Buggy python submission (verdict: Time Limit Exceeded):
'''
https://atcoder.jp/contests/abc084/tasks/abc084_d
'''
def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10000000)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations
    #from itertools import accumulate, product
    from bisect import bisect_left,bisect_right
    import heapq
    from math import floor, ceil
    #from operator import itemgetter

    #inf = 10**17
    #mod = 1000000007

    def primecheck(n):
        p = [True] * (n + 1)
        p[0] = False
        p[1] = False
        for i in range(2, int(n ** 0.5) + 1):
            if p[i]:
                for j in range(i * i, n + 1, i):
                    p[j] = False
        return p
    
    p = primecheck(10**5)

    q = int(input())
    for _ in range(q):
        l, r = map(int, input().split())
        res = 0
        for i in range(l, r+1, 2):
            if p[i]==p[(i+1)//2]==1:
                res += 1
        print(res)

if __name__ == '__main__':
    main()

Fixed submission:
'''
https://atcoder.jp/contests/abc084/tasks/abc084_d
'''
def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10000000)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations
    #from itertools import accumulate, product
    from bisect import bisect_left,bisect_right
    import heapq
    from math import floor, ceil
    #from operator import itemgetter

    #inf = 10**17
    #mod = 1000000007

    def primecheck(n):
        p = [True] * (n + 1)
        p[0] = False
        p[1] = False
        for i in range(2, int(n ** 0.5) + 1):
            if p[i]:
                for j in range(i * i, n + 1, i):
                    p[j] = False
        return p
    
    p = primecheck(10**5)
    cnt = 0
    res = [0]*(10**5)
    for i in range(10**5):
        if p[i]==p[(i+1)//2]==1:
            cnt += 1
        res[i] = cnt


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

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
'''
https://atcoder.jp/contests/abc084/tasks/abc084_d
'''
def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10000000)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations
    #from itertools import accumulate, product
    from bisect import bisect_left,bisect_right
    import heapq
    from math import floor, ceil
    #from operator import itemgetter

    #inf = 10**17
    #mod = 1000000007

    def prime_decomp(n):
        i = 2
        res = []
        while i ** 2 <= n:
            while n % i==0:
                n //= i
                res.append(i)
            i += 1
        if n > 1:
            res.append(n)
        return res
    
    q = int(input())
    for _ in range(q):
        l, r = map(int, input().split())
        res = 0
        for i in range(l, r+1, 2):
            if len(prime_decomp(i))==1:
                if len(prime_decomp((i+1)//2))==1:
                    res += 1
        print(res)

if __name__ == '__main__':
    main()

Fixed submission:
'''
https://atcoder.jp/contests/abc084/tasks/abc084_d
'''
def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10000000)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations
    #from itertools import accumulate, product
    from bisect import bisect_left,bisect_right
    import heapq
    from math import floor, ceil
    #from operator import itemgetter

    #inf = 10**17
    #mod = 1000000007

    def primecheck(n):
        p = [True] * (n + 1)
        p[0] = False
        p[1] = False
        for i in range(2, int(n ** 0.5) + 1):
            if p[i]:
                for j in range(i * i, n + 1, i):
                    p[j] = False
        return p
    
    p = primecheck(10**5)
    cnt = 0
    res = [0]*(10**5)
    for i in range(10**5):
        if p[i]==p[(i+1)//2]==1:
            cnt += 1
        res[i] = cnt


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

if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
'''
https://atcoder.jp/contests/abc084/tasks/abc084_d
'''
def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10000000)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations
    #from itertools import accumulate, product
    from bisect import bisect_left,bisect_right
    import heapq
    from math import floor, ceil
    #from operator import itemgetter

    #inf = 10**17
    #mod = 1000000007

    def prime_decomp(n):
        i = 2
        res = []
        while i ** 2 <= n:
            while n % i==0:
                n //= i
                res.append(i)
            i += 1
        if n > 1:
            res.append(n)
        return res
    
    q = int(input())
    for _ in range(q):
        l, r = map(int, input().split())
        res = 0
        for i in range(l, r+1, 2):
            if len(prime_decomp(i))==1:
                if len(prime_decomp((i+1)//2))==1:
                    res += 1
        print(res)

if __name__ == '__main__':
    main()

Fixed submission:
'''
https://atcoder.jp/contests/abc084/tasks/abc084_d
'''
def main():
    import sys
    input = sys.stdin.readline
    sys.setrecursionlimit(10000000)
    from collections import Counter, deque
    #from collections import defaultdict
    from itertools import combinations, permutations
    #from itertools import accumulate, product
    from bisect import bisect_left,bisect_right
    import heapq
    from math import floor, ceil
    #from operator import itemgetter

    #inf = 10**17
    #mod = 1000000007

    def primecheck(n):
        p = [True] * (n + 1)
        p[0] = False
        p[1] = False
        for i in range(2, int(n ** 0.5) + 1):
            if p[i]:
                for j in range(i * i, n + 1, i):
                    p[j] = False
        return p
    
    p = primecheck(10**5)
    cnt = 0
    res = [0]*(10**5)
    for i in range(10**5):
        if p[i]==p[(i+1)//2]==1:
            cnt += 1
        res[i] = cnt


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

if __name__ == '__main__':
    main()