#include using u32 = std::uint32_t; using u64 = std::uint64_t; template bool chmax(T &a, const T b) { if (b > a) { a = b; return false; } return true; } u64 useless_hash(u64 n) { return (n == 0) ? 0 : ((n % 9 == 0) ? 9 : n % 9); } #define MAX 200200 const u32 block_size = 1 << 19; u32 s_inner, prime_cnt_inner, sq_inner[65536], sp_inner[65536], primes_inner[26500010]; u64 wheel_inner[15015], is_composite_inner[8192], mask_inner[12][62][8192]; inline void setbit_(u64* ar, u32 bit) { ar[bit >> 6] |= (1ull << (bit & 63));} inline u32 get_idx_(u32 i, u32 j) { if (sq_inner[j] > i) return (sq_inner[j] - i) >> 1; u32 x = sp_inner[j] - i % sp_inner[j]; if (!(x & 1)) x += sp_inner[j]; return x >> 1; } void small_sieve_() { for (u32 i = 2; i * i < 65536; i++) for (u32 j = i * i; j < 65536 && !sp_inner[i]; j += i) sp_inner[j] = 1; for (u32 i = 2; i < 65536; i++) if (!sp_inner[i]) sp_inner[s_inner] = i, sq_inner[s_inner++] = i * i; } void process_block_(u32 i) { u32 j, k, l, d, m, x, lim = i + block_size, idx = i % 15015, chunk = 0; idx = (idx + ((idx * 105) & 127) * 15015) >> 7; for (j = 0; (j << 7) < block_size; j += chunk, idx = 0) { chunk = std::min(15015 - idx, (block_size >> 7) - j); memcpy(is_composite_inner + j, wheel_inner + idx, sizeof(u64) * chunk); } if (!i) is_composite_inner[0] = (is_composite_inner[0] | 1) & ~110ULL; l = block_size >> 1, m = block_size >> 7; for (j = 6; j < 18 && i; j++) for (x = get_idx_(i, j), k = 0, d = j - 6; k < m; k++) is_composite_inner[k] |= mask_inner[d][x][k]; for (j = (i == 0) ? 6 : 18; j < s_inner && sq_inner[j] < lim; j++) for (x = get_idx_(i, j); x < l; x += sp_inner[j]) setbit_(is_composite_inner, x); } void populate_primes_(u32 i, u32 n) { for (u32 j = 0; (j << 7) < block_size; j++) { u64 x = ~is_composite_inner[j]; while (x) { u32 p = i + (j << 7) + (__builtin_ctzll(x) << 1) + 1; if (p <= n) primes_inner[prime_cnt_inner++] = p; x ^= (-x & x); } } } void fast_sieve_(u32 n) { small_sieve_(); for (u32 i = 1; i <= 5; i++) for (u32 j = i + (i > 3); j < 960960; j += sp_inner[i]) setbit_(wheel_inner, j); for (u32 i = 6; i <= 17; i++) for (u32 j = 0; j < sp_inner[i]; j++) for (u32 k = j; k < (block_size >> 1); k += sp_inner[i]) setbit_(mask_inner[i - 6][j], k); if (n >= 2) primes_inner[prime_cnt_inner++] = 2; for (u32 i = 0; i <= n; i += block_size) { process_block_(i); populate_primes_(i, n); } } std::vector enumerate_primes(u32 k, u32 n, u32 a = 1, u32 b = 0) { fast_sieve_(n); std::vector res; for (u32 u = b; u < prime_cnt_inner; u += a) { if (primes_inner[u] >= k) { res.push_back(primes_inner[u]); } } return res; } int solver(u32 k, u32 n) { auto t = enumerate_primes(k, n); std::vector> p; for (u32 i = 0; i < static_cast(t.size()); ++i) { p.emplace_back(t[i], useless_hash(t[i])); } int maxv = 0, ans = 0, l2 = -1; std::vector t2(10, -1); for (int i = 0; i < p.size(); i++) { chmax(l2, t2[p[i].second]); if (i - l2 >= maxv) { maxv = i - l2; ans = p[l2 + 1].first; } t2[p[i].second] = i; } return ans; } bool is_space(int ch) { return ch == ' ' || ch == '\n' || ch == '\t' || ch == '\r' || ch == '\f' || ch == '\v'; } bool is_digit(int ch) { return ch == '1' || ch == '2' || ch == '3' || ch == '4' || ch == '5' || ch == '6' || ch == '7' || ch == '8' || ch == '9' || ch == '0'; } u32 read_int() { u32 ret = 0; int ch = getchar_unlocked(); while (is_space(ch)) ch = getchar_unlocked(); for (; is_digit(ch); ch = getchar_unlocked()) ret = (ret * 10) + (ch - '0'); ungetc(ch, stdin); return ret; } int main() { u32 k = read_int(); u32 n = read_int(); printf("%d", solver(k, n)); return 0; }