import std.bigint; import std.stdio; immutable 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, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997 ]; bool isPrime(BigInt n) { if (n < 2) { return false; } foreach (p; PRIMES) { if (n == p) { return true; } if (n % p == 0) { return false; } if (p * p > n) { return true; } } for (auto m = BigInt(PRIMES[$ - 1]); m * m <= n ; m += 2) { if (n % m == 0) { return false; } } return true; } // e.g. returns 2341 if n = 1234 BigInt cycle(BigInt n) { BigInt m = n; BigInt p = 1; while (m >= 10) { p *= 10; m /= 10; } return m + 10 * (n % p); } bool isCircularPrime(BigInt p) { if (!isPrime(p)) { return false; } for (auto p2 = cycle(p); p2 != p; p2 = cycle(p2)) { if (p2 < p || !isPrime(p2)) { return false; } } return true; } BigInt repUnit(int len) { BigInt n = 0; while (len > 0) { n = 10 * n + 1; len--; } return n; } void main() { writeln("First 19 circular primes:"); int count = 0; foreach (p; PRIMES) { if (isCircularPrime(BigInt(p))) { if (count > 0) { write(", "); } write(p); count++; } } for (auto p = BigInt(PRIMES[$ - 1]) + 2; count < 19; p += 2) { if (isCircularPrime(BigInt(p))) { if (count > 0) { write(", "); } write(p); count++; } } writeln; }