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.

Difficulty: interview

Starter code:

Solutions:
import numpy as np
def eratosthenes(m):
    if m<2:
        return []
    dp=[True]*(m+1)
    sosu=[2]
    like=[0]*(m+1)#累積和
    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)

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]))


# エラトステネスの篩
#############################################################
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)


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])

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]))


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])

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):
    # print(i)
    poi[i] = (i % 2 == 1 and hurui[i] and hurui[(i+1)//2])
poi[1] = False
#print(poi)
sa = [0]
for i in range(n+1):
    sa.append(sa[i]+poi[i])
#print(sa[:10])

#print(poi[2017])

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]))


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


def Eratosthenes(n):
    """n(>=6)未満の素数列挙 """
    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)
    # return [2, 3] + [3 * i + 1 | 1 for i in range(1, n // 3 - correction) if sieve[i]]
    # x が素数か判定したいとき
    return {2, 3}.union({3 * i + 1 | 1 for i in range(1, n // 3 - correction) if sieve[i]})


sieve = Eratosthenes(10 ** 5 + 1)
ans = [0] * (10 ** 5 + 1)
for i in range(3, 10 ** 5, 2):
    if i in sieve and (i + 1) // 2 in sieve:
        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]))


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])

n=7**6;P=[0,0]+[1]*n;S=[0]*n;r=range(2,n)
for i in r:
  for j in range(2*i,n,i):P[j]=0
for i in r: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])

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])

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])))



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**.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 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) #ルートn以上で割れることはない
    data = [i + 1 for i in range(2, n, 2)] #最初から3スタートの奇数にしておく
    while True:
        p = data[0]
        if limit < p: #ここでイコールが入るとlimitが素数の時にlimit^2が残ってダメ。
            return prime + data
        prime.append(p) #ここで一番最初に取り出した素数を加える。
        data = [e for e in data if e % p != 0] #残りでその素数で割れない数字を取得。

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)

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]))


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])

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()

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])

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 primenum(N,a):
    """i<Nのiについて，iより小さい素数の数をaにリストにする"""
    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

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()

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])

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]))


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()

s = [1] * 100001
# 素数か判定
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
# 2017に似た数か判定
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])

#クエリにO(1)で返すためのテーブルを用意
import numpy as np
MAX = int(10e5+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 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())

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])

import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,random,time, copy,bisect
from operator import itemgetter
#from heapq import heappush, heappop
#import numpy as np
#from scipy.sparse.csgraph import shortest_path, floyd_warshall, dijkstra, bellman_ford, johnson
#from scipy.sparse import csr_matrix
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()  # ignore trailing spaces

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])

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]:
            #print(i, (i+1)//2)
            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 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")

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)

prime = [0,0] + [1]*(10**5-1) #0,1は素数でない
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])

#!/usr/bin/env python3
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])
# print(c)
# print(c_sum)


for i in range(q):
    l, r = list(map(int, input().split()))
    print((c_sum[r]-c_sum[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():
    # 作りたい要素数nで初期化
    # 使用するインスタンス変数の初期化
    def __init__(self, n):
        self.n = n
        self.bit = [0] * (n+1)

    #bit_indexにxをO(log(n))で加算する
    def add(self,i,x):
        #if(i<=0 or i>n):return iに0以下の数字は代入しない
        while i <= self.n:
            self.bit[i] += x
            i += (i & -i)
    #bit_1 + bit_2 + …  + bit_n をO(log(n))で求める
    def sum(self,i):
        s = 0
        #iに0以下の数字は代入しない。
        while i > 0:
            s+=self.bit[i]
            i -= (i & -i)
        return s
    
    def rangesum(self,i,k):
        return self.sum(k) - self.sum(i)
    #a_1 + a_2 + … + a_i >= x となるような最小のiを求める(a_k >= 0)
    #xが0以下の場合は該当するものなし→0を返す
    def lower_bound(self,x):
        if x <= 0:
            return 0
        else:
            i = 0
            r = 1
            #最大としてありうる区間の長さを取得する
            #n以下の最小の二乗のべき(BITで管理する数列の区間で最大のもの)を求める
            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)
    
    #bitの初期化
    for a in range(1,max_num, 2):
        b = (a+1) // 2
        if S[a] and S[b]:
            bit.add(a, 1)
    
    #queryの処理
    
    for q in range(Q):
        l, r = MI()
        print((bit.sum(r)-bit.sum(l-1)))

def __starting_point():
    main()

__starting_point()

import math
n = 100009
A = [0] * n
B = []
def using_sqrt(limit):
    for k in range(2, limit+1):
        factor = 0
        
        # 2以外の偶数は素数ではないので無視する
        if k % 2 == 0 and k != 2:
            continue
        
        # 繰り返しの上限を対象の平方根にする
        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])

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=[] #素数なら1,素数でなければ0
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=[] #「2017に似た数」なら1,「2017に似た数」でなければ0
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] #Sの累積和
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 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, dtype='int64')
for i in range(1, N+1):
    if isNumLike2017(i): X[i-1] += 1
X = X.cumsum()

Q = int(input())
for _ in range(Q):
    l, r = input().split()
    l, r = int(l), int(r)
    if l == 1: L = 0
    else: L = X[l-2]
    R = X[r-1]
    print(R - L)

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


def Eratosthenes(n):
    """n(>=6)未満の素数列挙 """
    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]))


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 = []
s = np.cumsum(a)
    
for l,r in lr:
    ans.append(s[r] - s[l-1])
print(*ans,sep="\n")   

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])

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 bisect
q=int(input())
ans=[]

def sieve(n):
    is_prime = [True for _ in range(n+1)]
    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

l_2017=sieve(10**5+1)[1:]

for i in range(q):
    l,r=map(int,input().split())
    ans.append(bisect.bisect_right(l_2017,r)-bisect.bisect_left(l_2017,l))

print(*ans,sep="\n")

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]
    #データベースを累積和で作成
    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()

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=list(map(int,input().split()))
  print((s[r+1]-s[l]))


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()

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 = list(map(int, input().split()))
    print((S[r]-S[l-2]))



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)


#!/usr/bin/env python3
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()

def f():    
    dp = [1]*(10**5+1) #エラトステネスの篩
    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) #2012_like check
    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()

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]))


import sys

input = sys.stdin.readline

Q = int(input())

primes = set()
not_p = set()
for i in range(2, 10**5 + 1):
# for i in range(2, 10 + 1):
    if i not in not_p:
        primes.add(i)
        for j in range(i+i, 10**5+1, i):
        # for j in range(i+i, 10+1, i):
            not_p.add(j)
# print(primes)
# print(not_p)

acum = [0 for _ in range(10**5+1)]
for i in range(3, 10**5+1, 2):
# for i in range(3, 10, 2):
    if i in primes and ((i+1) // 2) in primes:
        # print(i, "like2017")
        acum[i] += 1
    acum[i] += acum[i-2]
# print(acum[:10])

for _ in range(Q):
    l, r = map(int, input().split())
    print(acum[r] - acum[l - 2])

MAX_R = 100_001
MAX_Q = 100_000


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())

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]))


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_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")


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 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]))


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 #s[i]==1:iが素数
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])

q = int(input())

n = 10**5+1
# エラストネスの篩で素数を取得
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

# その結果から素数でかつ(n+1)//2を満たす素数を選別し、
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]

# 対象となっている範囲の差分を出力
for _ in range(q):
  l,r = map(int, input().split())
  print(nums[r] - nums[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()

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():
    
    Q = int(input())
    
    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

    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()

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 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)]

# nまでの自然数が素数かどうかを表すリストを返す
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()

#!/usr/bin/env python
# coding: utf-8

# In[18]:


import itertools


# In[19]:


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)


# In[27]:


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))


# In[30]:


Q = int(input())
for _ in range(Q):
    l,r = list(map(int, input().split()))
    print((S[r]-S[l-1]))


# In[ ]:






import math
from itertools import accumulate

# エラトステネスの篩
def eratosthenes(n): 
    prime_list = []
    num_list=[i for i in range(2, n+1)] # 2以上n以下の整数を並べる
    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] # 倍数をふるい落とす

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

# 累積和            
count = list(accumulate(count)) 

Q = int(input())
for i in range(Q):
    l, r = map(int, input().split())
    print(count[r]-count[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])

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)]))


# D - 2017-like Number (hint)
import math
Q = int(input())
lr = []
for _ in range(Q):
    l,r = map(int,input().split())
    lr.append((l,r))

# iが素数なら Primes[i] = 1
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

# 累積和
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)

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]-=1
      
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])

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])

from math import ceil, sqrt


def eratosthenes(n):
    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
    return hurui


n = 10**5 + 200
hurui = eratosthenes(n)
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]))


def prime_table(n):
    prime = [True]*(n+1)
    prime[0], prime[1] = False, False
    i = 2
    while i*i <= n:
        if not prime[i]:
            i += 1
            continue
        j = 2*i
        while j <= n:
            prime[j] = False
            j += i
        i += 1
    return prime
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")


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):
        # dp[i] = 1
        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]))


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))
# print(primes)
res = [0] * (10**5+1)
for i in range(1,10**5+1):
    #print(i)
    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]
#print(res)
for i in range(Q):
    l, r = map(int, input().split())
    print(res[r]-res[l-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))


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
for i in range(1,n):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])

# -*- coding: utf-8 -*-
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)

# lis_of_lis = [[] for _ in range(N)]


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))
# print(num_lile2017)

Q = z()
for i in range(Q):
    l, r = zz()
    print((num_lile2017[r] - num_lile2017[l-1]))


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]))


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()

dp = [1]*(10**5+1) #エラトステネスの篩
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) #2012_like check
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])

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    # 1 is not a prime number
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])

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 bisect

def sieve(n):
    is_prime =[1]*n
    is_prime[0]=0

    for i in range(2,int((n**0.5)//1+2)):
        if is_prime[i-1]:
            j=i*2
            while j<=n:
                is_prime[j-1]=0
                j+=i
    table=[i for i in range(3,n+1) if is_prime[i-1] and is_prime[i//2]]
    return table

q=int(input())
L=sieve(10**5+1)
ans=[]

for i in range(q):
    l,r=map(int,input().split())
    ans.append(bisect.bisect_right(L,r)-bisect.bisect_left(L,l))

print(*ans,sep="\n")

import sys
input = sys.stdin.readline

#l = list(map(int, input().split()))
#import numpy as np
#arr = np.array([int(i) for i in input().split()])
'''
a,b=[],[]
for i in range(n):
    A, B = map(int, input().split())
    a.append(A)   
    b.append(B)'''

def premf(n):
    #前処理
    #minfactor:複数の素因数分解を高速(O(Q*logA_max))に行う,indexはその整数
    #return resで素数リスト(eratosthenes),MinFactorで前処理用リスト返す
    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)#1-index
t=0
#print(res)
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]
#print(a[:20])
for i in range(q):
    l,r=map(int,input().split())
    print(a[r]-a[l-1])

n=8**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
for i in range(1,n):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 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)

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 primes(x):
    if x < 2: return []

    primes = [i for i in range(x)]
    primes[1] = 0 # 1は素数ではない

    # エラトステネスのふるい
    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)

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)

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])

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, 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, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 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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
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)

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]))


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


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())  # クエリ数

    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()