#!/usr/bin/env python3 # -*- coding: utf-8 -*- import array import functools import heapq import math def segment_sieve(begin, end, typecode="L"): assert begin > 0 if begin == 1: begin = 2 assert begin <= end sqrt_end = math.ceil(math.sqrt(end)) is_prime_small = array.array("B", (True for i in range(sqrt_end))) is_prime_small[0] = False is_prime_small[1] = False is_prime = array.array("B", (True for i in range(end - begin))) for i in range(2, sqrt_end): if is_prime_small[i]: for j in range(2 * i, sqrt_end, i): is_prime_small[j] = False for k in range(max(2, (begin + i - 1) // i) * i, end, i): is_prime[k - begin] = False primes = array.array(typecode, (i for (i, c) in enumerate(is_prime, begin) if c)) return primes @functools.lru_cache(maxsize=None) def compute_hash(i): while i > 9: i = sum(divmod(i, 10)) return i def solve(k, n): primes = segment_sieve(k, n + 1) len_primes = len(primes) candidates = [] for first in range(len_primes): last = first hash_values = {compute_hash(primes[first])} while last < len_primes - 1: last += 1 new_hash_value = compute_hash(primes[last]) if new_hash_value in hash_values: last -= 1 break else: hash_values.add(new_hash_value) heapq.heappush(candidates, (-(last - first + 1), -primes[first])) (_, answer) = heapq.heappop(candidates) return -answer def main(): k = int(input()) n = int(input()) print(solve(k, n)) if __name__ == '__main__': main()