#include #include using namespace std; #define MAX (1LL<<36) // 8Gb bitset *seen = 0; // first primes (with a zero at the end!) long long primes[] = { 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 0 }; // multiples of first primes long long mult [] = { 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 0 }; int main() { seen = new bitset; if (!seen) { cerr << "# not enoug memory" << endl; return 1; } cout << 1 << ' ' << 2 << endl; long long pp, p; for (long long n=1;; n++) { long long v; if (n <= 2) { v = n; } else { for (int i=0;; i++) { if (!primes[i]) { goto end; } if (pp % primes[i] && p % primes[i]) { while (seen->test(mult[i])) { mult[i] += primes[i]; if (mult[i] >= MAX) { goto end; } } v = mult[i]; if (v==primes[i]) { cout << (i+1) << ' ' << n << endl; } break; } } } seen->set(v); pp = p; p = v; } end: delete seen; seen = 0; return 0; }