AtCoder Beginner Contest 084 - 2017-like Number

We say that a odd number N is similar to 2017 when both N and (N+1)/2 are prime.
You are given Q queries.
In the i-th query, given two odd numbers l_i and r_i, find the number of odd numbers x similar to 2017 such that l_i ≤ x ≤ r_i.

-----Constraints-----
 - 1≤Q≤10^5
 - 1≤l_i≤r_i≤10^5
 - l_i and r_i are odd.
 - All input values are integers.

-----Input-----
Input is given from Standard Input in the following format:
Q
l_1 r_1
:
l_Q r_Q

-----Output-----
Print Q lines. The i-th line (1≤i≤Q) should contain the response to the i-th query.

-----Sample Input-----
1
3 7

-----Sample Output-----
2

 - 3 is similar to 2017, since both 3 and (3+1)/2=2 are prime.
 - 5 is similar to 2017, since both 5 and (5+1)/2=3 are prime.
 - 7 is not similar to 2017, since (7+1)/2=4 is not prime, although 7 is prime.
Thus, the response to the first query should be 2.

Source: atcoder | Difficulty: MEDIUM


Solutions:
def is_prime(N):
	if N == 1:
		return False
	if N == 2:
		return True
	d = 2
	while d * d <= N:
		if N % d == 0:
			return False
		d += 1
	return True
Q = int(input())
S = [0] * 100010
for i in range(3, 100010, 2):
	S[i] += S[i - 2]
	if is_prime(i) and is_prime((i + 1) // 2):
		S[i] += 1
for q in range(Q):
	(l, r) = map(int, input().split())
	print(S[r] - S[max(0, l - 2)])


INF = 10 ** 5 + 1
p = [1] * INF
for i in range(2, INF):
	if p[i]:
		for j in range(2 * i, INF, i):
			p[j] = 0
(p[0], p[1]) = (0, 0)
q = [0] * INF
for i in range(INF):
	if i % 2 == 0:
		continue
	if p[i] * p[(i + 1) // 2]:
		q[i] = 1
for i in range(1, INF):
	q[i] += q[i - 1]
n = int(input())
for _ in range(n):
	(l, r) = map(int, input().split())
	print(q[r] - q[l - 1])


q = int(input())
s = set()
arr = [0] * (10 ** 5 + 1)
for i in range(2, 10 ** 5 + 1):
	if arr[i] == 0:
		s.add(i)
		for j in range(i, 10 ** 5 + 1, i):
			arr[j] += 1
cnt = [0] * (10 ** 5 + 1)
for i in range(10 ** 5 + 1):
	if i in s and (i + 1) // 2 in s:
		cnt[i] = 1
for i in range(10 ** 5):
	cnt[i + 1] += cnt[i]
for _ in range(q):
	(l, r) = map(int, input().split())
	print(cnt[r] - cnt[l - 1])


import sys
input = sys.stdin.readline
Q = int(input())
primes = set()
not_p = set()
for i in range(2, 10 ** 5 + 1):
	if i not in not_p:
		primes.add(i)
		for j in range(i + i, 10 ** 5 + 1, i):
			not_p.add(j)
acum = [0 for _ in range(10 ** 5 + 1)]
for i in range(3, 10 ** 5 + 1, 2):
	if i in primes and (i + 1) // 2 in primes:
		acum[i] += 1
	acum[i] += acum[i - 2]
for _ in range(Q):
	(l, r) = map(int, input().split())
	print(acum[r] - acum[l - 2])


q = int(input())
n = 10 ** 5
nums = [False] * 2 + [True] * (n - 2)
ans = [0] * n
for i in range(2, n):
	if nums[i]:
		for j in range(i * 2, n, i):
			nums[j] = False
pre = 0
for i in range(3, n, 2):
	if nums[i] and nums[(i + 1) // 2]:
		ans[i] += pre + 1
		pre = ans[i]
	else:
		ans[i] = pre
for _ in range(q):
	(l, r) = list(map(int, input().split()))
	print(ans[r] - ans[max(l - 2, 1)])


s = [1] * 100001
(s[0], s[1]) = (0, 0)
for i in range(2, 100001):
	if s[i] == 1:
		x = i * 2
		while x <= 100000:
			s[x] = 0
			x += i
ans = [0] * 100001
for i in range(3, 100001, 2):
	if s[i] == 1 and s[(i + 1) // 2] == 1:
		ans[i] = ans[i - 1] + 1
	else:
		ans[i] = ans[i - 1]
	ans[i + 1] = ans[i]
q = int(input())
for i in range(q):
	(l, r) = map(int, input().split())
	print(ans[r] - ans[l - 1])


n = int(input())

def gen_primes(limit):
	prime_table = [True] * (limit + 1)
	prime_table[0] = False
	prime_table[1] = False
	for i in range(2, int(limit ** 0.5) + 1):
		prime_table[i + i::i] = [False] * (limit // i - 1)
	return prime_table
primes = gen_primes(10 ** 5)
like2017 = [0] * len(primes)
for i in range(1, len(primes), 2):
	if primes[i] and primes[(i + 1) // 2]:
		like2017[i] = 1
from itertools import accumulate
like2017 = list(accumulate(like2017))
for _ in range(n):
	(l, r) = list(map(int, input().split()))
	print(like2017[r] - like2017[l - 1])


def sb(n):
	arr = []
	temp = n
	for i in range(2, int(-(-n ** 0.5 // 1)) + 1):
		if temp % i == 0:
			cnt = 0
			while temp % i == 0:
				cnt += 1
				temp //= i
			arr.append([i, cnt])
	if temp != 1:
		arr.append([temp, 1])
	if arr == []:
		arr.append([n, 1])
	return arr
num = [0] * (10 ** 5 + 1)
num2 = [0] * (10 ** 5 + 1)
cnt = [0] * (10 ** 5 + 1)
num[2] += 1
for i in range(2, 10 ** 5 + 1):
	if i % 2 == 1:
		n = sb(i)
		if len(n) == 1 and n[0][1] == 1:
			num[i] += 1
		if num[i] == 1 and num[(i + 1) // 2] == 1:
			num2[i] += 1
for i in range(1, len(num2)):
	cnt[i] = cnt[i - 1] + num2[i]
q = int(input())
for i in range(q):
	(l, r) = list(map(int, input().split()))
	print(cnt[r] - cnt[l - 1])


import math

def is_prime(n):
	if n == 1:
		return False
	for k in range(2, int(math.sqrt(n)) + 1):
		if n % k == 0:
			return False
	return True
Q = int(input())
L = [0] * 100000
S = [0] * 100001
for i in range(100000):
	if is_prime(i + 1) and is_prime((i + 2) / 2):
		L[i] = 1
L[1] = 0
for i in range(len(L)):
	S[i + 1] = S[i] + L[i]
for i in range(Q):
	(l, r) = map(int, input().split())
	print(S[r] - S[l - 1])


import bisect
a = [True] * 100001
a[0] = False
a[1] = False
p = []
for i in range(2, 100001):
	if a[i]:
		for j in range(i * 2, 100001, i):
			a[j] = False
		if i % 2 != 0 and a[(i + 1) // 2]:
			p.append(i)
q = int(input())
for i in range(q):
	(l, r) = map(int, input().split())
	print(bisect.bisect_right(p, r) - bisect.bisect_left(p, l))


Q = int(input())
LR = [list(map(int, input().split())) for _ in range(Q)]
prime = [1] * (10 ** 5 + 10)
prime[1] = 0
for i in range(2, 10 ** 5 + 10):
	if prime[i]:
		for j in range(2 * i, 10 ** 5 + 10, i):
			prime[j] = 0
Ans = [0] * (10 ** 5 + 10)
for a in range(2, 10 ** 5 + 9):
	if prime[a] and prime[int((a + 1) / 2)]:
		Ans[a] = 1
	Ans[a] += Ans[a - 1]
for (l, r) in LR:
	print(Ans[r] - Ans[l - 1])


import bisect
q = int(input())

def sieve(n):
	is_prime = [True for _ in range(n)]
	is_prime[0] = False
	for i in range(2, int(n ** 0.5 // 1 + 2)):
		if is_prime[i - 1]:
			j = 2 * i
			while j <= n:
				is_prime[j - 1] = False
				j += i
	table = [i for i in range(1, n + 1) if is_prime[i - 1] and is_prime[i // 2]]
	return table[1:]
x = sieve(10 ** 5 + 1)
ans = []
for _ in range(q):
	(l, r) = map(int, input().split())
	ans.append(bisect.bisect_right(x, r) - bisect.bisect_left(x, l))
print(*ans, sep='\n')


def prime_factor_table(n):
	table = [0] * (n + 1)
	for i in range(2, n + 1):
		if table[i] == 0:
			for j in range(i + i, n + 1, i):
				table[j] = i
	return table
l = prime_factor_table(100000)
l[0] = 1
l[1] = 1
l2 = [0] * 100000
for i in range(1, 100000, 2):
	x = (i + 1) // 2
	if l[i] == 0 and l[x] == 0:
		l2[i] = 1
l3 = [0]
for i in range(100000):
	x = l3[i] + l2[i]
	l3.append(x)
Q = int(input())
for i in range(Q):
	(a, b) = list(map(int, input().split()))
	print(l3[b + 1] - l3[a])


from bisect import *
import math

def is_prime(n):
	if n == 1:
		return False
	for k in range(2, int(math.sqrt(n)) + 1):
		if n % k == 0:
			return False
	return True
a = [i for i in range(2, 10 ** 5) if is_prime(i) and is_prime((i + 1) // 2)]
n = int(input())
for i in range(n):
	(c, d) = map(int, input().split())
	print(bisect_right(a, d) - bisect_left(a, c))


q = int(input())
l = [0] * (10 ** 5 + 1)
p = set()
for i in range(2, 10 ** 5 + 1):
	if l[i] == 0:
		l[i] = 1
		p.add(i)
		for j in range(2 * i, 10 ** 5 + 1, i):
			l[j] = -1
l = [0] * (10 ** 5 + 1)
for x in p:
	if (x + 1) // 2 in p:
		l[x] = 1
for i in range(1, 10 ** 5 + 1):
	l[i] += l[i - 1]
for _ in range(q):
	(s, r) = map(int, input().split())
	print(l[r] - l[s - 1])


q = int(input())
is_prime = [1] * (10 ** 5 + 1)
is_prime[0] = 0
is_prime[1] = 0
for i in range(2, 10 ** 5 + 1):
	if is_prime[i] == 1:
		for j in range(i + i, 10 ** 5 + 1, i):
			is_prime[j] = 0
ls = [0]
for i in range(1, 10 ** 5 + 1):
	if is_prime[i] == 1 and is_prime[(i + 1) // 2] == 1:
		ls.append(ls[i - 1] + 1)
	else:
		ls.append(ls[i - 1])
for i in range(q):
	(l, r) = map(int, input().split())
	print(ls[r] - ls[l - 1])


a = [0 for i in range(10 ** 5 + 3)]
b = [1 for i in range(10 ** 5 + 3)]
for i in range(2, 10 ** 5 + 3):
	if b[i] == 1:
		for j in range(2 * i, 10 ** 5 + 3, i):
			b[j] = 0
b[0] = 0
b[1] = 0
for i in range(1, 10 ** 5 + 3, 2):
	a[i] = b[i] and b[(i + 1) // 2]
e = [a[0]]
for i in range(1, 10 ** 5 + 3):
	e.append(a[i] + e[i - 1])
for i in range(int(input())):
	(l, r) = map(int, input().split())
	print(e[r] - e[l - 1])


import bisect
p = []
for i in range(3, 10 ** 5 + 1, 2):
	for j in range(3, int(i ** 0.5) + 1, 2):
		if i % j == 0:
			break
	else:
		p.append(i)
n = [3]
for i in p:
	x = (i + 1) // 2
	y = bisect.bisect_left(p, x)
	if x == p[y]:
		n.append(i)
for _ in range(int(input())):
	(l, r) = map(int, input().split())
	print(bisect.bisect_right(n, r) - bisect.bisect_right(n, l - 1))


q = int(input())
query = [list(map(int, input().split())) for _ in range(q)]

def factorize(n):
	if n == 0:
		return 0
	a = []
	while n % 2 == 0:
		a.append(2)
		n //= 2
	f = 3
	while f * f <= n:
		if n % f == 0:
			a.append(f)
			n //= f
		else:
			f += 2
	if n != 1:
		a.append(n)
	return len(a)
s = [0] * 100001
for i in range(100001):
	s[i] = factorize(i)
j = [0] * 100001
count = 0
for i in range(100000):
	if s[i] == 1:
		if s[(i + 1) // 2] == 1:
			count += 1
			j[i] = count
		else:
			j[i] = count
	else:
		j[i] = count
for (l, r) in query:
	print(j[r] - j[l - 1])


elst = [True for _ in range(10 ** 5 + 2)]
elst[0] = False
elst[1] = False
for (i, e) in enumerate(elst):
	if e:
		for j in range(2 * i, 10 ** 5 + 2, i):
			elst[j] = False
c = [0 for _ in range(10 ** 5 + 2)]
for i in range(1, 10 ** 5 + 2, 2):
	if elst[i] and elst[(i + 1) // 2]:
		c[i] += 1
for i in range(2, 10 ** 5 + 2):
	c[i] += c[i - 1]
q = int(input())
for _ in range(q):
	(l, r) = map(int, input().split())
	print(c[r] - c[l - 1])


import bisect
N = 10 ** 5
primes = [True] * (N + 1)
primes[0] = primes[1] = False
for i in range(2, int(len(primes) ** 0.5 + 1)):
	for j in range(i + i, len(primes), i):
		primes[j] = False
primes = [i for i in range(len(primes)) if primes[i]]
targets = [x for x in primes if (x + 1) // 2 in primes]
q = int(input())
for i in range(q):
	(l, r) = map(int, input().split())
	x = bisect.bisect_left(targets, l)
	y = bisect.bisect_right(targets, r)
	print(y - x)


q = int(input())
p = 10 ** 5 + 9
isp = [1] * p
i = 2
while i * i <= p:
	if isp[i]:
		for j in range(i * i, p, i):
			isp[j] = 0
	i += 1
isp[1] = isp[0] = 0
pre = [0] * p
for i in range(2, p):
	if isp[i] and isp[(i + 1) // 2]:
		pre[i] = pre[i - 1] + 1
	else:
		pre[i] = pre[i - 1]
for i in range(q):
	(a, b) = map(int, input().split())
	print(pre[b] - pre[a - 1])


import math
q = int(input())
num = [0] * (10 ** 5 + 5)
ans = [0] * (10 ** 5 + 5)
num[2] = 1
for i in range(3, 10 ** 5 + 2, 2):
	yn = 0
	for j in range(2, int(math.sqrt(i)) + 1):
		if i % j == 0:
			yn = 1
			break
	if yn == 0:
		num[i] = 1
		if num[(i + 1) // 2] == 1:
			ans[i] = 1
for i in range(1, len(num)):
	ans[i] = ans[i - 1] + ans[i]
for i in range(q):
	(l, r) = list(map(int, input().split()))
	print(ans[r] - ans[l - 1])


import numpy as np
q = int(input())
p = np.array([0] * (10 ** 5 + 1))
for i in range(2, 10 ** 5 + 1):
	p[::i] += 1
like = [0, 0, 0]
for j in range(3, 10 ** 5 + 1):
	if p[j] == 1 and p[(j + 1) // 2] == 1:
		plus = 1
	else:
		plus = 0
	like.append(like[-1] + plus)
for _ in range(q):
	(l, r) = map(int, input().split())
	ans = like[r] - like[l - 1]
	print(ans)


Q = int(input())
p = [True] * (10 ** 5 + 1)
p[0] = p[1] = False
for i in range(2, 10 ** 5 + 1):
	for j in range(2 * i, 10 ** 5 + 1, i):
		p[j] = False
pp = [0] * (10 ** 5 + 1)
for i in range(1, 10 ** 5 + 1):
	pp[i] = int(p[i] and p[(i + 1) // 2]) + pp[i - 1]
res = 0
for _ in range(Q):
	(l, r) = map(int, input().split())
	print(pp[r] - pp[l - 1])


n = 7 ** 6
P = [0, 0] + [1] * n
S = [0] * n
for i in range(2, n):
	for j in range(2 * i, n, i):
		P[j] = 0
	S[i] += (P[i] == P[(i + 1) // 2] == 1) + S[i - 1]
for _ in '_' * int(input()):
	(l, r) = map(int, input().split())
	print(S[r] - S[l - 1])


import sys, math
from functools import lru_cache
import numpy as np
from collections import defaultdict
sys.setrecursionlimit(10 ** 9)
MOD = 10 ** 9 + 7

def input():
	return sys.stdin.readline()[:-1]

def mi():
	return list(map(int, input().split()))

def ii():
	return int(input())

def i2(n):
	tmp = [list(mi()) for i in range(n)]
	return [list(i) for i in zip(*tmp)]

def makePrimeChecker(n):
	isPrime = [True] * (n + 1)
	isPrime[0] = False
	isPrime[1] = False
	for i in range(2, int(n ** 0.5) + 1):
		if isPrime[i]:
			for j in range(i * i, n + 1, i):
				isPrime[j] = False
	return isPrime

def main():
	Q = ii()
	(l, r) = i2(Q)
	m = max(r)
	dp = [0] * (m + 1)
	check = makePrimeChecker(m)
	for i in range(1, m + 1):
		if check[i] and check[(i + 1) // 2]:
			dp[i] = dp[i - 1] + 1
		else:
			dp[i] = dp[i - 1]
	for (ll, rr) in zip(l, r):
		print(dp[rr] - dp[ll - 1])

def __starting_point():
	main()
__starting_point()


from math import ceil, sqrt
n = 10 ** 5 + 200
hurui = [i for i in range(n + 1)]
for i in range(2, ceil(sqrt(n)) + 1):
	for j in range(2, ceil(sqrt(i)) + 1):
		if i == 2:
			continue
		if i % j == 0:
			break
	else:
		for k in range(i + i, n, i):
			if hurui[k] != k:
				continue
			hurui[k] = 0
	continue
hurui = [bool(i) for i in hurui]
poi = [False] * (n + 1)
for i in range(n + 1):
	poi[i] = i % 2 == 1 and hurui[i] and hurui[(i + 1) // 2]
poi[1] = False
sa = [0]
for i in range(n + 1):
	sa.append(sa[i] + poi[i])
q = int(input())
lr = [tuple(map(int, input().split())) for i in range(q)]
for (li, ri) in lr:
	print(sa[ri + 1] - sa[li])


q = int(input())
lr = [tuple(map(int, input().split())) for _ in range(q)]
n = 10 ** 5
ansl = []
sieve = [1] * (n + 1)
(sieve[0], sieve[1]) = (0, 0)
for i in range(2, n):
	if sieve[i]:
		for j in range(2 * i, n + 1, i):
			sieve[j] = 0
ans = [0] * (n + 1)
for i in range(3, n):
	if sieve[i] == 1 and sieve[(i + 1) // 2] == 1:
		ans[i] = ans[i - 1] + 1
	else:
		ans[i] = ans[i - 1]
for e in lr:
	print(ans[e[1]] - ans[e[0] - 1])


numq = int(input())
lis = [1] * 100001
lis[0] = 0
lis[1] = 0
i = 2
while i < 318:
	if lis[i] == 1:
		k = 2
		while i * k < 100001:
			lis[i * k] = 0
			k += 1
	i += 1
lis2 = [0] * 100001
for i in range(1, 100001):
	if i % 2 == 1 and lis[i] == lis[(i + 1) // 2] == 1:
		lis2[i] = lis2[i - 1] + 1
	else:
		lis2[i] = lis2[i - 1]
for _ in range(numq):
	(a, b) = map(int, input().split())
	print(lis2[b] - lis2[a - 1])


q = int(input())
n = 10 ** 5 + 10
d = [0] + [1 for _ in range(n)]
d[1] = 0
f = 2
while f * f < n + 1:
	i = 2
	while f * i <= n:
		d[f * i] = 0
		i += 1
	f += 1
	while d[f] == 0 and f * f < n + 1:
		f += 1
e = [0 for _ in range(n + 1)]
for i in range(1, n + 1, 2):
	if d[i] == 1 and d[(i + 1) // 2] == 1:
		e[i] = 1
e[1] = 0
import itertools
an = list(itertools.accumulate(e))
for i in range(q):
	(l, r) = map(int, input().split())
	print(an[r] - an[l - 1])


n = [True] * 100001
n[0] = n[1] = False
for i in range(2, 317):
	if n[i]:
		for j in range(i ** 2, 100000, i):
			n[j] = False
c = [0] * 100002
for i in range(3, 100001, 2):
	if n[i] and n[int((i + 1) / 2)]:
		c[i] = c[i] + 1
for i in range(3, 100001):
	c[i] = c[i] + c[i - 1]
for i in range(int(input())):
	a = input().split(' ')
	print(c[int(a[1])] - c[int(a[0]) - 1])


import sys
input = sys.stdin.readline
from math import sqrt

def Eratosthenes(n):
	(n, correction) = (n - n % 6 + 6, 2 - (n % 6 > 1))
	sieve = [True] * (n // 3)
	for i in range(1, int(sqrt(n)) // 3 + 1):
		if sieve[i]:
			k = 3 * i + 1 | 1
			sieve[k * k // 3::2 * k] = [False] * ((n // 6 - k * k // 6 - 1) // k + 1)
			sieve[k * (k - 2 * (i & 1) + 4) // 3::2 * k] = [False] * ((n // 6 - k * (k - 2 * (i & 1) + 4) // 6 - 1) // k + 1)
	s = [False] * n
	for i in range(1, n // 3 - correction):
		if sieve[i]:
			s[3 * i + 1 | 1] = True
	s[2] = True
	s[3] = True
	return s
sieve = Eratosthenes(10 ** 5 + 1)
ans = [0] * (10 ** 5 + 1)
for i in range(3, 10 ** 5, 2):
	if sieve[i] and sieve[(i + 1) // 2]:
		ans[i] += 1
for i in range(3, 10 ** 5):
	ans[i + 1] += ans[i]
q = int(input())
for i in range(q):
	(l, r) = list(map(int, input().split()))
	print(ans[r] - ans[l - 1])


def get_sieve_of_eratosthenes(n):
	if not isinstance(n, int):
		raise TypeError('n is int type.')
	if n < 2:
		raise ValueError('n is more than 2')
	prime = [2]
	limit = int(n ** 0.5)
	data = [i + 1 for i in range(2, n, 2)]
	while True:
		p = data[0]
		if limit < p:
			return prime + data
		prime.append(p)
		data = [e for e in data if e % p != 0]
MAX = pow(10, 5) + 10
A = get_sieve_of_eratosthenes(MAX)
A = set(A)
S = [0]
for i in range(1, MAX):
	if i in A and (i + 1) % 2 == 0 and ((i + 2) // 2 in A):
		temp = S[-1] + 1
	else:
		temp = S[-1]
	S.append(temp)
Q = int(input())
for i in range(Q):
	(l, r) = map(int, input().split())
	ans = S[r] - S[l - 1]
	print(ans)


B = [False] * 100005
C = [0] * 100005
for i in range(2, 100001):
	if not B[i]:
		for j in range(i + i, 100001, i):
			B[j] = True
for i in range(3, 100001, 2):
	if not B[i] and (not B[(i + 1) // 2]):
		C[i] += 1
for i in range(3, 100001):
	C[i] = C[i] + C[i - 1]
N = int(input())
for _ in range(N):
	(a, b) = map(int, input().split())
	print(C[b] - C[a - 1])


import math

def isPrime(n):
	m = (n + 1) // 2
	n_sqrt = int(math.sqrt(n))
	for i in range(2, n_sqrt + 1):
		if n % i == 0 or m % i == 0:
			return 0
	return 1
Q = int(input())
MAX = 10 ** 5 + 1
prime = [0] * MAX
for i in range(3, MAX):
	prime[i] = prime[i - 1] + isPrime(i)
ans = []
for _ in range(Q):
	(l, r) = map(int, input().split())
	ans.append(prime[r] - prime[l - 1])
for a in ans:
	print(a)


q = int(input())
p = [True] * 100010
s = [0] * 100010
p[0] = False
p[1] = False
i = 2
while i <= 100005:
	if p[i]:
		j = i * 2
		while j <= 100005:
			p[j] = False
			j += i
	i += 1
for i in range(100005):
	if i & 1 and p[i] and p[(i + 1) // 2]:
		s[i] += 1
for i in range(100005):
	s[i + 1] += s[i]
for _ in range(q):
	(l, r) = list(map(int, input().split()))
	print(s[r] - s[l - 1])


import math
n = 10 ** 5 + 1
prime = [1] * (n + 1)
prime[0] = 0
prime[1] = 0
for i in range(2, int(math.sqrt(n)) + 1):
	if not prime[i]:
		continue
	for j in range(i * 2, n + 1, i):
		prime[j] = 0
A = [0] * (n + 1)
for i in range(1, n, 2):
	j = (i + 1) // 2
	if prime[i] and prime[j]:
		A[i] = 1
for i in range(1, n + 1):
	A[i] += A[i - 1]
Q = int(input())
for i in range(Q):
	(l, r) = map(int, input().split())
	print(A[r] - A[l - 1])


from itertools import accumulate
N = 100000
prime = [True for _ in range(N + 1)]
prime[0] = False
prime[1] = False
i = 2
for i in range(N + 1):
	if prime[i]:
		for j in range(2 * i, N + 1, i):
			prime[j] = False
prime2 = [1 if prime[i] and prime[(i + 1) // 2] else 0 for i in range(N + 1)]
acc = list(accumulate(prime2))
Q = int(input())
for _ in range(Q):
	(l, r) = map(int, input().split())
	print(acc[r] - acc[l - 1])


q = int(input())

def prime(n):
	if any((n % i == 0 or (n + 1) / 2 % i == 0 for i in range(2, int(n ** (1 / 2)) + 1))):
		return False
	else:
		return True
cum = [0] * 10 ** 5
cum[3] = 1
for i in range(4, 10 ** 5):
	cum[i] = cum[i - 1]
	if prime(i):
		cum[i] += 1
for i in range(q):
	(l, r) = map(int, input().split())
	print(cum[r] - cum[l - 1])


prime = {1: False}
for i in range(2, 100001):
	if i not in prime:
		prime[i] = True
		for j in range(i * 2, 100001, i):
			prime[j] = False
like = {0: 0}
for i in range(1, 100001):
	like[i] = like[i - 1] + int(i % 2 == 1 and prime[i] and prime[int((i + 1) / 2)])
Q = int(input())
for i in range(Q):
	LR = list(map(int, input().split()))
	print('%d' % (like[LR[1]] - like[LR[0] - 1]))


Q = int(input())
lr = [list(map(int, input().split())) for _ in range(Q)]
N = 10 ** 5 + 1
L = [1] * N
L[0] = 0
L[1] = 0
for i in range(2, N // 2):
	if L[i] == 1:
		for j in range(i * 2, N, i):
			L[j] = 0
S = [0] * N
for i in range(3, N, 2):
	S[i] = S[i - 2]
	if L[i] and L[(i + 1) // 2]:
		S[i] += 1
for (l, r) in lr:
	print(S[r] - S[max(l - 2, 1)])


MAX = 10 ** 5 + 1
f = [True] * MAX
c = [0] * (MAX + 1)
for i in range(2, MAX):
	if f[i]:
		for j in range(i + i, MAX, i):
			f[j] = False
for i in range(3, MAX, 2):
	if f[i] and f[(i + 1) // 2]:
		c[i] += 1
for i in range(3, MAX):
	c[i] += c[i - 1]
Q = int(input())
for i in range(Q):
	(l, r) = map(int, input().split())
	print(c[r] - c[l - 1])


import math

def is_prime(n):
	if n == 1:
		return False
	for k in range(2, int(math.sqrt(n)) + 1):
		if n % k == 0:
			return False
	return True
flg = [1 if i % 2 == 1 and is_prime(i) and is_prime((i + 1) // 2) else 0 for i in range(100001)]
for i in range(1, 100001):
	flg[i] += flg[i - 1]
for i in range(int(input())):
	(l, r) = map(int, input().split())
	print(flg[r] - flg[l - 1])


N = 10 ** 5
D = [0] * (N + 1)
for i in range(2, N + 1):
	if D[i] == 0:
		for j in range(i, N + 1, i):
			if D[j] == 0:
				D[j] = i
T = [0] * (N + 1)
for i in range(3, N, 2):
	if D[i] == i and D[i + 1] == 2 and (D[(i + 1) // 2] == (i + 1) // 2):
		T[i] = 1
S = [0] * (N + 1)
for i in range(N):
	S[i + 1] = S[i] + T[i + 1]
Q = int(input())
for i in range(Q):
	(l, r) = list(map(int, input().split()))
	print(S[r] - S[l - 1])


Q = int(input())
qs = [tuple(map(int, input().split())) for i in range(Q)]
MAXN = 10 ** 5 + 10
sieve = [0, 0] + [1] * MAXN
p = 2
while p * p <= MAXN:
	if sieve[p]:
		for q in range(2 * p, MAXN + 1, p):
			sieve[q] = 0
	p += 1
cums = [0]
for i in range(1, MAXN):
	valid = sieve[i] and sieve[(i + 1) // 2]
	cums.append(cums[-1] + int(valid))
for (l, r) in qs:
	ans = cums[r] - cums[l - 1]
	print(ans)


Q = int(input())
Qs = [list(map(int, input().split())) for _ in range(Q)]
Prime = [0] * 100001
count = 0

def Isprime(i):
	for j in range(2, int(i ** 0.5) + 1):
		if i % j == 0:
			return False
	return True
for i in range(3, 100001, 2):
	if Isprime(i) and Isprime((i + 1) // 2):
		Prime[i] = 1
		count += 1
for i in range(1, 100001):
	Prime[i] = Prime[i] + Prime[i - 1]
for q in Qs:
	print(Prime[q[1]] - Prime[q[0] - 1])


q = int(input())
n = 10 ** 6
is_prime = [True] * (n + 1)
is_prime[0] = False
is_prime[1] = False
for i in range(2, int(n ** 0.5) + 1):
	if not is_prime[i]:
		continue
	for j in range(i * 2, n + 1, i):
		is_prime[j] = False
P = [0] * 10 ** 6
for i in range(1, 10 ** 6 - 1):
	if is_prime[i + 1] == True and is_prime[(i + 2) // 2] == True:
		P[i + 1] = P[i] + 1
	else:
		P[i + 1] = P[i]
for i in range(1, q + 1):
	(l, r) = map(int, input().split())
	print(P[r] - P[l - 1])


P = [1 for _ in range(10 ** 5)]
P[0] = 0
P[1] = 0
for i in range(2, int((10 ** 5) ** 0.5) + 1):
	for j in range(i * i, 10 ** 5, i):
		P[j] = 0
Q = []
for i in range(3, 10 ** 5, 2):
	if P[i] == 1 and P[(i + 1) // 2] == 1:
		Q.append(i)
A = [0 for _ in range(10 ** 5 + 1)]
for q in Q:
	A[q] = 1
for i in range(1, 10 ** 5 + 1):
	A[i] += A[i - 1]
Q = int(input())
for _ in range(Q):
	(l, r) = map(int, input().split())
	print(A[r] - A[l - 1])


Q = int(input().strip())
NUMS = 100000
fs = [True] * (NUMS + 1)
cs = [0] * (NUMS + 1)
for i in range(2, NUMS):
	if fs[i]:
		for j in range(i + i, NUMS, i):
			fs[j] = False
for i in range(3, NUMS, 2):
	if fs[i] and fs[int((i + 1) / 2)]:
		cs[i] += 1
for i in range(3, NUMS):
	cs[i] = cs[i] + cs[i - 1]
for i in range(0, Q):
	(l, r) = map(int, input().strip().split())
	print(cs[r] - cs[l - 1])


q = int(input())
n = 10 ** 5 + 1
flag = [True] * n
flag[1] = False
for i in range(4, n, 2):
	flag[i] = False
for i in range(3, int(n ** 0.5) + 1, 2):
	if flag[i]:
		for j in range(i + i, n, i):
			flag[j] = False
nums = [0] * n
for i in range(1, n):
	if i % 2 == 1:
		if flag[i] and flag[(i + 1) // 2]:
			nums[i] = nums[i - 1] + 1
		else:
			nums[i] = nums[i - 1]
	else:
		nums[i] = nums[i - 1]
for _ in range(q):
	(l, r) = map(int, input().split())
	print(nums[r] - nums[l - 1])


import numpy as np
import bisect

def sieve_of_eratosthenes(n):
	max = int(np.sqrt(n))
	seachList = [i for i in range(2, n + 1)]
	primeNum = []
	while seachList[0] <= max:
		primeNum.append(seachList[0])
		prm = seachList[0]
		seachList = [i for i in seachList if i % prm != 0]
	primeNum.extend(seachList)
	return primeNum
Q = int(input())
l = []
r = []
for i in range(Q):
	(a, b) = list(map(int, input().split()))
	l.append(a)
	r.append(b)
prime_list = sieve_of_eratosthenes(max(r))
ruiseki = [0] * len(prime_list)
for i in range(len(prime_list)):
	if (prime_list[i] + 1) // 2 in prime_list:
		ruiseki[i] += 1 + ruiseki[i - 1]
	else:
		ruiseki[i] = ruiseki[i - 1]
ruiseki.insert(0, 0)
for i in range(Q):
	ans = 0
	ans = ruiseki[bisect.bisect_right(prime_list, r[i])] - ruiseki[bisect.bisect_left(prime_list, l[i])]
	print(ans)


n = 10 ** 5
p = [0, 0] + [1] * ~-n
for i in range(2, int(n ** 0.5) + 1):
	if not p[i]:
		continue
	for j in range(i * 2, n + 1, i):
		p[j] = 0
c = [0]
for i in range(1, n + 1):
	c.append(c[-1] + (i % 2 and p[i] and p[-~i // 2]))
for _ in range(int(input())):
	(l, r) = map(int, input().split())
	print(c[r] - c[l - 1])


def erat(M):
	p = [1] * M
	p[0] = p[1] = 0
	for x in range(2, int((M - 1) ** 0.5) + 1):
		if p[x]:
			for y in range(x * x, M, x):
				p[y] = 0
	return p
INF = 10 ** 5 + 1
p = erat(INF)
q = [0] * INF
from itertools import *
for i in range(INF):
	q[i] = i % 2 * p[i] * p[-~i // 2]
(*a,) = accumulate([0] + q)
for _ in [None] * int(input()):
	(l, r) = map(int, input().split())
	print(a[-~r] - a[l])


def isPrime(x):
	for i in range(2, int(x ** 0.5) + 1):
		if x % i == 0:
			return False
	return True
dp = [0] * 10 ** 5
for i in range(3, 10 ** 5, 2):
	if isPrime(i) and isPrime((i + 1) // 2):
		dp[i] = dp[i - 2] + 1
	else:
		dp[i] = dp[i - 2]
Q = int(input())
for i in range(Q):
	(l, r) = map(int, input().split())
	print(dp[r] if l == 1 else dp[r] - dp[l - 2])


def isPrime(n):
	if n == 0 or n == 1:
		return 0
	for i in range(2, n):
		if i * i > n:
			return 1
		if n % i == 0:
			return 0
	return 1
N = 100010
cnt = [0] * N
for x in range(1, N):
	cnt[x] = cnt[x - 1] + (isPrime(x) and isPrime((x + 1) // 2))
Q = int(input())
for i in range(Q):
	(l, r) = list(map(int, input().split()))
	ans = cnt[r] - cnt[l - 1]
	print(ans)


def pre_calcularion():
	num_max = 10 ** 5
	lst = [True] * (num_max + 1)
	lst[0] = 0
	lst[1] = 0
	for n in range(2, int(num_max ** 0.5) + 1):
		for i in range(2 * n, num_max + 1, n):
			lst[i] = False
	cumsum_lst = [0] * (num_max + 1)
	cal = 0
	for n in range(num_max + 1):
		res = (n + 1) // 2
		if n % 2 == 1 and lst[n] and lst[res]:
			cal += 1
		cumsum_lst[n] = cal
	return cumsum_lst

def main():
	Q = int(input())
	lst = pre_calcularion()
	for _ in range(Q):
		(left, right) = list(map(int, input().split()))
		print(lst[right] - lst[left - 1])

def __starting_point():
	main()
__starting_point()


Q = int(input())
fact = [True] * (10 ** 5 + 1)
fact[0] = False
fact[1] = False
num = [0] * (10 ** 5 + 1)
cur = 0
for i in range(len(fact)):
	if fact[i]:
		for j in range(i * 2, len(fact), i):
			fact[j] = False
		if fact[(i + 1) // 2]:
			cur += 1
	num[i] = cur
for i in range(Q):
	(l, r) = map(int, input().split())
	print(num[r] - num[l - 1])


def prime_table(n):
	arr = [True] * (n + 1)
	(arr[0], arr[1]) = (False, False)
	for i in range(2, N + 1):
		if not arr[i]:
			continue
		j = 2 * i
		while j <= n:
			arr[j] = False
			j += i
	return arr
N = 10 ** 5
pt = prime_table(N)
cum = [0] * (N + 1)
for i in range(1, N + 1, 2):
	if pt[i] and pt[(i + 1) // 2]:
		cum[i] = 1
for i in range(1, N + 1):
	cum[i] += cum[i - 1]
Q = int(input())
ans = []
for _ in range(Q):
	(l, r) = map(int, input().split())
	ans.append(cum[r] - cum[l - 1])
print(*ans, sep='\n')


a = [0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 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669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 669, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 670, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 671, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672, 672]
q = int(input())
for _ in range(q):
	(l, r) = map(int, input().split())
	print(a[r] - a[l - 1])


import numpy as np

def isPrimeNum(x):
	if type(x) is not int:
		return False
	if x <= 1:
		return False
	if x <= 3:
		return True
	max = int(np.sqrt(x))
	for i in range(2, max + 1):
		if x % i == 0:
			return False
	return True

def isNumLike2017(x):
	if isPrimeNum(x) == False:
		return False
	if isPrimeNum(int((x + 1) / 2)) == False:
		return False
	return True
N = 10 ** 5
X = np.zeros(N + 1, dtype='int64')
for i in range(1, N + 1):
	if isNumLike2017(i):
		X[i] += 1
X = X.cumsum()
Q = int(input())
for _ in range(Q):
	(l, r) = input().split()
	(l, r) = (int(l), int(r))
	print(X[r] - X[l - 1])


import sys
read = sys.stdin.read
from itertools import accumulate

def main():
	maxa2 = 10 ** 5 + 1
	maxa2 = max(6, maxa2)
	p = [False if i % 2 == 0 or i % 3 == 0 or i % 5 == 0 else True for i in range(maxa2)]
	p[0] = p[1] = False
	p[2] = p[3] = p[5] = True
	for is1 in range(3, maxa2, 2):
		for is2 in range(is1 ** 2, maxa2, is1):
			p[is2] = False
	prime_list = [i for (i, b) in enumerate(p) if b]
	p2017 = [0] * (10 ** 5 * 2 + 1)
	for pr in prime_list:
		if p[(pr + 1) // 2]:
			p2017[pr] = True
	p2017a = tuple(accumulate(p2017))
	q = int(input())
	m = map(int, read().split())
	for (l, r) in zip(m, m):
		print(p2017a[r] - p2017a[l - 1])

def __starting_point():
	main()
__starting_point()


import bisect
import math
MAX = 10 ** 5
res = [3]

def prime(x):
	for i in range(2, int(math.sqrt(x)) + 1):
		if x % i == 0:
			return False
	return True
for i in range(3, MAX, 2):
	if prime(i) and prime(i * 2 - 1):
		res.append(i * 2 - 1)
q = int(input())
for i in range(q):
	(l, r) = map(int, input().split())
	print(bisect.bisect_right(res, r) - bisect.bisect_left(res, l))


import sys
from collections import deque
from collections import defaultdict
from itertools import accumulate
import heapq
import collections
import itertools
import bisect
import copy
import math
sys.setrecursionlimit(10 ** 6)

def zz():
	return list(map(int, sys.stdin.readline().split()))

def z():
	return int(sys.stdin.readline())

def S():
	return sys.stdin.readline()[:-1]

def C(line):
	return [sys.stdin.readline() for _ in range(line)]

def get_sieve_of_eratosthenes(n):
	if not isinstance(n, int):
		raise TypeError('n is int type.')
	if n < 2:
		raise ValueError('n is more than 2')
	prime = [2]
	limit = int(n ** 0.5)
	data = [i + 1 for i in range(2, n, 2)]
	while True:
		p = data[0]
		if limit <= p:
			return prime + data
		prime.append(p)
		data = [e for e in data if e % p != 0]
max_ = pow(10, 5) + 2
primes = get_sieve_of_eratosthenes(max_)
num_lile2017 = [0] * max_
primes2 = []
for prime in primes:
	primes2.append(2 * prime - 1)
like2017 = sorted(list(set(primes2) & set(primes)))
for i in range(3, max_, 2):
	if i in like2017:
		num_lile2017[i] = 1
num_lile2017 = list(accumulate(num_lile2017))
Q = z()
for i in range(Q):
	(l, r) = zz()
	print(num_lile2017[r] - num_lile2017[l - 1])


p = [True] * 100010
p[0] = p[1] = False
for i in range(2, 100000):
	if p[i]:
		for j in range(2 * i, 100000, i):
			p[j] = False
s = [0] * 100010
for i in range(100000):
	if p[i] and p[(i + 1) // 2]:
		s[i] = s[i - 1] + 1
	else:
		s[i] = s[i - 1]
q = int(input())
for i in range(q):
	(l, r) = map(int, input().split())
	print(s[r] - s[l - 1])


Q = int(input())
SOSU = {2}
from collections import defaultdict
data = dict()
data[-1] = 0
data[0] = 0
data[1] = 0
data[2] = 0
for i in range(3, 10 ** 5 + 1, 2):
	data[i] = data[i - 2]
	flag = True
	for j in range(3, int(i ** 0.5) + 1):
		if i % j == 0:
			flag = False
			break
	if flag:
		SOSU |= {i}
		if (i + 1) // 2 in SOSU:
			data[i] += 1
for q in range(Q):
	(l, r) = map(int, input().split())
	print(data[r] - data[l - 2])


import itertools
n = int(input())
lr = [[int(i) for i in input().split()] for _ in range(n)]
max = 101010
p = [1] * max
p[0] = 0
p[1] = 0
for i in range(2, max):
	if p[i] == 1:
		for j in range(int(i * 2), max, i):
			p[j] = 0
a = [0] * (max + 1)
for i in range(1, max, 2):
	if p[i] == p[(i + 1) // 2] == 1:
		a[i + 1] = 1
a = list(itertools.accumulate(a))
for (l, r) in lr:
	print(a[r + 1] - a[l])


import itertools

def sieve(x):
	p = []
	b = [1] * (x + 1)
	for i in range(2, x + 1):
		if b[i]:
			p += [i]
			for j in range(2 * i, x + 1, i):
				b[j] = 0
	return p
p = sieve(10 ** 5)
s = set((i for i in p if i < 5 * 10 ** 4))
l = [0] * 10 ** 5
for i in p[1:]:
	if i // 2 + 1 in s:
		l[i] = 1
S = list(itertools.accumulate(l))
Q = int(input())
for _ in range(Q):
	(l, r) = list(map(int, input().split()))
	print(S[r] - S[l - 1])


prime = [0, 0] + [1] * 100010
for i in range(int(100010 ** 0.5)):
	if prime[i]:
		for j in range(i * 2, 100010, i):
			prime[j] = 0
alike = [prime[i] and prime[(i + 1) // 2] for i in range(100001)]
for i in range(1, 100001):
	alike[i] += alike[i - 1]
q = int(input())
for i in range(q):
	(l, r) = map(int, input().split())
	print(alike[r] - alike[l - 1])


N = 10 ** 5
p = [0] * (N + 1)
q = [0] * (N + 1)
p[2] = 1
primes = [2]
for i in range(3, N + 1):
	f = 1
	for t in primes:
		if t * t > i:
			break
		if i % t == 0:
			f = 0
			break
	if f == 1:
		primes.append(i)
		p[i] = 1
		if p[(i + 1) // 2]:
			q[i] = 1
m = 0
s = [0] * (N + 1)
for i in range(1, N + 1):
	m += q[i]
	s[i] = m
for i in range(int(input())):
	(l, r) = map(int, input().split())
	print(s[r] - s[l - 1])


q = int(input())
from math import sqrt
M = 10 ** 6
p = [1] * (M + 1)
p[0] = p[1] = 0
for x in range(2, int(sqrt(M)) + 1):
	if p[x]:
		for y in range(x * x, M + 1, x):
			p[y] = 0
ansl = []
ans = 0
for i in range(10 ** 5 + 1):
	if i % 2 == 1:
		if p[i] == 1 and p[(i + 1) // 2] == 1:
			ans += 1
	ansl.append(ans)
for _ in range(q):
	(l, r) = map(int, input().split())
	print(ansl[r] - ansl[l - 1])


from itertools import accumulate
n = 10 ** 5 + 1
primes = set(range(3, n + 1, 2))
for i in range(3, int(n ** 0.5 + 1)):
	primes.difference_update(range(i * 2, n + 1, i))
primes.add(2)

def like_2017(n):
	return n in primes and (n + 1) // 2 in primes
result = [0] * 10 ** 5
for i in range(1, 10 ** 5 + 1, 2):
	result[i] = like_2017(i)
cumsum = list(accumulate(result))
q = int(input())
for _ in range(q):
	(l, r) = map(int, input().split())
	print(cumsum[r] - cumsum[l - 1])


N = 100001
pr = [True] * (N + 1)
c = [0] * (N + 1)
pr[0] = pr[1] = False
for i in range(2, N):
	if pr[i]:
		for j in range(i + i, N, i):
			pr[j] = False
for i in range(3, N, 2):
	if pr[i] and pr[(i + 1) // 2]:
		c[i] += 1
for i in range(3, N):
	c[i] += c[i - 1]
Q = int(input())
for _ in range(Q):
	(l, r) = map(int, input().split())
	print(c[r] - c[l - 1])


Q = int(input())
prime = [1] * 100000
sum2017 = [0] * 100000
count = 0
for i in range(2, 10 ** 5):
	if prime[i - 1] == 1:
		for j in range(i - 1 + i, 10 ** 5, i):
			prime[j] = 0
for i in range(0, 10 ** 5, 2):
	if prime[i] == 1 and prime[i // 2] == 1:
		count += 1
	sum2017[i] = count
for i in range(Q):
	(l, r) = map(int, input().split())
	if l != 1 and sum2017[l - 1] != sum2017[l - 3]:
		print(sum2017[r - 1] - sum2017[l - 1] + 1)
	else:
		print(sum2017[r - 1] - sum2017[l - 1])


import bisect
n = int(input())
A = [-1, 3, 5, 13, 37, 61, 73, 157, 193, 277, 313, 397, 421, 457, 541, 613, 661, 673, 733, 757, 877, 997, 1093, 1153, 1201, 1213, 1237, 1321, 1381, 1453, 1621, 1657, 1753, 1873, 1933, 1993, 2017, 2137, 2341, 2473, 2557, 2593, 2797, 2857, 2917, 3061, 3217, 3253, 3313, 3517, 3733, 4021, 4057, 4177, 4261, 4273, 4357, 4441, 4561, 4621, 4933, 5077, 5101, 5113, 5233, 5413, 5437, 5581, 5701, 6037, 6073, 6121, 6133, 6217, 6337, 6361, 6373, 6637, 6661, 6781, 6997, 7057, 7213, 7393, 7417, 7477, 7537, 7753, 7933, 8053, 8101, 8221, 8317, 8353, 8461, 8521, 8677, 8713, 8893, 9013, 9133, 9181, 9241, 9277, 9601, 9661, 9721, 9817, 9901, 9973, 10333, 10357, 10453, 10837, 10861, 10957, 11113, 11161, 11317, 11497, 11677, 11701, 12073, 12157, 12241, 12301, 12421, 12433, 12457, 12541, 12553, 12601, 12721, 12757, 12841, 12853, 13093, 13381, 13417, 13681, 13921, 13933, 14437, 14593, 14737, 14821, 15013, 15073, 15121, 15241, 15277, 15361, 15373, 15733, 15901, 16033, 16333, 16381, 16417, 16573, 16633, 16657, 16921, 17041, 17053, 17077, 17257, 17293, 17377, 17881, 18013, 18097, 18133, 18181, 18217, 18253, 18301, 18313, 18397, 18481, 18553, 18637, 18793, 19237, 19441, 19477, 19717, 19801, 19813, 19861, 20353, 20533, 20641, 20857, 21001, 21061, 21193, 21277, 21313, 21577, 21661, 21673, 21817, 22093, 22501, 22573, 22621, 22993, 23053, 23173, 23557, 23677, 23773, 23917, 24097, 24421, 24481, 24781, 24841, 25033, 25153, 25237, 25561, 25657, 25933, 26017, 26293, 26317, 26437, 26497, 26821, 26833, 26881, 26953, 27073, 27253, 27337, 27361, 27457, 27997, 28057, 28297, 28393, 28813, 28837, 28921, 29101, 29473, 29641, 30181, 30241, 30517, 30553, 30577, 30637, 30661, 30697, 30781, 30853, 31081, 31237, 31321, 31333, 31357, 31477, 31573, 31873, 31981, 32173, 32377, 32497, 32533, 32833, 33037, 33301, 33457, 33493, 33757, 33961, 34057, 34213, 34273, 34381, 34513, 34897, 34981, 35317, 35521, 35677, 35977, 36097, 36241, 36433, 36457, 36793, 36877, 36901, 36913, 37273, 37321, 37357, 37573, 37717, 37957, 38281, 38461, 38833, 38953, 38977, 39217, 39373, 39397, 39733, 40093, 40177, 40213, 40693, 40813, 41017, 41221, 41281, 41413, 41617, 41893, 42061, 42337, 42373, 42793, 42961, 43117, 43177, 43201, 43321, 43573, 43597, 43633, 43717, 44053, 44101, 44221, 44257, 44293, 44893, 45061, 45337, 45433, 45481, 45553, 45613, 45841, 46021, 46141, 46261, 46861, 46993, 47017, 47161, 47353, 47521, 47533, 47653, 47713, 47737, 47797, 47857, 48121, 48193, 48337, 48673, 48757, 48781, 49033, 49261, 49393, 49417, 49597, 49681, 49957, 50221, 50341, 50377, 50821, 50893, 51157, 51217, 51241, 51481, 51517, 51637, 52057, 52081, 52237, 52321, 52453, 52501, 52813, 52861, 52957, 53077, 53113, 53281, 53401, 53917, 54121, 54133, 54181, 54217, 54421, 54517, 54541, 54673, 54721, 54973, 55057, 55381, 55501, 55633, 55837, 55921, 55933, 56053, 56101, 56113, 56197, 56401, 56437, 56701, 56773, 56821, 56857, 56893, 57073, 57097, 57193, 57241, 57373, 57457, 57853, 58153, 58417, 58441, 58537, 58573, 58693, 59053, 59197, 59221, 59281, 59341, 59833, 60217, 60337, 60373, 60637, 60733, 60937, 61057, 61153, 61261, 61297, 61561, 61657, 61681, 61717, 61861, 62137, 62473, 62497, 62533, 62653, 62773, 63313, 63397, 63541, 63697, 63781, 63913, 64153, 64237, 64381, 64513, 64717, 65173, 65293, 65413, 65437, 65497, 65557, 65677, 65881, 66301, 66361, 66601, 66697, 66853, 66973, 67057, 67153, 67273, 67477, 67537, 67741, 67777, 67933, 67993, 68113, 68281, 68521, 68737, 69001, 69073, 69457, 69493, 69697, 69877, 70117, 70177, 70297, 70501, 70621, 70921, 70981, 71233, 71341, 71353, 71593, 71821, 72073, 72481, 72613, 72901, 72937, 73141, 73417, 73477, 73561, 73693, 74077, 74317, 74377, 74713, 75013, 75133, 75181, 75721, 75793, 75913, 76333, 76561, 76597, 76753, 77137, 77641, 78157, 78193, 78277, 78877, 78901, 79333, 79357, 79537, 79657, 79693, 79801, 79873, 80077, 80173, 80221, 80473, 80701, 80713, 80917, 81013, 81181, 81517, 81637, 81853, 82021, 82153, 82261, 82561, 82981, 83077, 83221, 83233, 83437, 83617, 83701, 83773, 84121, 84313, 84673, 84697, 84793, 84913, 85297, 85333, 85453, 85717, 85933, 86353, 86413, 87181, 87253, 87337, 87421, 87433, 87517, 87553, 87973, 88117, 88177, 88237, 88261, 88513, 88741, 88897, 88993, 89293, 89833, 89917, 90121, 91081, 91381, 91393, 91513, 91957, 92041, 92557, 92761, 92821, 92893, 92941, 93097, 93133, 93493, 93637, 93913, 94033, 94117, 94273, 94321, 94441, 94573, 94777, 94837, 94993, 95257, 95317, 95401, 95581, 95617, 95713, 95737, 96097, 96157, 96181, 96493, 96517, 96973, 97081, 97177, 97501, 97561, 97777, 97813, 98017, 98737, 98953, 99277, 99577, 99661, 99877, pow(10, 6)]
for _ in range(n):
	(l, r) = map(int, input().split())
	print(bisect.bisect_right(A, r) - bisect.bisect_left(A, l))


def isPrime(num):
	if num < 2:
		return False
	elif num == 2:
		return True
	elif num % 2 == 0:
		return False
	for i in range(3, int(num ** 0.5) + 1, 2):
		if num % i == 0:
			return False
	return True

def is_2017(num):
	temp = (num + 1) // 2
	if isPrime(num) and isPrime(temp):
		return True
	else:
		return False

def __starting_point():
	is_2017_list = [0] * (10 ** 5 + 1)
	count = 0
	for i in range(1, 10 ** 5):
		if is_2017(i):
			count += 1
			is_2017_list[i] = count
		else:
			is_2017_list[i] = count
	Q = int(input())
	ans_list = []
	for _ in range(Q):
		(l, r) = list(map(int, input().split()))
		ans = is_2017_list[r] - is_2017_list[l - 1]
		ans_list.append(ans)
	for ans in ans_list:
		print(ans)
__starting_point()


from itertools import accumulate

def primes(n):
	is_prime = [True] * (n + 1)
	is_prime[0] = False
	is_prime[1] = False
	for i in range(2, int(n ** 0.5) + 1):
		if not is_prime[i]:
			continue
		for j in range(i * 2, n + 1, i):
			is_prime[j] = False
	return [i for i in range(n + 1) if is_prime[i]]
like_numbers = [0] * 10 ** 6
for p in primes(10 ** 5):
	like_numbers[p * 2 - 1] += 1
	like_numbers[p] += 1
like_numbers = [1 if i == 2 else 0 for i in like_numbers]
like_numbers = list(accumulate(like_numbers))
Q = int(input())
for _ in range(Q):
	(l, r) = map(int, input().split())
	print(like_numbers[r] - like_numbers[l - 1])


def is_prime(n):
	if n == 1:
		return False
	for i in range(2, int(n ** 0.5) + 1):
		if n % i == 0:
			return False
	return True
s = [0] * 100007
s[2] = 1
t = [0] * 100007
for i in range(1, 100001, 2):
	s[i] += is_prime(i)
for i in range(1, 100001, 2):
	t[i] = (s[i] + s[(i + 1) // 2]) // 2
for i in range(1, 100007):
	t[i] += t[i - 1]
for i in range(int(input())):
	(l, r) = map(int, input().split())
	print(t[r] - t[l - 1])


q = int(input())
import math

def is_prime(n):
	if n == 1:
		return False
	for k in range(2, int(math.sqrt(n)) + 1):
		if n % k == 0:
			return False
	return True
a = [0 for i in range(10 ** 5 + 1)]
for i in range(1, 10 ** 5 + 1, 2):
	if is_prime(i) and is_prime((i + 1) // 2):
		a[i] = a[i - 1] + 1
		a[i + 1] = a[i - 1] + 1
	else:
		a[i] = a[i - 1]
		a[i + 1] = a[i - 1]
for i in range(q):
	(l, r) = map(int, input().split())
	print(a[r] - a[l - 1])


q = int(input())
all = []

def sosu(x):
	flag = True
	r = 2
	while r * r <= x:
		if x % r == 0:
			flag = False
			break
		r += 1
	return flag
for i in range(2, 10 ** 5 + 1):
	if i % 2:
		if sosu(i) == True and sosu((i + 1) // 2) == True:
			all.append(i)
import bisect
for i in range(q):
	(l, r) = map(int, input().split())
	x = bisect.bisect_left(all, l)
	y = bisect.bisect_right(all, r)
	print(y - x)


q = int(input())
l = [list(map(int, input().split())) for i in range(q)]

def jud(i):
	num = int(i ** 0.5) + 1
	for k in range(2, num):
		if i % k == 0:
			return 0
	return 1
s = [0] * (10 ** 5 + 1)
for i in range(2, 10 ** 5 + 1):
	if i % 2 == 0:
		s[i] = s[i - 1]
	elif jud(i) * jud((i + 1) // 2) == 1:
		s[i] = s[i - 1] + 1
	else:
		s[i] = s[i - 1]
for (k, v) in l:
	ans = s[v] - s[k - 1]
	print(ans)


q = int(input())
a = [list(map(int, input().split())) for i in range(q)]
s = [0] * (2 * 10 ** 5 + 2)
s[3] = 1
for i in range(3, 10 ** 5):
	for j in range(2, int((2 * i) ** 0.5) + 2):
		if i > j and i % j == 0 or (2 * i - 1) % j == 0:
			b = 0
			break
	else:
		b = 1
	s[2 * i - 1] = b
S = [0]
for i in range(1, 10 ** 5 + 1):
	c = S[i - 1] + s[i]
	S.append(c)
for i in range(q):
	print(S[a[i][1]] - S[a[i][0] - 1])


import bisect, math
N = 10 ** 5
Q = int(input())
lst1 = [2]
for L in range(3, N, 2):
	f = 0
	for d in range(3, math.floor(math.sqrt(L)) + 1, 2):
		if L % d == 0:
			f = 1
			break
	if f == 0:
		lst1.append(L)
lst1 = set(lst1)
lst2 = [i for i in lst1 if (i + 1) // 2 in lst1]
lst2.sort()
for _ in range(Q):
	(l, r) = map(int, input().split())
	a = bisect.bisect_left(lst2, l)
	b = bisect.bisect_right(lst2, r)
	print(b - a)


ALL = []
cnt = 0
import math

def decide_sosuu(n):
	if n <= 1:
		return False
	else:
		for i in range(2, int(math.sqrt(n)) + 1):
			if n % i == 0:
				return False
	return True
for i in range(1, int(10 ** 5 / 2 + 2)):
	if decide_sosuu(i):
		if decide_sosuu(i * 2 - 1):
			cnt += 1
			ALL.append(cnt)
		else:
			ALL.append(cnt)
	else:
		ALL.append(cnt)
Q = int(input())
for _ in range(Q):
	(l, r) = map(int, input().split())
	if l == 1:
		print(ALL[int(r / 2)])
	else:
		print(ALL[int(r / 2)] - ALL[int(l / 2) - 1])


table = [True for i in range(100000 + 1)]
table[0] = False
table[1] = False
for i in range(2, 100000 + 1):
	for j in range(2, 100000 // i + 1):
		table[i * j] = False
cnt = [0 for _ in range(100000 + 1)]
for i in range(1, 100000 + 1):
	cnt[i] = cnt[i - 1]
	if i % 2 == 1 and table[i] == True and (table[(i + 1) // 2] == True):
		cnt[i] += 1
Q = int(input())
lr = [list(map(int, input().split())) for _ in range(Q)]
for i in range(Q):
	print(cnt[lr[i][1]] - cnt[lr[i][0] - 1])


a = [True] * (10 ** 5 + 1)
for i in range(2, int(10 ** 2.5) + 1):
	if a[i]:
		for j in range(i + i, 10 ** 5 + 1, i):
			a[j] = False
s = [0] * (10 ** 5 + 1)
c = 0
for i in range(3, 10 ** 5 + 1):
	if a[i] and a[(i + 1) // 2]:
		c += 1
	s[i] = c
for i in range(int(input())):
	(l, r) = map(int, input().split())
	print(s[r] - s[l - 1])


import bisect
Q = int(input())
lsQ = []
for i in range(Q):
	(l, r) = map(int, input().split())
	lsQ.append([l, r])

def prime(N):
	lsprime = [0, 0] + [1 for i in range(N - 1)]
	lsprime2 = []
	for i in range(N + 1):
		if lsprime[i] == 0:
			continue
		lsprime2.append(i)
		k = i
		while i <= N:
			lsprime[i] = 0
			i += k
	return lsprime2
primels = prime(10 ** 5)
primeset = set(primels)
lssim = []
for i in primels:
	x = (i + 1) // 2
	if x in primeset:
		lssim.append(i)
for i in range(Q):
	ans = bisect.bisect(lssim, lsQ[i][1]) - bisect.bisect_left(lssim, lsQ[i][0])
	print(ans)


def prime(x):
	for i in range(2, int(x ** 0.5) + 1):
		if x % i == 0:
			return False
	return True
pri = [0] * (100000 + 1)
for j in range(2, 100000 + 1):
	if prime(j):
		pri[j] = 1
c = [0] * (100000 + 1)
for i in range(2, 100000 + 1):
	if pri[i] == 1 and pri[(i + 1) // 2] == 1:
		c[i] = c[i - 1] + 1
	else:
		c[i] = c[i - 1]
q = int(input())
for _ in range(q):
	(l, r) = map(int, input().split())
	print(c[r] - c[l - 1])


import math
Q = int(input())
MAX = 10 ** 5
lim = int(math.sqrt(MAX))
primes = [2]
table = [i + 1 for i in range(2, MAX, 2)]
while lim > table[0]:
	primes.append(table[0])
	table = [j for j in table if j % table[0] != 0]
primes = set(primes + table)
ans = [0] * (MAX + 1)
for i in range(3, MAX + 1, 2):
	if i in primes and (i + 1) // 2 in primes:
		ans[i] = 1
for i in range(1, MAX + 1):
	ans[i] = ans[i] + ans[i - 1]
for _ in range(Q):
	(l, r) = map(int, input().split())
	print(ans[r] - ans[l - 1])


from itertools import accumulate as ac
m = 101000
num = [1] * m
num[0] = num[1] = 0
for i in range(2, int(m ** 0.5) + 1):
	if not num[i]:
		continue
	for j in range(i * 2, m, i):
		num[j] = 0
a = [0] * m
for i in range(m):
	if i % 2 == 0:
		continue
	if num[i] and num[(i + 1) // 2]:
		a[i] = 1
csum = [0] + a
csum = list(ac(csum))
q = int(input())
for i in range(q):
	(l, r) = map(int, input().split())
	print(csum[r + 1] - csum[l])


Q = int(input())
lr = [list(map(int, input().split())) for _ in range(Q)]
n = 10 ** 5 + 1
prime = [True] * n
prime[0] = prime[1] = False
for i in range(2, int(n ** 0.5) + 1):
	if prime[i]:
		for j in range(i * 2, n, i):
			prime[j] = False
counter = 0
work = [0] * n
for i in range(2, n):
	if prime[i] and prime[(i + 1) // 2]:
		counter += 1
	work[i] = counter
for (l, r) in lr:
	print(work[r] - work[l - 1])


Q = int(input())
N = 10 ** 5 + 2
prime = [1] * N
prime[0] = 0
prime[1] = 0
for i in range(N):
	if not prime[i]:
		continue
	for j in range(i * 2, N, i):
		prime[j] = 0
like = [0] * N
for i in range(1, N, 2):
	if prime[i] and prime[(i + 1) // 2]:
		like[i] = 1
a = [0]
for i in range(1, N):
	a.append(a[-1] + like[i])
for i in range(Q):
	(l, r) = map(int, input().split())
	print(a[r] - a[l - 1])


def f():
	dp = [1] * (10 ** 5 + 1)
	(dp[0], dp[1]) = (0, 0)
	for i in range(2, 10 ** 5 + 1):
		if dp[i] == 0:
			continue
		j = i
		while j + i <= 10 ** 5:
			j += i
			if dp[j] == 1:
				dp[j] = 0
	ni = [0] * (10 ** 5 + 1)
	for i in range(2, 10 ** 5 + 1):
		if dp[i] == 1 and dp[(i + 1) // 2] == 1:
			ni[i] = 1
	ru = [0] * (10 ** 5 + 1)
	for i in range(1, 10 ** 5 + 1):
		ru[i] = ru[i - 1] + ni[i]
	q = int(input())
	for i in range(q):
		(l, r) = map(int, input().split())
		print(ru[r] - ru[l - 1])

def __starting_point():
	f()
__starting_point()


Ps = set()
M = [False] * 100001
p = 2
while p <= 100000:
	if not M[p]:
		Ps.add(p)
		for i in range(p, 100000, p):
			M[i] = True
	p += 1
r = 0
Ss = [0] * 100001
for i in range(100000):
	if i % 2 == 1 and i in Ps and ((i + 1) // 2 in Ps):
		r += 1
	Ss[i] = r
Q = int(input())
for i in range(Q):
	(l, r) = map(int, input().split())
	re = Ss[r] - Ss[l - 1]
	print(re)


N = 100010
p = [True for i in range(N)]
p[0] = p[1] = False
for i in range(2, N):
	if p[i]:
		for j in range(2 * i, N, i):
			p[j] = False
s = [0 for i in range(N)]
for i in range(1, N, 2):
	if p[i] and p[(i + 1) // 2]:
		s[i] = 1
for i in range(N - 1):
	s[i + 1] += s[i]
Q = int(input())
for _ in range(Q):
	(l, r) = map(int, input().split())
	print(s[r] - s[l - 1])


INF = 10 ** 5 + 1
ac = [0 for i in range(INF)]
memo = [True for i in range(INF)]
for i in range(2, INF):
	if memo[i]:
		for j in range(2 * i, INF, i):
			memo[j] = False
for x in range(3, INF, 2):
	ac[x] = 1 if memo[x] and memo[(x + 1) // 2] else 0
for x in range(1, INF):
	ac[x] += ac[x - 1]
Q = int(input())
for i in range(Q):
	(l, r) = map(int, input().split())
	print(ac[r] - ac[l - 1])


Q = int(input())
l_r = [[int(_) for _ in input().split()] for _ in range(Q)]
prime = [False] * (10 ** 5 + 1)
Csum = [0] * (10 ** 5 + 1)
for i in range(2, 10 ** 5 + 1):
	if not prime[i]:
		for j in range(i * 2, 10 ** 5 + 1, i):
			prime[j] = True
cnt = 0
for i in range(3, 10 ** 5 + 1, 2):
	if not prime[i] and (not prime[(i + 1) // 2]):
		cnt += 1
	Csum[i] = cnt
for i in l_r:
	print(Csum[i[1]] - Csum[i[0] - 2])


prime = [True] * 100001
cnt_list = [0] * 100002
for i in range(2, 100001):
	if prime[i]:
		for j in range(i + i, 100001, i):
			prime[j] = False
for i in range(3, 100001, 2):
	if prime[i] and prime[(i + 1) // 2]:
		cnt_list[i] += 1
for i in range(3, 100001):
	cnt_list[i] += cnt_list[i - 1]
N = int(input())
for i in range(N):
	(L, R) = map(int, input().split())
	print(cnt_list[R] - cnt_list[L - 1])


N = 100000
X = [-1] * (N + 1)
k = 2
while k <= N:
	X[k] = 1
	for i in range(k * 2, N + 1, k):
		X[i] = 0
	while k <= N and X[k] >= 0:
		k += 1
P = [i for i in range(N + 1) if X[i] == 1]
Y = [0] * (N + 1)
for i in range(3, N + 1):
	if X[i] and X[(i + 1) // 2]:
		Y[i] = Y[i - 1] + 1
	else:
		Y[i] = Y[i - 1]
Q = int(input())
for _ in range(Q):
	(l, r) = map(int, input().split())
	print(Y[r] - Y[l - 1])


from math import sqrt
import bisect

def is_prime(num):
	if num < 2:
		return False
	elif num == 2:
		return True
	elif num % 2 == 0:
		return False
	sqrtNum = sqrt(num)
	for i in range(3, int(sqrtNum) + 1, 2):
		if num % i == 0:
			return False
	return True

def solve(query):
	ans = []
	al = []
	for i in range(3, 10 ** 5 + 1, 2):
		if is_prime(i) and is_prime((i + 1) // 2):
			al.append(i)
	for q in query:
		if is_prime(q[0]) and is_prime((q[0] + 1) // 2):
			l_ind = bisect.bisect_right(al, q[0]) - 1
		else:
			l_ind = bisect.bisect_right(al, q[0])
		if is_prime(q[1]) and is_prime((q[1] + 1) // 2):
			r_ind = bisect.bisect_left(al, q[1])
		else:
			r_ind = bisect.bisect_left(al, q[1]) - 1
		ans.append(r_ind - l_ind + 1)
	return ans

def __starting_point():
	Q = int(input())
	query = [list(map(int, input().split())) for _ in range(Q)]
	ans = solve(query)
	for a in ans:
		print(a)
__starting_point()


u = 100000
f = [False] * (u + 1)
for i in range(2, u + 1):
	if not f[i]:
		for j in range(i + i, u + 1, i):
			f[j] = True
c = [0] * (u + 2)
for i in range(3, u + 1, 2):
	if not f[i] and (not f[int((i + 1) / 2)]):
		c[i] += 1
for i in range(3, u + 1):
	c[i] += c[i - 1]
q = int(input())
for i in range(q):
	(s, e) = map(int, input().split())
	print(c[e] - c[s - 1])


import math
import bisect

def get_prime(number):
	prime_list = []
	search_list = list(range(2, number + 1))
	while search_list[0] <= math.sqrt(number):
		head_num = search_list.pop(0)
		prime_list.append(head_num)
		search_list = [num for num in search_list if num % head_num != 0]
	prime_list.extend(search_list)
	return prime_list
l = get_prime(100000)
l2 = []
for i in range(len(l)):
	x = l[i]
	y = (x + 1) // 2
	if y in l:
		l2.append(x)
Q = int(input())
for i in range(Q):
	(a, b) = list(map(int, input().split()))
	x = bisect.bisect_left(l2, a)
	y = bisect.bisect_right(l2, b)
	print(y - x)


MAX = 100001
array = [True for i in range(MAX)]
array[1] = False
similar = [True for i in range(MAX)]
for i in range(2, MAX):
	if array[i]:
		for j in range(2, int(MAX / i) + 1):
			if j * i < MAX:
				array[i * j] = False
c = [0 for i in range(MAX)]
count = 0
for i in range(2, MAX):
	if array[i] and array[int((i + 1) / 2)]:
		count += 1
	c[i] = count
Q = int(input())
for i in range(Q):
	(l, r) = map(int, input().split())
	print(c[r] - c[l - 1])


n = 100000
p = [0] * 2 + [1] * (n - 1)
for i in range(2, n + 1):
	if p[i]:
		for j in range(i * 2, n + 1, i):
			p[j] = 0
for i in range(1, n + 1)[::-1]:
	if p[i]:
		if p[(i + 1) // 2]:
			continue
		p[i] = 0
p[2] = 0
c = [0] * (n + 1)
for i in range(1, n + 1):
	c[i] = c[i - 1] + p[i]
q = int(input())
for i in range(q):
	(l, r) = map(int, input().split())
	print(c[r] - c[l - 1])


q = int(input())
a = [[int(i) for i in input().split()] for i in range(q)]
prime = [True] * 100000
(prime[0], prime[1]) = (False, False)
for i in range(2, 317):
	if not prime[i]:
		continue
	for j in range(i * 2, 100000, i):
		prime[j] = False
y = [0]
for i in range(3, 10 ** 5, 2):
	if prime[i] and prime[(i + 1) // 2]:
		y.append(y[-1] + 1)
	else:
		y.append(y[-1])
for i in a:
	print(y[(i[1] - 1) // 2] - y[max((i[0] - 3) // 2, 0)])


import numpy as np

def eratosthenes(m):
	if m < 2:
		return []
	dp = [True] * (m + 1)
	sosu = [2]
	like = [0] * (m + 1)
	like[3] = 1
	for x in range(3, m + 1, 2):
		if dp[x]:
			sosu.append(x)
			if dp[(x + 1) // 2] == True and (x + 1) // 2 % 2 == 1:
				like[x] += 1
		for j in range(2 * x, m + 1, x):
			dp[j] = False
	return like
like = eratosthenes(10 ** 5 + 1)
c = np.array(like).cumsum()
q = int(input())
for i in range(q):
	(l, r) = map(int, input().split())
	ans = c[r] - c[l - 1]
	print(ans)


import bisect
n = 10 ** 5
primes = set(range(2, n + 1))
for i in range(2, int(n ** 0.5 + 1)):
	primes.difference_update(range(i * 2, n + 1, i))
primes = [i for i in primes if (i + 1) // 2 in primes]
q = int(input())
for i in range(q):
	(a, b) = map(int, input().split())
	print(bisect.bisect_right(primes, b) - bisect.bisect_left(primes, a))


Q = int(input())
lr = list(list((map(int, input().split()) for i in range(Q))))
pn = [0, 0] + [1] * (10 ** 5 - 2)
O = 0
for i in range(2, 317):
	for j in range(i * 2, 10 ** 5, i):
		pn[j] = 0
p = pn.copy()
for i in range(7, 10 ** 5):
	if p[i] == 1:
		if pn[int((i + 1) / 2)] == 0:
			p[i] = 0
tmp = 0
p[2] = 0
for i in range(10 ** 5):
	p[i] = tmp + p[i]
	tmp = p[i]
for (l, r) in lr:
	print(p[r] - p[l - 1])


listS = [1] * 100005
listS[0] = 0
listS[1] = 0
for i in range(2, 100003):
	if listS[i] == 1:
		for j in range(2 * i, 100000, i):
			listS[j] = 0
list2017 = [0]
for k in range(1, 100001):
	if listS[k] == 1 and listS[int((k + 1) / 2)] == 1:
		list2017.append(list2017[k - 1] + 1)
	else:
		list2017.append(list2017[k - 1])
N = int(input())
for x in range(N):
	(l, m) = map(int, input().split())
	print(list2017[m] - list2017[l - 1])


from collections import Counter, defaultdict, deque
from heapq import heappop, heappush, heapify
import sys, bisect, math, itertools, fractions
sys.setrecursionlimit(10 ** 8)
mod = 10 ** 9 + 7
INF = float('inf')

def inp():
	return int(sys.stdin.readline())

def inpl():
	return list(map(int, sys.stdin.readline().split()))

def is_prime(n):
	if n == 1:
		return False
	for k in range(2, int(math.sqrt(n)) + 1):
		if n % k == 0:
			return False
	return True
a = [0] * 100100
for i in range(1, 100010):
	tmp = 0
	if is_prime(i) and is_prime((i + 1) // 2):
		tmp = 1
	a[i] = a[i - 1] + tmp
q = inp()
for _ in range(q):
	(l, r) = inpl()
	print(a[r] - a[l - 1])


import bisect
nums = [0, 0] + [1 for i in range(10 ** 5 - 2)]
x = []
for i in range(2, 10 ** 5):
	if nums[i]:
		for l in range(i * 2, 10 ** 5, i):
			nums[l] = 0
		if nums[(i + 1) // 2]:
			x.append(i)
Q = int(input())
for i in range(Q):
	(l, r) = list(map(int, input().split()))
	l_ = bisect.bisect_left(x, l)
	r_ = bisect.bisect_right(x, r)
	print(r_ - l_)


Q = int(input())
prime = [0] + [1] * 10 ** 5
prime[1] = 0
c = [0]
for i in range(1, 10 ** 5 + 1):
	if prime[i]:
		c.append(c[-1] + prime[(i + 1) // 2])
		if i <= 10 ** 2.5:
			for j in range(2, 10 ** 5 // i + 1):
				prime[j * i] = 0
	else:
		c.append(c[-1])
for i in range(Q):
	(l, r) = map(int, input().split())
	print(c[r] - c[l - 1])


import numpy as np
max_num = 10 ** 5
prime_flag_l = np.ones(max_num + 1)
prime_flag_l[0] = 0
prime_flag_l[1] = 0
for i in range(1, int(np.sqrt(max_num))):
	if not prime_flag_l[i]:
		continue
	for j in range(i * 2, max_num + 1, i):
		prime_flag_l[j] = 0
like_2017_flag_l = np.zeros(max_num + 1)
for i in range(max_num + 1):
	if i % 2 == 0:
		continue
	if prime_flag_l[i] and prime_flag_l[int((i + 1) / 2)]:
		like_2017_flag_l[i] = 1
s_l = np.zeros(max_num + 1)
for i in range(max_num):
	s_l[i + 1] = s_l[i] + like_2017_flag_l[i]
Q = int(input())
for _ in range(Q):
	(l, r) = list(map(int, input().split()))
	print(int(s_l[r + 1] - s_l[l]))


import math
import sys
sys.setrecursionlimit(10 ** 6)
q = int(input())

def is_prime(n):
	if n <= 1:
		return False
	for k in range(2, int(math.sqrt(n)) + 1):
		if n % k == 0:
			return False
	return True
a = []
b = []
c = []
for i in range(0, 10 ** 5 + 5):
	a_tmp = is_prime(i)
	if i % 2 == 0:
		b_tmp = False
	else:
		b_tmp = is_prime((i + 1) // 2)
	a.append(a_tmp)
	b.append(b_tmp)
	c.append(a_tmp * b_tmp)
c_sum = [0]
for i in range(1, len(c)):
	c_sum.append(c[i] + c_sum[-1])
for i in range(q):
	(l, r) = list(map(int, input().split()))
	print(c_sum[r] - c_sum[l - 1])


NUM = 10 ** 5
prime = [True] * (NUM + 1)
for i in range(2, int(NUM ** 0.5) + 1):
	if not prime[i]:
		continue
	j = i * 2
	while j <= NUM:
		prime[j] = False
		j += i
S = [0] * (NUM + 1)
for i in range(3, NUM + 1, 2):
	if prime[(i + 1) // 2] and prime[i]:
		S[i] = S[i - 2] + 1
	else:
		S[i] = S[i - 2]
Q = int(input())
for _ in range(Q):
	(l, r) = map(int, input().split())
	print(S[r] - S[l - 2])


from itertools import accumulate
Q = int(input())
n = 10 ** 5
L = [0] * 2 + [1] * (n - 1)
for i in range(int(n ** 0.5) + 1):
	if L[i] == 1:
		j = 2
		while i * j <= n:
			L[i * j] = 0
			j += 1
T = [0] * (n + 1)
for i in range(3, n):
	if L[i] == 1 and L[(i + 1) // 2] == 1:
		T[i] = 1
s = list(accumulate(T))
for i in range(Q):
	(l, r) = map(int, input().split())
	print(s[r] - s[l - 1])


def eratosthenes(n):
	is_p = [1] * n
	p_list = []
	is_p[0] = 0
	is_p[1] = 0
	for i in range(2, n):
		if is_p[i]:
			p_list.append(i)
			for j in range(i * i, n, i):
				is_p[j] = 0
	return (is_p, p_list)
lim = 10 ** 5 + 1
(is_p, p_list) = eratosthenes(lim)
q = int(input())
b = [0]
for i in range(1, lim + 1):
	if is_p[i - 1] and is_p[i // 2]:
		b.append(b[i - 1] + 1)
	else:
		b.append(b[i - 1])
for i in range(q):
	(l, r) = map(int, input().split())
	print(b[r + 1] - b[l])


def isPrime(x):
	ans = True
	for i in range(2, int(x ** 0.5) + 1):
		if x % i == 0:
			ans = False
			break
	return ans
q = int(input())
queries = []
rMax = 1
for i in range(q):
	(l, r) = list(map(int, input().split()))
	queries.append((l, r))
	rMax = max(rMax, r)
cnt = [0] * (rMax + 1)
for i in range(2, (rMax + 1) // 2 + 1):
	cnt[2 * i - 2] = cnt[2 * i - 3]
	if isPrime(i) and isPrime(2 * i - 1):
		cnt[2 * i - 1] = cnt[2 * i - 2] + 1
	else:
		cnt[2 * i - 1] = cnt[2 * i - 2]
for (l, r) in queries:
	print(cnt[r] - cnt[l - 1])


from itertools import accumulate
q = int(input())
lr = [list(map(int, input().split())) for i in range(q)]
p = [2]
pc = [0] * 100001
pc[2] = 1
ans = [0] * 100001
for i in range(3, 100001):
	for j in p:
		if i % j == 0:
			break
		if j * j > i:
			p.append(i)
			pc[i] = 1
			if pc[i // 2 + 1] == 1:
				ans[i] = 1
			break
ans = list(accumulate(ans))
for (l, r) in lr:
	print(ans[r] - ans[l - 1])


def prime(n):
	if n == 1:
		return False
	elif n == 2 or n == 3:
		return True
	else:
		for i in range(2, int(n ** 0.5) + 1):
			if n % i == 0:
				return False
		else:
			return True
ans = [0] * (10 ** 5 + 1)
for i in range(3, 10 ** 5 + 1, 2):
	if prime(i) and prime((i + 1) // 2):
		ans[i] = 1
for i in range(1, 10 ** 5 + 1):
	ans[i] = ans[i] + ans[i - 1]
q = int(input())
for i in range(q):
	(l, r) = map(int, input().split())
	print(ans[r] - ans[l - 1])


def is_prime(n):
	if n == 1:
		return False
	for i in range(2, int(n ** 0.5) + 1):
		if n % i == 0:
			return False
	return True
c = [0]
ci = 0
for i in range(1, 10 ** 5 + 1):
	if is_prime(i) and is_prime((i + 1) // 2):
		ci += 1
	c.append(ci)
q = int(input())
lr = [list(map(int, input().split())) for _ in range(q)]
for lri in lr:
	print(c[lri[1]] - c[lri[0] - 1])


import sys
input = sys.stdin.readline

def premf(n):
	IsPrime = [False] + [False] + [True] * (n - 1)
	res = []
	for j in range(4, n + 1, 2):
		IsPrime[j] = False
	for i in range(1, n + 1, 2):
		if IsPrime[i]:
			for j in range(i * 2, n + 1, i):
				IsPrime[j] = False
			if IsPrime[(i + 1) // 2]:
				res.append(i)
	return res
q = int(input())
n = 10 ** 5
res = premf(n)
a = [0] * (10 ** 5 + 1)
t = 0
for i in range(len(res)):
	t += 1
	a[res[i]] = t
for i in range(10 ** 5):
	if a[i + 1] == 0:
		a[i + 1] = a[i]
for i in range(q):
	(l, r) = map(int, input().split())
	print(a[r] - a[l - 1])


d = [0]
ans = 0

def prime(n):
	if n == 1:
		return False
	i = 2
	while i * i <= n:
		if n % i == 0:
			return False
		else:
			i += 1
	return True
for i in range(10 ** 5 // 2):
	if prime(2 * i + 1) and prime(i + 1):
		ans += 1
	d.append(ans)
Q = int(input())
for _ in range(Q):
	(l, r) = map(int, input().split())
	print(d[r // 2 + 1] - d[l // 2 + 1 - 1])


import sys
input = sys.stdin.readline
n = 10 ** 5
memo = [1] * (n + 1)
for i in range(2, n):
	for j in range(2, n):
		if i * j > n:
			break
		memo[i * j] = 0
memo2 = memo[:]
memo2[1] = 0
for x in range(n + 1):
	if x % 2 == 0 or memo[(x + 1) // 2] == 0:
		memo2[x] = 0
c = [0]
for x in memo2[1:]:
	c.append(c[-1] + x)
q = int(input())
for i in range(q):
	(l, r) = map(int, input().split())
	print(c[r] - c[l - 1])


flag = [False] * 100001
c = [0] * 100002
n = int(input())
for i in range(2, 100000):
	if not flag[i]:
		for j in range(i + i, 100000, i):
			flag[j] = True
for i in range(3, 100000, 2):
	if not flag[i] and (not flag[(i + 1) // 2]):
		c[i] += 1
for i in range(3, 100000):
	c[i] += c[i - 1]
while n:
	n -= 1
	(l, r) = map(int, input().split())
	print(c[r] - c[l - 1])


def cal_primes(N):
	candidate = [*range(2, N + 1)]
	primes = []
	while candidate[0] ** 2 <= N:
		primes.append(candidate[0])
		candidate = [*filter(lambda x: x % candidate[0] != 0, candidate)]
	primes.extend(candidate)
	return primes
Q = int(input())
primes = set(cal_primes(10 ** 5))
res = [0] * (10 ** 5 + 1)
for i in range(1, 10 ** 5 + 1):
	if i % 2 == 1 and i in primes and ((i + 1) // 2 in primes):
		res[i] = res[i - 1] + 1
	else:
		res[i] = res[i - 1]
for i in range(Q):
	(l, r) = map(int, input().split())
	print(res[r] - res[l - 1])


Q = int(input())
is_prime = {i: True for i in range(10 ** 5 + 1)}
(is_prime[0], is_prime[1]) = (False, False)
for i in range(2, 10 ** 5 + 1):
	if is_prime[i]:
		for j in range(i * 2, 10 ** 5 + 1, i):
			is_prime[j] = False
s = [0] * (10 ** 5 + 1)
for i in range(1, 10 ** 5):
	s[i + 1] = s[i] + int(is_prime[i] and is_prime[(i + 1) // 2])
for _ in range(Q):
	(left, right) = map(int, input().split())
	print(s[right + 1] - s[left])


import math
q = int(input())
lr = [list(map(int, input().split())) for _ in range(q)]
n = 10 ** 5
is_prime = [True] * (n + 1)
is_prime[0] = is_prime[1] = False
for i in range(2, int(math.sqrt(n)) + 1):
	if is_prime[i]:
		for j in range(2 * i, n + 1, i):
			is_prime[j] = False
L = [0, 0]
c = 0
for i in range(2, n + 1):
	if is_prime[i] and is_prime[(i + 1) // 2]:
		c += 1
	L.append(c)
for (l, r) in lr:
	print(L[r] - L[l - 1])


def isp(n):
	for i in range(2, int(n ** (1 / 2)) + 1):
		if n % i == 0:
			return False
	return True
A = [0 for i in range(50000)]
for i in range(1, 50000):
	A[i] = A[i - 1]
	if isp(i + 1) and isp(2 * i + 1):
		A[i] += 1
Q = int(input())
for i in range(Q):
	(r, l) = map(int, input().split())
	print(A[l // 2] - A[max(0, r // 2 - 1)])


MAXN = 10 ** 5 + 1
f = [False] * MAXN
for i in range(2, MAXN):
	if not f[i]:
		for j in range(i + i, MAXN, i):
			f[j] = True
c = [0] * MAXN
for i in range(3, MAXN):
	if not f[i] and (not f[(i + 1) // 2]):
		c[i] += 1
	c[i] += c[i - 1]
Q = int(input())
for _ in range(Q):
	(L, R) = map(int, input().split())
	print(c[R] - c[L - 1])


def prime_table(N):
	P = [False] * 2 + [True] * (N - 1)
	for i in range(2, int(N ** 0.5) + 1):
		if P[i]:
			P[2 * i::i] = [False] * (N // i - 1)
	return P
P = prime_table(100000)
PP = [0] * 100000
for i in range(1, 100000):
	PP[i] = PP[i - 1] + (P[i] & P[(i + 1) // 2])
PP[2] = False
for _ in range(int(input())):
	(l, r) = map(int, input().split())
	print(PP[r] - PP[l - 1])


import numpy as np
MAX = int(1000000.0 + 1)
List = list(range(2, MAX))
P = []
while len(List) > 0:
	p = List[0]
	if p >= np.sqrt(MAX):
		break
	P.append(p)
	List = [x for x in List if x % p != 0]
P = set(P + List)
Ans = [0] * MAX
cnt = 0
for i in range(1, MAX):
	if i in P and (i + 1) // 2 in P:
		cnt += 1
	Ans[i] = cnt
q = int(input())
for i in range(q):
	(l, r) = map(int, input().split())
	print(Ans[r] - Ans[l - 1])


import math
q = int(input())
N = [0] * (10 ** 5 + 1)
N[3] = 1
N[2] = 1
S = []
for i in range(5, 10 ** 5 + 1, 2):
	flag = True
	for j in range(3, int(math.sqrt(i)) + 1, 2):
		if i % j == 0:
			flag = False
			break
	if flag:
		N[i] = 1
X = [0] * (10 ** 5 + 1)
X[2] = 1
cnt = 0
for i in range(3, 10 ** 5 + 1, 2):
	if N[i] == 1 and N[(i + 1) // 2] == 1:
		cnt += 1
	X[i] = cnt
Q = []
for i in range(q):
	(l, r) = map(int, input().split())
	print(X[r] - X[l - 2])


import math
N = 10 ** 5
Q = int(input())
primes = set()
visited = set()
for i in range(2, N + 1):
	if i in visited:
		continue
	primes.add(i)
	j = i
	while j <= N:
		visited.add(j)
		j += i
C = [0 for _ in range(N + 1)]
ct = 0
for x in range(3, N + 1, 2):
	if x in primes and (x + 1) // 2 in primes:
		ct += 1
	C[x] = ct
for _ in range(Q):
	(l, r) = map(int, input().split())
	print(C[r] - C[l - 2])


n = 100010
a = [0] * n
isprime = [1] * n
isprime[0] = isprime[1] = 0
for i in range(2, n):
	if isprime[i]:
		for j in range(i * i, n, i):
			isprime[j] = 0
for i in range(3, n, 2):
	if isprime[i] and isprime[(i + 1) // 2]:
		a[i] = 1
for i in range(1, n - 1):
	a[i + 1] += a[i]
q = int(input())
for _ in range(q):
	(l, r) = map(int, input().split())
	print(a[r] - a[l - 1])


q = int(input())
ls = [True] * (10 ** 5 + 1)
(ls[0], ls[1]) = (False, False)
for i in range(2, 10 ** 5 + 1):
	if ls[i]:
		for j in range(i * 2, 10 ** 5 + 1, i):
			ls[j] = False
ps = [0] * (10 ** 5 + 1)
for i in range(10 ** 5):
	ps[i + 1] = ps[i]
	if ls[i + 1] == True and ls[(i + 2) // 2] == True and ((i + 1) % 2 == 1):
		ps[i + 1] += 1
for _ in range(q):
	(l, r) = list(map(int, input().split()))
	print(ps[r] - ps[l - 1])


prime = [0] * 100001
prime[0] = 1
prime[1] = 1
prime_ans = [0] * 100001
for i in range(0, 100001):
	if prime[i] == 0:
		cnt = 2
		while cnt * i < 100001:
			prime[cnt * i] = 1
			cnt += 1
ans = 0
for i in range(3, 100001):
	if prime[i] == 0 and prime[int((i + 1) / 2)] == 0:
		ans += 1
	prime_ans[i] = ans
Q = int(input())
for i in range(Q):
	(l, r) = map(int, input().split())
	res = prime_ans[r] - prime_ans[l - 1]
	print(res)


f = [False for i in range(100001)]
c = [0 for i in range(100001)]
for i in range(2, 100001):
	if not f[i]:
		for j in range(2 * i, 100001, i):
			f[j] = True
for i in range(3, 100001, 2):
	if not f[i] and (not f[int((i + 1) / 2)]):
		c[i] += 1
for i in range(3, 100001):
	c[i] += c[i - 1]
n = int(input())
while n:
	(l, r) = list(map(int, input().split()))
	print(c[r] - c[l - 1])
	n -= 1


Q = int(input())
lim = 10 ** 5 + 10
p = [True] * lim
p[0] = False
p[1] = False
for i in range(2, int(lim ** 0.5) + 1):
	for j in range(i * 2, 10 ** 5 + 1, i):
		p[j] = False
y = [0] * lim
for i in range(3, lim, 2):
	y[i] = y[i - 2]
	if p[i] and p[(i + 1) // 2]:
		y[i] += 1
	y[i - 1] = y[i - 2]
for _ in range(Q):
	(l, r) = map(int, input().split())
	print(y[r] - y[l - 1])


from itertools import accumulate
Q = int(input())
N = 10 ** 5 + 2
prime = [1] * N
prime[0] = 0
prime[1] = 0
for i in range(N):
	if not prime[i]:
		continue
	for j in range(i * 2, N, i):
		prime[j] = 0
like = [0] * N
for i in range(1, N, 2):
	if prime[i] and prime[(i + 1) // 2]:
		like[i] = 1
a = list(accumulate(like))
for i in range(Q):
	(l, r) = map(int, input().split())
	print(a[r] - a[l - 1])


def sieve(x):
	p = []
	b = [1] * x
	for i in range(2, x):
		if b[i]:
			p += [i]
			for j in range(2 * i, x, i):
				b[j] = 0
	return p
p = sieve(10 ** 5 + 1)
s = set((i for i in p if i < 50000.0))
l = [0] * 10 ** 5
for i in p[1:]:
	if i // 2 + 1 in s:
		l[i] = 1
from itertools import *
S = [*accumulate(l)]
q = int(input())
for _ in range(q):
	(l, r) = map(int, input().split())
	print(S[r] - S[l - 1])


q = int(input())
el = [True for _ in range(10 ** 5 + 1)]
el[0] = False
el[1] = False
temp = [0] * (10 ** 5 + 1)
i = 2
while i * i <= 10 ** 5 + 1:
	for j in range(2 * i, 10 ** 5 + 1, i):
		el[j] = False
	i += 1
cnt = 0
for (i, val) in enumerate(el):
	if val and el[(i + 1) // 2]:
		cnt += 1
	temp[i] = cnt
for i in range(q):
	(l, r) = map(int, input().split())
	print(temp[r] - temp[l - 1])


Q = int(input())
lr = [list(map(int, input().split())) for _ in range(Q)]
N = 10 ** 5
A = [1] * (N + 1)
A[0] = A[1] = 0
i = 2
while i * 2 <= N:
	if A[i]:
		j = 2
		while i * j <= N:
			A[i * j] = 0
			j += 1
	i += 1
S = [0] * (N + 1)
for i in range(N + 1):
	if A[i] and A[(i + 1) // 2]:
		S[i] = 1
	S[i] += S[i - 1]
for (l, r) in lr:
	print(S[r] - S[l - 1])


import math

def is_prime(n):
	if n == 1:
		return False
	for k in range(2, int(math.sqrt(n)) + 1):
		if n % k == 0:
			return False
	return True
q = int(input())
l = []
r = []
for i in range(q):
	(ll, rr) = list(map(int, input().split()))
	l.append(ll)
	r.append(rr)
dp = [0 for _ in range(10 ** 5 + 5)]
dpsum = [0 for _ in range(10 ** 5 + 5)]
for i in range(3, 10 ** 5 + 1, 2):
	if is_prime(i) and is_prime((i + 1) // 2):
		dpsum[i] = dpsum[i - 2] + 1
	else:
		dpsum[i] = dpsum[i - 2]
for i in range(q):
	print(dpsum[r[i]] - dpsum[l[i] - 2])


q = int(input())
l = []
r = []

def primecheck(n):
	if n == 1:
		return False
	else:
		i = 2
		ok = True
		while i * i <= n:
			if n % i == 0:
				ok = False
				return ok
			i += 1
		if ok:
			return True
mx = 0
for i in range(q):
	(L, R) = list(map(int, input().split()))
	l.append(L)
	r.append(R)
	mx = max(mx, R)
memo = [0] * (mx + 1)
for i in range(1, mx + 1):
	if primecheck(i) and primecheck((i + 1) // 2):
		memo[i] = memo[i - 1] + 1
	else:
		memo[i] = memo[i - 1]
for i in range(q):
	print(memo[r[i]] - memo[l[i] - 1])


import sys

def like2017(N):
	D = [True] * (N + 1)
	L = [0] * (N + 1)
	D[0] = False
	D[1] = False
	for n in range(2, N + 1):
		if not D[n]:
			continue
		for k in range(2, N // n + 1):
			D[k * n] = False
	cnt = 0
	for n in range(1, N + 1):
		if D[n] and D[(n + 1) // 2] and (n % 2 == 1):
			cnt += 1
		L[n] = cnt
	return L

def main():
	Q = int(sys.stdin.readline().rstrip())
	L = like2017(10 ** 5)
	for _ in range(Q):
		(l, r) = list(map(int, sys.stdin.readline().rstrip().split()))
		print(L[r] - L[l - 1])
main()


def primenum(N, a):
	b = [1] * N
	d = [0] * N
	b[0] = 0
	b[1] = 0
	i = 2
	while i * i < N:
		k = 2
		while i * k < N:
			b[i * k] = 0
			k += 1
		for j in range(i + 1, N):
			if b[j] == 1:
				break
		i = j
	c = [0]
	for i in range(3, N):
		if b[i] == 1 and b[(i + 1) // 2] == 1:
			d[i] = 1
	for i in range(1, N):
		c.append(c[i - 1] + d[i - 1])
	return c
Q = int(input())
l = [0] * Q
r = [0] * Q
for i in range(0, Q):
	(l[i], r[i]) = map(int, input().split())
c = []
c = primenum(110000, c)
for g in range(0, Q):
	print(c[r[g] + 1] - c[l[g]])


import math
from itertools import accumulate
Q = int(input())
lr = [list(map(int, input().split())) for _ in range(Q)]
MAX = 10 ** 5
lim = int(math.sqrt(MAX))
primes = [2]
table = [i + 1 for i in range(2, MAX, 2)]
while lim > table[0]:
	primes.append(table[0])
	table = [j for j in table if j % table[0] != 0]
primes = set(primes + table)
similars = [0] * MAX
for i in range(2, MAX):
	if i in primes and (i + 1) // 2 in primes:
		similars[i] = 1
similars = list(accumulate(similars))
for i in lr:
	(l, r) = i
	print(similars[r] - similars[l - 1])


import math

def is_prime(n):
	if n == 1:
		return False
	for k in range(2, int(math.sqrt(n)) + 1):
		if n % k == 0:
			return False
	return True
Q = int(input())
s = [0] * (10 ** 5 + 1)
for i in range(1, 10 ** 5):
	s[i + 1] = s[i] + int(is_prime(i) and is_prime((i + 1) // 2))
for _ in range(Q):
	(left, right) = map(int, input().split())
	print(s[right + 1] - s[left])


import sys
input = sys.stdin.readline

def isprime(x):
	if x <= 1:
		return False
	for i in range(2, int(x ** 0.5) + 1):
		if x % i == 0:
			return False
	return True
A = [0] * 10 ** 5
B = [0] * 10 ** 5
con = 0
for i in range(10 ** 5):
	if isprime(i):
		A[i] = 1
	if A[i] and A[(i + 1) // 2]:
		con += 1
	B[i] = con
Q = int(input())
for _ in range(Q):
	(l, r) = map(int, input().split())
	print(B[r] - B[l - 1])


import sys
input = sys.stdin.readline
N = 100000
primes = set(range(3, N + 1, 2))
for i in range(3, int(N ** 0.5 + 1)):
	primes.difference_update(range(i * 3, N + 1, i * 2))
primes = set(primes)
primes.add(2)
FG = [0] * (N + 1)
for i in range(1, N + 1, 2):
	FG[i - 1] = FG[i - 2]
	if i in primes and (i + 1) // 2 in primes:
		FG[i] = FG[i - 1] + 1
	else:
		FG[i] = FG[i - 1]
for q in range(int(input())):
	(l, r) = map(int, input().split())
	print(FG[r] - FG[l - 1])


def isPrime(n):
	if n == 1:
		return False
	for i in range(2, int(n ** 0.5) + 1):
		if n % i == 0:
			return False
	return True
p = [False] * (10 ** 5 + 1)
c = [0] * (10 ** 5 + 1)
for i in range(2, len(p)):
	p[i] = isPrime(i)
	c[i] = c[i - 1]
	if i % 2 == 1 and p[i] and p[i // 2 + 1]:
		c[i] += 1
Q = int(input())
for q in range(Q):
	(l, r) = map(int, input().split())
	print(c[r] - c[l - 1])


MAX = 101010
is_prime = [True] * MAX
is_prime[0] = False
is_prime[1] = False
for i in range(2, MAX):
	if is_prime[i] == False:
		continue
	for j in range(i * 2, MAX, i):
		is_prime[j] = False
a = [0] * MAX
for i in range(MAX):
	if i % 2 == 0:
		continue
	if is_prime[i] and is_prime[(i + 1) // 2]:
		a[i] = 1
s = [0]
for x in a:
	s.append(s[-1] + x)
Q = int(input())
for _ in range(Q):
	(l, r) = map(int, input().split())
	print(s[r + 1] - s[l])


def is_prime(n):
	if n == 1:
		return False
	for i in range(2, int(n ** 0.5) + 1):
		if n % i == 0:
			return False
	return True
n = int(input())
memo = [0] * (10 ** 5 + 1)
for i in range(1, 10 ** 5 + 1, 2):
	if is_prime(i) and is_prime((i + 1) / 2):
		memo[i] = 1
from itertools import accumulate
ac = list(accumulate(memo))
for i in range(n):
	(l, r) = map(int, input().split())
	print(ac[r] - ac[l - 1])


Q = int(input())
lr = [list(map(int, input().split())) for _ in range(Q)]

def prime(x):
	for i in range(2, int(x ** 0.5) + 1):
		if x % i == 0:
			return False
	return True
number2017 = [0] + [0] * 10 ** 5
for i in range(3, 10 ** 5):
	if prime(i):
		if prime((i + 1) // 2):
			number2017[i] = 1
import itertools
acc2017 = list(itertools.accumulate(number2017))
for i in lr:
	print(acc2017[i[1]] - acc2017[i[0] - 1])


n = 10 ** 5
a = [1] * (n + 1)
for x in range(2, int(n ** 0.5) + 1):
	if a[x]:
		for i in range(x * x, n + 1, x):
			a[i] = 0
a[0] = a[1] = 0
for x in range((n + 1) // 2, 0, -1):
	if a[x] == 0:
		a[2 * x - 1] = 0
m = a[2] = 0
for x in range(n + 1):
	m += a[x]
	a[x] = m
lr = [input() for _ in [0] * int(input())]
for x in lr:
	(l, r) = map(int, x.split())
	print(a[r] - a[l - 1])


prime = [1] * (10 ** 5 + 1)
prime[0] = 0
prime[1] = 1
count = [0, 0]
for i in range(2, 10 ** 5 + 1):
	count.append(count[-1])
	if prime[i]:
		for j in range(i * i, 10 ** 5 + 1, i):
			prime[j] = 0
		if i > 2 and prime[(i + 1) // 2] == 1:
			count[-1] += 1
Q = int(input())
for _ in range(Q):
	(l, r) = map(int, input().split())
	print(count[r] - count[l - 1])


from numpy import *
A = (10 ** 5 + 1) * [1]
B = (10 ** 5 + 1) * [0]
for i in range(2, int(10 ** 2.5) + 1):
	if A[i] == 1:
		for j in range(2 * i, 10 ** 5 + 1, i):
			A[j] = 0
for n in range(3, 10 ** 5 + 1):
	if A[n] and A[(n + 1) // 2]:
		B[n] += 1
B = cumsum(B)
for q in range(int(input())):
	(l, r) = map(int, input().split())
	print(B[r] - B[l - 1])


import sys
import math
from collections import defaultdict, deque, Counter
from copy import deepcopy
from bisect import bisect, bisect_right, bisect_left
from heapq import heapify, heappop, heappush
input = sys.stdin.readline

def RD():
	return input().rstrip()

def F():
	return float(input().rstrip())

def I():
	return int(input().rstrip())

def MI():
	return list(map(int, input().split()))

def MF():
	return list(map(float, input().split()))

def LI():
	return list(map(int, input().split()))

def LF():
	return list(map(float, input().split()))

def Init(H, W, num):
	return [[num for i in range(W)] for j in range(H)]

def Eratosthenes(n):
	from math import sqrt
	res = [True] * (n + 1)
	res[0] = False
	res[1] = False
	for i in range(2, int(sqrt(n)) + 1):
		if res[i]:
			for j in range(2 * i, n + 1, i):
				res[j] = False
	return res

class BIT:

	def __init__(self, n):
		self.n = n
		self.bit = [0] * (n + 1)

	def add(self, i, x):
		while i <= self.n:
			self.bit[i] += x
			i += i & -i

	def sum(self, i):
		s = 0
		while i > 0:
			s += self.bit[i]
			i -= i & -i
		return s

	def rangesum(self, i, k):
		return self.sum(k) - self.sum(i)

	def lower_bound(self, x):
		if x <= 0:
			return 0
		else:
			i = 0
			r = 1
			while r < self.n:
				r = r << 1
			len = r
			while len > 0:
				if i + len < self.n and self.bit[i + len] < x:
					x -= self.bit[i + len]
					i += len
				len = len >> 1
			return i + 1

def main():
	max_num = 100000
	Q = I()
	S = Eratosthenes(max_num)
	bit = BIT(max_num)
	for a in range(1, max_num, 2):
		b = (a + 1) // 2
		if S[a] and S[b]:
			bit.add(a, 1)
	for q in range(Q):
		(l, r) = MI()
		print(bit.sum(r) - bit.sum(l - 1))

def __starting_point():
	main()
__starting_point()


primes = [True] * 100000
for i in range(2, 100000):
	if primes[i] == False:
		continue
	for j in range(2 * i, 100000, i):
		primes[j] = False
c = [0] * 100000
for i in range(3, 100000):
	if primes[i] and primes[(i + 1) // 2] == True:
		c[i] = c[i - 1] + 1
	else:
		c[i] = c[i - 1]
q = int(input())
ran = []
for i in range(q):
	ran.append(list(map(int, input().split())))
for i in range(q):
	print(c[ran[i][1]] - c[ran[i][0] - 1])


Q = int(input())
sl = 10 ** 5 + 1
s = [i % 2 for i in range(sl)]
s[0] = s[1] = 0
s[2] = 1
for i in range(2, sl):
	if s[i] == 0:
		continue
	for j in range(2 * i, sl, i):
		s[j] = 0
dp = [0] * sl
for i in range(3, sl):
	dp[i] = dp[i - 1] + (s[i] and s[(i + 1) // 2])
for i in range(Q):
	(l, r) = map(int, input().split())
	print(dp[r] - dp[l - 1])


import numpy as np
from math import sqrt

def main():
	with open(0) as f:
		Q = int(f.readline())
		Query = [tuple(map(int, line.split())) for line in f.readlines()]
	p_table = makePtable(10 ** 5)
	p_set = set(p_table)
	Like2017 = [p for p in p_table if (p + 1) // 2 in p_set]
	database = np.array([0] * (10 ** 5 + 1))
	for i in Like2017:
		database[i] = 1
	database = database.cumsum(axis=0)
	for (l, r) in Query:
		print(database[r + 1] - database[l - 1])

def makePtable(N):
	table = list(range(2, N + 1))
	result = []
	p = 2
	while p < sqrt(N):
		p = table[0]
		result.append(p)
		table = [x for x in table if x % p != 0]
	return result + table
main()


num = [True] * 100001
num[0] = num[1] = False
for i in range(2, 317):
	if num[i]:
		for j in range(i ** 2, 100000, i):
			num[j] = False
c = [0] * 100002
for i in range(3, 100001, 2):
	if num[i] and num[int((i + 1) / 2)]:
		c[i] = c[i] + 1
for i in range(3, 100001):
	c[i] = c[i] + c[i - 1]
for i in range(int(input())):
	_input = input().split(' ')
	print(c[int(_input[1])] - c[int(_input[0]) - 1])


from itertools import accumulate

def LI():
	return list(map(int, input().split()))
Q = int(input())
n = 10 ** 5
sosu = set(range(2, n + 1))
for i in range(2, int(n ** 0.5 + 1)):
	sosu.difference_update(range(i * 2, n + 1, i))
xlist = [0] * (10 ** 5 + 1)
for i in range(1, 10 ** 5 + 1, 2):
	if i in sosu:
		if (i + 1) // 2 in sosu:
			xlist[i] = 1
Xsum = list(accumulate(xlist))
for _ in range(Q):
	(L, R) = LI()
	ans = Xsum[R] - Xsum[L - 1]
	print(ans)


def prime(x):
	for i in range(2, int(x ** 0.5) + 1):
		if x % i == 0:
			return False
	return True
c = [0] * 100002
for k in range(2, 100001):
	if prime(k):
		c[k] = 1
pri = [0] * 100002
for i in range(2, 100001):
	if c[i] == 1 and c[(i + 1) // 2] == 1:
		pri[i] = pri[i - 1] + 1
	else:
		pri[i] = pri[i - 1]
q = int(input())
a = [list(map(int, input().split())) for _ in range(q)]
for (l, r) in a:
	print(pri[r] - pri[l - 1])


n = 10 ** 5 + 1
p = [False] * 2 + [True] * (n - 2)
for i in range(2, n):
	if p[i]:
		for j in range(i * 2, n, i):
			p[j] = False
a = [p[i] == True and p[(i + 1) // 2] == True for i in range(n)]
b = [0] * n
b[0] = a[0]
for i in range(1, n):
	b[i] = b[i - 1] + a[i]
q = int(input())
for i in range(q):
	(l, r) = map(int, input().split())
	print(b[r] - b[l - 1])


q = int(input())
a = [0] * (10 ** 5 + 1)
sosu = set()
sosu = {i for i in range(2, 10 ** 5 + 1)}
for i in range(2, 10 ** 5 + 1):
	if i in sosu:
		for j in range(i * 2, 10 ** 5 + 1, i):
			if j in sosu:
				sosu.remove(j)
cnt = 0
for i in range(1, 10 ** 5, 2):
	if i in sosu and (i + 1) // 2 in sosu:
		cnt += 1
	a[i] = cnt
	a[i + 1] = cnt
for i in range(q):
	(r, l) = map(int, input().split())
	print(a[l] - a[r - 1])


l = [0] * 10 ** 5
for i in range(1, 10 ** 5 + 1):
	for j in range(2, int(i ** 0.5) + 1):
		if i % j == 0:
			break
	else:
		l[i - 1] = 1
d = [0] * 10 ** 5
t = 3
while t <= 10 ** 5:
	if l[t - 1] == 1 and l[(t - 1) // 2] == 1:
		d[t - 1] = 1
	t += 2
r = [0] * (10 ** 5 + 1)
for i in range(10 ** 5):
	r[i + 1] = r[i] + d[i]
q = int(input())
for i in range(q):
	(a, b) = map(int, input().split())
	print(r[b] - r[a - 1])


q = int(input())
p = [False] * 10 ** 5
c = [0] * 10 ** 5
temp = [True] * 10 ** 5
temp[0] = False
temp[1] = False
for i in range(2, 10 ** 5):
	c[i] = c[i - 1]
	if temp[i]:
		temp[2 * i::i] = [False] * len(temp[i + i::i])
		if temp[(i + 1) // 2] and i % 2:
			c[i] += 1
for _ in range(q):
	(l, r) = map(int, input().split())
	print(c[r] - c[l - 1])


prime = [1] * 100001
prime[0] = 0
prime[1] = 0
for i in range(2, 100001):
	if prime[i]:
		for j in range(i * i, 100001, i):
			prime[j] = 0
for i in range(100000, -1, -1):
	if prime[i]:
		if prime[(i + 1) // 2] != 1:
			prime[i] = 0
from itertools import accumulate
accum = list(accumulate(prime))
Q = int(input())
for _ in range(Q):
	(l, r) = map(int, input().split())
	print(accum[r] - accum[l - 1])


q = int(input())

def pr(n):
	L = [1] * (n + 1)
	L[0] = 0
	L[1] = 0
	for i in range(2, n + 1):
		for j in range(2 * i, n, i):
			L[j] = 0
	return L
a = pr(100001)
li = [0] * 100001
for i in range(1, 100000, 2):
	if a[i] and a[(i + 1) // 2]:
		li[i] = 1
from itertools import accumulate
b = list(accumulate(li))
for i in range(q):
	(l, r) = map(int, input().split())
	print(b[r] - b[l - 1])


is_prime = [True] * 100001
is_prime[0] = False
is_prime[1] = False
for i in range(2, int(100000 ** 0.5) + 1):
	if not is_prime[i]:
		continue
	for j in range(i * 2, 100001, i):
		is_prime[j] = False
S = [0] * 100001
for N in range(3, 100001, 2):
	if is_prime[N] and is_prime[(N + 1) // 2]:
		S[N] += 1
for N in range(3, 100001):
	S[N] += S[N - 1]
Q = int(input())
for k in range(Q):
	(l, r) = map(int, input().split())
	print(S[r] - S[l - 1])


Q = int(input())
queries = [list(map(int, input().split())) for _ in range(Q)]
max_num = 0
for (_, r) in queries:
	max_num = max(max_num, r)
is_prime = [True] * (max_num + 1)
is_prime[0] = False
is_prime[1] = False
for i in range(2, max_num + 1):
	if not is_prime[i]:
		continue
	cnt = 2
	while i * cnt <= max_num:
		is_prime[i * cnt] = False
		cnt += 1
nums_like = [0] * (max_num + 1)
cnt = 0
for i in range(1, max_num + 1):
	if i % 2 == 0:
		nums_like[i] = nums_like[i - 1]
	else:
		if is_prime[i] and is_prime[(i + 1) // 2]:
			cnt += 1
		nums_like[i] = cnt
for (l, r) in queries:
	print(nums_like[r] - nums_like[l - 1])


def get_sieve_of_eratosthenes(n):
	if not isinstance(n, int):
		raise TypeError('n is int type.')
	if n < 2:
		raise ValueError('n is more than 2')
	prime = [2]
	limit = int(n ** 0.5)
	data = [i + 1 for i in range(2, n, 2)]
	while True:
		p = data[0]
		if limit <= p:
			return prime + data
		prime.append(p)
		data = [e for e in data if e % p != 0]
primes = set(get_sieve_of_eratosthenes(10 ** 5))
cumsum = [0]
for i in range(1, 10 ** 5 + 1):
	if i % 2 == 1 and i in primes and ((i + 1) // 2 in primes):
		cumsum.append(cumsum[-1] + 1)
	else:
		cumsum.append(cumsum[-1])
Q = int(input())
for i in range(Q):
	(l, r) = list(map(int, input().split()))
	ans = cumsum[r] - cumsum[l - 1]
	print(ans)


import numpy as np

def isPrime_np(n):
	maxp = int(np.sqrt(n))
	searchlist = [i for i in range(2, n + 1)]
	primeNum = []
	while searchlist[0] <= maxp:
		primeNum.append(searchlist[0])
		tmp = searchlist[0]
		searchlist = [i for i in searchlist if i % tmp != 0]
	primeNum.extend(searchlist)
	return primeNum
MaxQ = 10 ** 5 + 1
Q = int(input())
lr = [list(map(int, input().split())) for _ in range(Q)]
a = [0] * MaxQ
s = [0] * MaxQ
prime = isPrime_np(MaxQ)
pset = set(prime)
for p in prime:
	if (p + 1) / 2 in pset:
		a[p] = 1
ans = []
for i in range(MaxQ - 1):
	s[i + 1] = s[i] + a[i]
for (l, r) in lr:
	ans.append(s[r + 1] - s[l])
print(*ans, sep='\n')


q = int(input())
a = [list((int(i) for i in input().split())) for i in range(q)]
MAX = 10 ** 5
is_prime = [1] * MAX
for i in range(2, MAX):
	if not is_prime[i]:
		continue
	for j in range(i * 2, MAX, i):
		is_prime[j] = 0
s = [0] * MAX
for i in range(3, MAX):
	s[i] = s[i - 1] + 1 if is_prime[i] and is_prime[(i + 1) // 2] else s[i - 1]
for i in range(q):
	(l, r) = a[i]
	print(s[r] - s[l - 1])


import math
n = 100009
A = [0] * n
B = []

def using_sqrt(limit):
	for k in range(2, limit + 1):
		factor = 0
		if k % 2 == 0 and k != 2:
			continue
		for divisor in range(2, math.floor(math.sqrt(k)) + 1):
			if k % divisor == 0:
				factor += 1
		if factor == 0:
			A[k] = 1
			B.append(k)
using_sqrt(n)
C = [0] * n
for i in B:
	if A[i] == 1 and A[(i + 1) // 2] == 1:
		C[i] = 1
D = []
c = 0
for i in C:
	c += i
	D.append(c)
q = int(input())
for _ in range(q):
	(a, b) = map(int, input().split())
	if C[a] == 1:
		print(D[b] - D[a] + 1)
	else:
		print(D[b] - D[a])


n_max = 10 ** 5 + 10
sieve = [0, 0] + [1] * n_max
m = 2
while m * m <= n_max:
	if sieve[m]:
		for n in range(2 * m, n_max, m):
			sieve[n] = 0
	m += 1
ok = [0] * n_max
cums = [0]
for n in range(n_max):
	if sieve[n] and sieve[(n + 1) // 2]:
		ok[n] = 1
	cums.append(cums[-1] + ok[n])
q = int(input())
for i in range(q):
	(l, r) = map(int, input().split())
	print(cums[r + 1] - cums[l])


import sys
sys.setrecursionlimit(10 ** 7)
f_inf = float('inf')
mod = 10 ** 9 + 7

def resolve():

	def is_prime(n):
		if n == 1:
			return False
		for k in range(2, int(pow(n, 0.5)) + 1):
			if n % k == 0:
				return False
		return True
	q = int(input())
	primes = set()
	nums = set()
	for i in range(2, 10 ** 5 + 1):
		if is_prime(i):
			primes.add(i)
			if (i + 1) // 2 in primes:
				nums.add(i)
	cnt = [0]
	for i in range(1, 10 ** 5 + 1):
		op = 1 if i in nums else 0
		cnt.append(cnt[-1] + op)
	for _ in range(q):
		(l, r) = list(map(int, input().split()))
		res = cnt[r] - cnt[l - 1]
		print(res)

def __starting_point():
	resolve()
__starting_point()


def isprime(x):
	if x < 2:
		return False
	for d in range(2, int(x ** 0.5) + 1):
		if x % d == 0:
			return False
	return True
isp = list(map(isprime, range(100001)))
w = [0] * 100001
for i in range(100001):
	if i > 2 and isp[i] and isp[(i + 1) // 2]:
		w[i] = 1
for i in range(1, 100001):
	w[i] += w[i - 1]
Q = int(input())
for i in range(Q):
	(L, R) = map(int, input().split())
	print(w[R] - w[L - 1])


import sys
input = sys.stdin.readline
q = int(input())
primes = [True] * 100001
primes[0] = False
primes[1] = False
for i in range(2, 100001):
	if primes[i]:
		for j in range(2, 100000 // i + 1):
			primes[i * j] = False
sim2017 = [0] * 100001
for i in range(3, 100001, 2):
	sim2017[i] = sim2017[i - 2] + (1 if primes[i] and primes[(i + 1) // 2] else 0)
for i in range(q):
	(l, r) = map(int, input().split())
	print(sim2017[r] - sim2017[l - 2])


p = []
for n in range(2, 100000):
	isP = True
	for m in p:
		if m ** 2 > n:
			break
		if n % m == 0:
			isP = False
			break
	if isP:
		p.append(n)
p = set(p)
s = {-1: 0}
for n in range(1, 100000, 2):
	s[n] = s[n - 2]
	if n in p and (n + 1) / 2 in p:
		s[n] += 1
Q = int(input())
for i in range(Q):
	(l, r) = map(int, input().split())
	print(s[r] - s[l - 2])


N = int(input())
prime = [True] * 100001
like2017 = [0] * 100001
num = 0
for i in range(2, 100001):
	if prime[i]:
		for j in range(i * 2, 100001, i):
			prime[j] = False
		if i != 2 and prime[(i + 1) // 2]:
			num += 1
	like2017[i] = num
for i in range(N):
	(l, r) = map(int, input().split())
	print(like2017[r] - like2017[l - 1])


import itertools
import copy
q = int(input())
qr = [list(map(int, input().split())) for i in range(q)]
sosu = [1] * (10 ** 5 + 1)
sosu[0] = 0
sosu[1] = 0
k = 2
while k < (10 ** 5 + 1) ** 0.5 + 1:
	for i in range(2 * k, 10 ** 5 + 1, k):
		sosu[i] = 0
	if k == 2:
		k += 1
	else:
		k += 2
n = [0] * (10 ** 5 + 1)
for i in range(1, len(sosu)):
	if i % 2 == 1 and sosu[i] == 1 and (sosu[(i + 1) // 2] == 1):
		n[i] = 1
ans = list(itertools.accumulate(n))
for i in range(q):
	print(ans[qr[i][1]] - ans[qr[i][0] - 1])


def primes(N):
	p = [False, False] + [True] * (N - 1)
	for i in range(2, int(N ** 0.5) + 1):
		if p[i]:
			for j in range(i * 2, N + 1, i):
				p[j] = False
	return p
(p, c) = (primes(10 ** 5), [0])
for i in range(1, 10 ** 5 + 1):
	c.append(c[-1] + 1 if p[i] and p[(i + 1) // 2] else c[-1])
Q = int(input())
for _ in range(Q):
	(l, r) = map(int, input().split())
	print(c[r] - c[l - 1])


from itertools import accumulate
n = 100000
primes = set(range(2, n + 1))
for i in range(2, int(n ** 0.5 + 1)):
	primes.difference_update(range(i * 2, n + 1, i))
primes = set(primes)
numli = [0] * n
for i in range(n):
	if i in primes:
		if (i + 1) // 2 in primes:
			numli[i] = 1
numli = list(accumulate(numli))
Q = int(input())
for _ in range(Q):
	(r, l) = map(int, input().split())
	print(numli[l] - numli[r - 1])


from itertools import accumulate

def eratosthenes(n):
	table = [0] * (n + 1)
	prime_list = []
	for i in range(2, n + 1):
		if table[i] == 0:
			prime_list.append(i)
			for j in range(i + i, n + 1, i):
				table[j] = 1
	return prime_list
n = 100000
prime_list = set(eratosthenes(n))
a = []
for i in range(n):
	if i in prime_list and (i + 1) // 2 in prime_list:
		a.append(1)
	else:
		a.append(0)
a = list(accumulate(a))
q = int(input())
for _ in range(q):
	(l, r) = map(int, input().split())
	print(a[r] - a[l - 1])


import math
from itertools import accumulate

def eratosthenes(n):
	prime_list = []
	num_list = [i for i in range(2, n + 1)]
	limit = math.sqrt(n)
	while True:
		if limit <= num_list[0]:
			return prime_list + num_list
		prime_list.append(num_list[0])
		num_list = [e for e in num_list if e % num_list[0] != 0]
max_lr = 100000
er_list = eratosthenes(max_lr)
count = [0] * max_lr
for i in range(len(er_list)):
	if (er_list[i] + 1) // 2 in er_list:
		count[er_list[i]] = 1
count = list(accumulate(count))
Q = int(input())
for i in range(Q):
	(l, r) = map(int, input().split())
	print(count[r] - count[l - 1])


q = int(input())
a = [0] * 10 ** 5
for i in range(1, 10 ** 5, 2):
	if (i + 1) // 2 % 2 == 0:
		pass
	else:
		for j in range(2, int(i ** (1 / 2)) + 1):
			if i % j == 0:
				break
		else:
			k = (i + 1) // 2
			for j in range(2, int(k ** (1 / 2)) + 1):
				if k % j == 0:
					break
			else:
				a[i] = 1
for i in range(1, 10 ** 5):
	a[i] = a[i - 1] + a[i]
a[1] = 0
a[2] = 0
for i in range(q):
	(l, r) = list(map(int, input().split()))
	print(a[r] - a[l - 1])


MAX = 114514
v = [0] * MAX
p = [1] * MAX
p[0] = p[1] = 0
for i in range(int(MAX ** 0.5) + 1):
	if p[i] == 1:
		n = i + i
		while n < MAX:
			p[n] = 0
			n += i
for i in range(1, MAX):
	v[i] = v[i - 1]
	if p[i] == 1:
		v[i] += p[(i + 1) // 2]
for _ in range(int(input())):
	(l, r) = map(int, input().split())
	print(v[r] - v[l - 1])


from itertools import accumulate
(q, *lr) = list(map(int, open(0).read().split()))
p = [True] * 100010
p[0] = False
p[1] = False
i = 2
while i <= 100005:
	if p[i]:
		j = i * 2
		while j <= 100005:
			p[j] = False
			j += i
	i += 1
s = [0] * 100010
for i in range(3, 100005, 2):
	if p[i] and p[(i + 2) // 2]:
		s[i] += 1
s = tuple(accumulate(s))
for (l, r) in zip(*[iter(lr)] * 2):
	print(s[r] - s[l - 1])


import sys
input = sys.stdin.readline

def is_prime(n):
	for i in range(2, int(n ** 0.5) + 1):
		if n % i == 0:
			return False
			exit()
	return True
L = [0] * (10 ** 5 + 1)
cnt = 0
for i in range(3, 10 ** 5 + 1):
	if is_prime(i) and is_prime((i + 1) // 2):
		cnt += 1
	L[i] = cnt
q = int(input())
for _ in range(q):
	(l, r) = map(int, input().split())
	print(L[r] - L[l - 1])


q = int(input())
lr = [list(map(int, input().split())) for _ in range(q)]
mr = 0
for (l, r) in lr:
	mr = max(mr, r)
l = [1 for _ in range(mr + 1)]
(l[0], l[1]) = (0, 0)
s = [0 for _ in range(mr + 1)]
for i in range(2, int(mr ** (1 / 2)) + 1):
	x = i * 2
	while x <= mr:
		l[x] = 0
		x += i
for i in range(2, mr + 1):
	if l[i] == 1 and l[(i + 1) // 2] == 1:
		s[i] = s[i - 1] + 1
	else:
		s[i] = s[i - 1]
for (l, r) in lr:
	print(s[r] - s[l - 1])


def sieve(n):
	from math import sqrt
	is_prime = [True for _ in range(n + 1)]
	is_prime[0] = is_prime[1] = False
	for i in range(int(sqrt(n)) + 1):
		if is_prime[i]:
			for k in range(2, n // i + 1):
				is_prime[i * k] = False
	return is_prime

def is_like2017(n):
	for i in range(n + 1):
		if is_primeL[i]:
			if is_primeL[(i + 1) // 2]:
				is_likeL[i] = True
n = 100000
is_primeL = sieve(n)
is_likeL = [False for _ in range(n + 1)]
is_like2017(n)
from itertools import accumulate
cumL = list(accumulate(is_likeL))
cumL[0] = 0
q = int(input())
for _ in range(q):
	(l, r) = list(map(int, input().split()))
	print(cumL[r] - cumL[l - 1])


import math

def main():
	prime = [2, 3, 5, 7]
	for n in range(11, 100001):
		for p in prime:
			if n % p == 0:
				break
			if p > math.sqrt(n):
				prime.append(n)
				break
	sim = []
	j = 0
	for i in range(1, len(prime)):
		p = prime[i]
		q = int((p + 1) / 2)
		while q > prime[j]:
			j += 1
		else:
			if q == prime[j]:
				sim.append(p)
	sim.append(12345678)
	sim_n = [0]
	k = 0
	for s in range(1, 100001):
		if s == sim[k]:
			sim_n.append(sim_n[-1] + 1)
			k += 1
		else:
			sim_n.append(sim_n[-1])
	Q = int(input())
	for i in range(Q):
		(l, r) = [int(a) for a in input().split(' ')]
		print(sim_n[r] - sim_n[l - 1])
main()


def is_prime(n):
	if n == 1:
		return False
	for i in range(2, int(n ** 0.5) + 1):
		if n % i == 0:
			return False
	return True
a = []
for i in range(3, 10 ** 5):
	if is_prime(i) and is_prime((i + 1) // 2):
		a.append(i)
q = int(input())
lr = [list(map(int, input().split())) for _ in range(q)]
for lri in lr:
	print(len([ai for ai in a if ai >= lri[0] and ai <= lri[1]]))


MAX_R = 100001
MAX_Q = 100000
B = [False] * 2 + [True] * (MAX_R - 1)
C = [0] * (MAX_R + 1)

def seive():
	for i in range(2, MAX_R):
		if B[i]:
			for j in range(i * 2, MAX_R, i):
				B[j] = False
seive()
for i in range(1, MAX_R):
	C[i] = C[i - 1] + int(i % 2 != 0 and B[i] and B[(i + 1) // 2])
Q = int(input())
A = []
for _ in range(Q):
	(l, r) = [int(x) for x in input().split()]
	A.append(C[r] - C[l - 1])
for a in A:
	print(a)


Q = int(input())
S = [False] * 10 ** 5
S[0] = True
S[1] = True
for i in range(2, 10 ** 5):
	if not S[i]:
		for j in range(2 * i, 10 ** 5, i):
			S[j] = True
c = [0] * 10 ** 5
for i in range(3, 10 ** 5):
	if not S[i] and (not S[(i + 1) // 2]):
		c[i] = c[i - 1] + 1
	else:
		c[i] = c[i - 1]
for i in range(Q):
	(l, r) = map(int, input().split())
	print(c[r] - c[l - 1])


import math, string, itertools, fractions, heapq, collections, re, array, bisect, sys, random, time, copy, bisect
from operator import itemgetter
from decimal import Decimal, ROUND_HALF_UP, ROUND_HALF_EVEN
sys.setrecursionlimit(10 ** 7)
inf = 10 ** 20
mod = 10 ** 9 + 7
stdin = sys.stdin
ni = lambda : int(ns())
nf = lambda : float(ns())
na = lambda : list(map(int, stdin.readline().split()))
nb = lambda : list(map(float, stdin.readline().split()))
ns = lambda : stdin.readline().rstrip()

def is_prime(n):
	if n == 1:
		return False
	for i in range(2, int(n ** 0.5) + 1):
		if n % i == 0:
			return False
	return True
a = [0] * (10 ** 5 + 5)
for i in range(1, 10 ** 5 + 1):
	a[i] = a[i - 1]
	if is_prime(i) and is_prime((i + 1) // 2):
		a[i] += 1
Q = ni()
for i in range(Q):
	(l, r) = na()
	print(a[r] - a[l - 1])


import math

def isprime(n):
	if n == 1:
		return False
	if n == 2:
		return True
	for i in range(2, int(math.sqrt(n)) + 1):
		if n % i == 0:
			return False
	return True
s = set([i for i in range(1, 10 ** 5, 4) if isprime(i) and isprime((i + 1) // 2)])
s.add(3)
l = [i in s for i in range(10 ** 5)]
ls = []
tmp = 0
for i in l:
	tmp += i
	ls.append(tmp)
n = int(input())
for i in range(n):
	(l, r) = map(int, input().split())
	print(ls[r] - ls[l - 1])


tf = [True] * 100001
tf[0] = tf[1] = True
for i in range(2, 320):
	if tf[i]:
		for j in range(i ** 2, 100001, i):
			tf[j] = False
tf2 = [False] * 100001
for i in range(3, 100001):
	if tf[i] and tf[(i + 1) // 2]:
		tf2[i] = True
count = []
acc = 0
for i in range(100001):
	acc += tf2[i]
	count.append(acc)
q = int(input())
for _ in range(q):
	(l, r) = map(int, input().split())
	print(count[r] - count[l - 1])


def is_prime(n):
	for i in range(2, n + 1):
		if i * i > n:
			break
		if n % i == 0:
			return 0
	return 1
sl = [0, 0]
for j in range(2, 10 ** 5 + 1):
	if j % 2 == 0:
		sl.append(sl[j - 1])
	elif is_prime(j) == 1 and is_prime((j + 1) // 2) == 1:
		sl.append(sl[j - 1] + 1)
	else:
		sl.append(sl[j - 1])
q = int(input())
for _ in range(q):
	(l, r) = list(map(int, input().split()))
	print(sl[r] - sl[l - 1])


def check(i):
	num = int(i ** 0.5)
	if i == 1:
		return 0
	if i == 2:
		return 1
	for j in range(2, num + 1):
		if i % j == 0:
			break
	else:
		return 1
	return 0
q = int(input())
lr = [list(map(int, input().split())) for i in range(q)]
L = [0] * (10 ** 5 + 1)
for i in range(10 ** 5 + 1):
	if i % 2 == 0:
		L[i] = L[i - 1]
	else:
		L[i] = L[i - 1] + check(i) * check((i + 1) // 2)
for (l, r) in lr:
	cnt = L[r] - L[l - 1]
	print(cnt)


INF = 10 ** 5 + 1
p = [1] * INF
for i in range(2, INF):
	if p[i]:
		for j in range(2 * i, INF, i):
			p[j] = 0
(p[0], p[1]) = (0, 0)
dp = [0] * INF
for i in range(1, INF, 2):
	if p[i] * p[(i + 1) // 2]:
		dp[i] = 1
for i in range(1, INF):
	dp[i] += dp[i - 1]
q = int(input())
for i in range(q):
	(l, r) = map(int, input().split())
	print(dp[r + 1] - dp[l - 1])


prime = [0, 0] + [1] * (10 ** 5 - 1)
for x in range(2, 5 * 10 ** 2 + 1):
	if prime[x]:
		for i in range(2, 10 ** 5 // x + 1):
			prime[x * i] = 0
islike2017 = [0] * (10 ** 5 + 1)
cnt = 0
for z in range(2, 10 ** 5 + 1):
	if prime[z] and prime[(z + 1) // 2]:
		cnt += 1
	islike2017[z] = cnt
Q = int(input())
for _ in range(Q):
	(l, r) = map(int, input().split())
	print(islike2017[r] - islike2017[l - 1])


def is_prime(n):
	for i in range(2, n + 1):
		if i * i > n:
			break
		if n % i == 0:
			return False
	return n != 1
Q = int(input())
dp = {1: 0}
for i in range(10 ** 5)[3::2]:
	if is_prime(i) and is_prime((i + 1) // 2):
		dp[i] = dp[i - 2] + 1
	else:
		dp[i] = dp[i - 2]
for i in range(Q):
	(l, r) = list(map(int, input().split()))
	r = dp[r]
	l = dp[l - 2] if 3 <= l else 0
	print(r - l)


n = 10 ** 5
e = [True] * (n + 1)
e[0] = False
e[1] = False
for i in range(2, int(n ** 0.5) + 1):
	if not e[i]:
		continue
	for j in range(i * 2, n + 1, i):
		e[j] = False
c = [0] * (n + 2)
for i in range(3, n + 1, 2):
	if e[i] and e[(i + 1) // 2]:
		c[i] += 1
for i in range(3, n + 1):
	c[i] += c[i - 1]
q = int(input())
for _ in range(q):
	(l, r) = map(int, input().split())
	print(c[r] - c[l - 1])


import bisect
sosu = set()
nums = [1] * (10 ** 5 + 1)
for i in range(2, 10 ** 5 + 1):
	if nums[i] == 1:
		sosu.add(i)
		j = i
		while j < 10 ** 5 + 1:
			nums[j] = 0
			j += i
nums = [x for x in range(3, 2 * 10 ** 5 + 1, 2) if x in sosu and (x + 1) // 2 in sosu]
Q = int(input())
for _ in range(Q):
	(l, r) = map(int, input().split())
	a = bisect.bisect_left(nums, l)
	b = bisect.bisect_right(nums, r + 1)
	print(b - a)


q = int(input())
LR = [map(int, input().split()) for _ in range(q)]
(L, R) = [list(i) for i in zip(*LR)]
import math
N = 100000
A = []
for i in range(N + 1):
	A.append(1)
A[0] = 0
A[1] = 0
i = 2
while i <= math.sqrt(N):
	if A[i] == 0:
		i += 1
		continue
	j = 2
	while i * j <= N:
		A[i * j] = 0
		j += 1
	i += 1
S = []
for i in range(N + 1):
	S.append(0)
for x in range(1, N, 2):
	if A[x] == 1 and A[(x + 1) // 2] == 1:
		S[x] = 1
T = [0]
for y in range(N + 1):
	T.append(T[y] + S[y])
del T[0]
for z in range(q):
	ans = T[R[z]] - T[L[z] - 1]
	print(ans)


import math
Q = int(input())
lr = []
for _ in range(Q):
	(l, r) = map(int, input().split())
	lr.append((l, r))
Primes = [1] * (10 ** 5 + 1)
(Primes[0], Primes[1]) = (0, 0)
for i in range(2, 10 ** 5 + 1):
	if Primes[i] == 0:
		continue
	M = int(math.sqrt(i)) + 1
	for j in range(2, M):
		if i % j == 0:
			Primes[i] = 0
			break
	else:
		for k in range(i * 2, 10 ** 5 + 1, i):
			Primes[k] = 0
like2017 = [0] * (10 ** 5 + 1)
for x in range(10 ** 5 + 1):
	if Primes[x] == 1 and Primes[(x + 1) // 2] == 1:
		like2017[x] = 1
s = [0] * (len(like2017) + 1)
for a in range(len(like2017)):
	s[a + 1] = s[a] + like2017[a]
for (l, r) in lr:
	ans = s[r + 1] - s[l]
	print(ans)


from itertools import *
MAX = 10 ** 5 + 1
is_prime = [True] * MAX
is_prime[0] = False
is_prime[1] = False
for i in range(2, MAX):
	if is_prime[i] == False:
		continue
	for j in range(i * 2, MAX, i):
		is_prime[j] = False
a = [0] * MAX
for i in range(MAX):
	if i % 2 == 0:
		continue
	if is_prime[i] and is_prime[(i + 1) // 2]:
		a[i] = 1
s = [0] + list(accumulate(a))
Q = int(input())
for _ in range(Q):
	(l, r) = map(int, input().split())
	print(s[r + 1] - s[l])


sosuu = [1] * (10 ** 5 + 1)
sosuu[0] = 0
sosuu[1] = 0
sosuu[2] = 1
for i in range(2, 318):
	for j in range(2 * i, 10 ** 5 + 1, i):
		if sosuu[j] == 1:
			sosuu[j] = 0
nita = []
for i in range(10 ** 5 + 1):
	nita.append(sosuu[i])
nita[2] = 0
for i in range(3, 10 ** 5 + 1, 2):
	if sosuu[i] == 1 and sosuu[(i + 1) // 2] != 1:
		nita[i] = 0
c = [0]
for _ in range(1, 10 ** 5 + 1):
	c.append(c[-1] + nita[_])
q = int(input())
for _ in range(q):
	(l, r) = map(int, input().split())
	print(c[r] - c[l - 1])


import math
num = 100000
s = set([i for i in range(2, num + 1)])
p = set()
mi = 0
while mi <= math.sqrt(num):
	mi = min(s)
	t = set([i * mi for i in range(1, num // mi + 1)])
	p.add(mi)
	s -= t
p = p | s
p2 = set([i for i in p if (i + 1) // 2 in p])
c = 0
x = [0] * 100001
for i in range(1, num + 1):
	if i in p2:
		c += 1
	x[i] = c
q = int(input())
for i in range(q):
	(l, r) = map(int, input().split())
	ans = x[r] - x[l - 1]
	print(ans)


q = int(input())
n = 10 ** 5 + 1
p = [0] * n
p[2] = 1
for i in range(3, 10 ** 5 + 1):
	prime = 1
	for j in range(2, int(i ** 0.5) + 1):
		if i % j == 0:
			prime = 0
			break
	if prime:
		p[i] = 1
like2017 = [1 if p[i] and p[(i + 1) // 2] else 0 for i in range(n)]
cnter = [0] * n
for i in range(1, n):
	cnter[i] = cnter[i - 1] + like2017[i]
for _ in range(q):
	ans = 0
	(l, r) = map(int, input().split())
	ans = cnter[r] - cnter[l - 1]
	print(ans)


import math

def primes(x):
	if x < 2:
		return []
	primes = [i for i in range(x)]
	primes[1] = 0
	for prime in primes:
		if prime > math.sqrt(x):
			break
		if prime == 0:
			continue
		for non_prime in range(2 * prime, x, prime):
			primes[non_prime] = 0
	return [prime for prime in primes if prime != 0]
pr = primes(100000)
d = [0] * 100001
ans = [0] * 100001
for j in pr:
	d[j] = 1
for k in pr:
	tmp = (k + 1) // 2
	if d[tmp] == 1:
		ans[k] = 1
import numpy as np
cum = np.cumsum(ans)
q = int(input())
for _ in range(q):
	(l, r) = map(int, input().split())
	i1 = cum[l - 1]
	i2 = cum[r]
	print(i2 - i1)


q = int(input())
k = 10 ** 5 + 1
x = [0] * k

def sieve(n):
	prime = [True] * (n + 1)
	prime[0] = prime[1] = False
	for i in range(2, n + 1):
		if prime[i]:
			for j in range(i * 2, n + 1, i):
				prime[j] = False
	return prime
p = sieve(k + 1)
c = 0
for i in range(3, k):
	if p[i] and p[(i + 1) // 2]:
		c += 1
	x[i] = c
for _ in range(q):
	(l, r) = map(int, input().split())
	print(x[r] - x[l - 1])


prime = [1 for i in range(int(100000.0 + 10))]

def sieve(n):
	prime[0] = prime[1] = 0
	for i in range(2, n):
		for j in range(i + i, n, i):
			prime[j] = 0
q = int(input())
sieve(int(100000.0))
cnt = []
for i in range(int(100000.0)):
	if i == 0:
		cnt.append(0)
	else:
		cnt.append(cnt[-1] + (prime[i] and prime[(i + 1) // 2]))
for i in range(q):
	(l, r) = map(int, input().split())
	print(cnt[r] - cnt[l - 1])


from math import floor, sqrt

def __starting_point():
	Q = int(input())
	acc = [0] * (10 ** 5 + 1)
	primes = set([2])
	for i in range(3, 10 ** 5 + 1):
		fl = True
		for j in range(2, floor(sqrt(i)) + 1):
			if i % j == 0:
				fl = False
				break
		acc[i] = acc[i - 1]
		if fl:
			primes.add(i)
			if (i + 1) // 2 in primes:
				acc[i] += 1
	for q in range(Q):
		(l, r) = map(int, input().split())
		print(acc[r] - acc[l - 1])
__starting_point()


a = [0 for i in range(10 ** 5 + 5)]
for i in range(3, 10 ** 5 + 3, 2):
	for j in range(3, int(i ** 0.5) + 1, 2):
		if i % j == 0 and j != i:
			break
	else:
		a[i] = 1
(a[3], a[2]) = (1, 1)
b = [0 for i in range(10 ** 5 + 5)]
for i in range(3, 10 ** 5 + 3, 2):
	b[i] = a[i] and a[(i + 1) // 2]
c = [0]
for i in range(len(b)):
	c.append(c[i] + b[i])
for i in range(int(input())):
	(l, r) = map(int, input().split())
	print(c[r + 1] - c[l])


import math
n = [0, 0, 1] + [1 for _ in range(10 ** 5 - 2)]

def check_prime(x):
	for i in range(x * 2, 10 ** 5 + 1, x):
		n[i] = 0
check_prime(2)
for i in range(3, int(math.sqrt(10 ** 5)) + 1, 2):
	check_prime(i)
c = [0 for _ in range(10 ** 5 + 1)]
for i in range(1, 10 ** 5 + 1):
	c[i] = c[i - 1] + n[i] * n[(i + 1) // 2]
for _ in range(int(input())):
	(l, r) = map(int, input().split())
	ans = c[r] - c[l - 1]
	print(ans)


n = int(input())
q = [list(map(int, input().split())) for _ in range(n)]
MAX = 100010
p = [1] * MAX
p[0] = 0
p[1] = 0
for i in range(2, MAX):
	if not p[i]:
		continue
	for j in range(i * 2, MAX, i):
		p[j] = 0
a = [0] * MAX
for i in range(MAX):
	if i % 2 == 0:
		continue
	if p[i] and p[int((i + 1) / 2)]:
		a[i] = 1
s = [0] * (MAX + 1)
for i in range(MAX):
	s[i + 1] = s[i] + a[i]
for i in range(n):
	print(s[q[i][1] + 1] - s[q[i][0]])


n = 100001
a = [True] * n
b = [0] * n
a[0] = False
a[1] = False
for i in range(2, n):
	if a[i]:
		for j in range(i * 2, n, i):
			a[j] = False
cnt = 0
for i in range(3, n):
	if a[i] and a[(i + 1) // 2]:
		cnt += 1
	b[i] = cnt
q = int(input())
for i in range(q):
	(l, r) = map(int, input().split())
	print(b[r] - b[l - 1])


import itertools
Q = int(input())
l = [0 for q in range(Q)]
r = [0 for q in range(Q)]
for q in range(Q):
	(l[q], r[q]) = map(int, input().split(' '))
max_r = max(r)
prime_numbers = [True for n in range(max_r + 1)]
similar_numbers = [False for n in range(max_r + 1)]
(prime_numbers[0], prime_numbers[1]) = (False, False)
for divisor in range(2, max_r // 2 + 1):
	if prime_numbers[divisor]:
		for multipler in range(2, max_r // divisor + 1):
			prime_numbers[divisor * multipler] = False
for N in range(1, max_r + 1, 2):
	if prime_numbers[N] and prime_numbers[(N + 1) // 2]:
		similar_numbers[N] = True
accumulate_sim_nums = list(itertools.accumulate(map(int, similar_numbers)))
for q in range(Q):
	print(accumulate_sim_nums[r[q]] - accumulate_sim_nums[l[q] - 1])


import sys
input = sys.stdin.readline
q = int(input())
fact = [1] * (10 ** 5 + 7)
fa_sum = [0] * (10 ** 5 + 7)
fact[0] = 0
fact[1] = 0
for i in range(2, 10 ** 5 + 7):
	if fact[i]:
		for j in range(i * 2, 10 ** 5 + 7, i):
			fact[j] = 0
	if fact[i] and fact[(i + 1) // 2]:
		fa_sum[i] = fa_sum[i - 1] + 1
	else:
		fa_sum[i] = fa_sum[i - 1]
for k in range(q):
	(l, r) = map(int, input().split())
	print(fa_sum[r] - fa_sum[l - 1])


M = 10 ** 5 + 1
p = [1] * M
p[0] = p[1] = 0
for i in range(2, 10 ** 3):
	if p[i]:
		for j in range(i * i, M, i):
			p[j] = 0
C = [0] * M
for i in range(2, M):
	if p[i] and p[(i + 1) // 2]:
		C[i] = C[i - 1] + 1
	else:
		C[i] = C[i - 1]
q = int(input())
for i in range(q):
	(l, r) = map(int, input().split())
	print(C[r] - C[l - 1])


Q = int(input())
lr = [list(map(int, input().split())) for _ in range(Q)]
N = 10 ** 5
c = [0] * (N + 1)
tf = [False] * (N + 1)
for i in range(2, N + 1):
	if not tf[i]:
		for j in range(i * 2, N + 1, i):
			tf[j] = True
for i in range(3, N, 2):
	if not tf[i] and (not tf[(i + 1) // 2]):
		c[i] += 1
for i in range(3, N, 1):
	c[i] += c[i - 1]
for (l, r) in lr:
	print(c[r] - c[l - 1])