Buggy python submission (verdict: Time Limit Exceeded):
import numpy as np

q = int(input())

# 素数列挙
n = 10**5 + 1
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))

arr = np.array(list(primes))
arr = np.bincount(arr)

# 素数かつ2017に似た数を列挙
like_2017 = np.zeros(n, bool)
for i in np.where(arr == 1)[0]:
    if (i + 1) // 2 in primes:
        like_2017[i] = True


def cnt_primes(l, r):
    return like_2017[l:r + 1].sum()


ans = []
for _ in range(q):
    tmp = 0
    l, r = map(int, input().split())
    tmp += cnt_primes(l, r)
    ans.append(tmp)

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

Fixed submission:
import numpy as np

q = int(input())

# 素数列挙
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)

arr = np.array(list(primes))
arr = np.bincount(arr)

# 素数かつ2017に似た数を列挙
like_2017 = np.zeros(n, bool)
for i in np.where(arr == 1)[0]:
    if (i + 1) // 2 in primes:
        like_2017[i] = True

like_2017 = like_2017.cumsum()


def cnt_primes(l, r):
    return like_2017[r] - like_2017[l - 1]


ans = []
for _ in range(q):
    tmp = 0
    l, r = map(int, input().split())
    tmp += cnt_primes(l, r)
    ans.append(tmp)

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

Buggy python submission (verdict: Runtime Error):
import bisect
from collections import defaultdict

q = int(input())


n = 10**5 + 1
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 = list(primes)


def is_prime(i):
    p = bisect.bisect_left(primes, i)
    if primes[p] == i:
        return True
    else:
        return False


memo = defaultdict(bool)


ans = []
for _ in range(q):
    tmp = 0
    l, r = map(int, input().split())
    for i in range(l, r + 1, 2):
        if i in memo:
            tmp += memo[i]
        else:
            memo[i] = is_prime(i) and is_prime((i + 1) // 2)
            tmp += memo[i]
    ans.append(tmp)

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

Fixed submission:
import numpy as np

q = int(input())

# 素数列挙
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)

arr = np.array(list(primes))
arr = np.bincount(arr)

# 素数かつ2017に似た数を列挙
like_2017 = np.zeros(n, bool)
for i in np.where(arr == 1)[0]:
    if (i + 1) // 2 in primes:
        like_2017[i] = True

like_2017 = like_2017.cumsum()


def cnt_primes(l, r):
    return like_2017[r] - like_2017[l - 1]


ans = []
for _ in range(q):
    tmp = 0
    l, r = map(int, input().split())
    tmp += cnt_primes(l, r)
    ans.append(tmp)

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

Buggy python submission (verdict: Runtime Error):
import bisect

q = int(input())


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 = list(primes)


def is_prime(i):
    p = bisect.bisect_left(primes, i)
    if primes[p] == i:
        return True
    else:
        return False


ans = []
for _ in range(q):
    tmp = 0
    l, r = map(int, input().split())
    tmp += sum([is_prime(x) and is_prime((x + 1) // 2) for x in range(l, r + 1, 2)])
    ans.append(tmp)

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

Fixed submission:
import numpy as np

q = int(input())

# 素数列挙
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)

arr = np.array(list(primes))
arr = np.bincount(arr)

# 素数かつ2017に似た数を列挙
like_2017 = np.zeros(n, bool)
for i in np.where(arr == 1)[0]:
    if (i + 1) // 2 in primes:
        like_2017[i] = True

like_2017 = like_2017.cumsum()


def cnt_primes(l, r):
    return like_2017[r] - like_2017[l - 1]


ans = []
for _ in range(q):
    tmp = 0
    l, r = map(int, input().split())
    tmp += cnt_primes(l, r)
    ans.append(tmp)

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

Buggy python submission (verdict: Runtime Error):
import bisect

q = int(input())


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 = list(primes)


def is_prime(i):
    p = bisect.bisect_left(primes, i)
    if primes[p] == i:
        return True
    else:
        return False


ans = []
for _ in range(q):
    tmp = 0
    l, r = map(int, input().split())
    tmp += sum([is_prime(x) and is_prime((x + 1) // 2) for x in range(l, r + 1, 2)])
    ans.append(tmp)

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

Fixed submission:
import numpy as np

q = int(input())

# 素数列挙
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)

arr = np.array(list(primes))
arr = np.bincount(arr)

# 素数かつ2017に似た数を列挙
like_2017 = np.zeros(n, bool)
for i in np.where(arr == 1)[0]:
    if (i + 1) // 2 in primes:
        like_2017[i] = True

like_2017 = like_2017.cumsum()


def cnt_primes(l, r):
    return like_2017[r] - like_2017[l - 1]


ans = []
for _ in range(q):
    tmp = 0
    l, r = map(int, input().split())
    tmp += cnt_primes(l, r)
    ans.append(tmp)

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

Buggy python submission (verdict: Time Limit Exceeded):
import math

q = int(input())


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 = list(primes)


ans = []
for _ in range(q):
    tmp = 0
    l, r = map(int, input().split())
    for i in range(l, r + 1, 2):
        tmp += i in primes and (i + 1) // 2 in primes
    ans.append(tmp)

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

Fixed submission:
import numpy as np

q = int(input())

# 素数列挙
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)

arr = np.array(list(primes))
arr = np.bincount(arr)

# 素数かつ2017に似た数を列挙
like_2017 = np.zeros(n, bool)
for i in np.where(arr == 1)[0]:
    if (i + 1) // 2 in primes:
        like_2017[i] = True

like_2017 = like_2017.cumsum()


def cnt_primes(l, r):
    return like_2017[r] - like_2017[l - 1]


ans = []
for _ in range(q):
    tmp = 0
    l, r = map(int, input().split())
    tmp += cnt_primes(l, r)
    ans.append(tmp)

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

Buggy python submission (verdict: Time Limit Exceeded):
import math

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


ans = []
for _ in range(q):
    tmp = 0
    l, r = map(int, input().split())
    for i in range(l, r + 1, 2):
        tmp += int(is_prime(i) and is_prime((i + 1) // 2))
    ans.append(tmp)

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

Fixed submission:
import numpy as np

q = int(input())

# 素数列挙
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)

arr = np.array(list(primes))
arr = np.bincount(arr)

# 素数かつ2017に似た数を列挙
like_2017 = np.zeros(n, bool)
for i in np.where(arr == 1)[0]:
    if (i + 1) // 2 in primes:
        like_2017[i] = True

like_2017 = like_2017.cumsum()


def cnt_primes(l, r):
    return like_2017[r] - like_2017[l - 1]


ans = []
for _ in range(q):
    tmp = 0
    l, r = map(int, input().split())
    tmp += cnt_primes(l, r)
    ans.append(tmp)

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