from collections import defaultdict class Eratosthenes(): def __init__(self, size): self.size = size self.isprime = [True] * size self.minfactor = [-1] * size self.mobius = [1] * size self.isprime[1] = False self.minfactor[1] = 1 self.eratosthenes() # 初めに篩にかけて,minfactorとisprimeを生成 def eratosthenes(self): for p in range(2, self.size): if not self.isprime[p]: continue self.minfactor[p] = p self.mobius[p] = -1 for q in range(p+p, self.size, p): self.isprime[q] = False if self.minfactor[q] == -1: self.minfactor[q] = p if (q//p) % p == 0: self.mobius[q] = 0 else: self.mobius[q] = -self.mobius[q] # 高速素因数分解 def prime_factorize(self, number): assert 1 <= number <= self.size factors = defaultdict(int) while number != 1: factors[self.minfactor[number]] += 1 number //= self.minfactor[number] return factors # 高速約数列挙 def divisors(self, number): res = [1] factors = self.prime_factorize(number) for p, cnt in factors.items(): # 追加前の大きさを保存 res_size = len(res) for i in range(res_size): pp = 1 for j in range(cnt): pp *= p res.append(res[i]*pp) return res L, R = map(int, input().split()) er = Eratosthenes(2*10**6+10) ans = 0 for a in range(L, R+1): for b in range(a, a+2): if a != b and er.isprime[a+b]: ans += 1 elif a == b and er.isprime[a]: ans += 1 if er.isprime[2*R+1]: ans -= 1 print(ans)