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Tuesday, September 8, 2009

Euler Problem 27 solution

Time (s): ~0.034
package margusmartseppcode.From_20_to_29;

import java.util.Arrays;
import java.util.HashSet;
import java.util.Set;

public class Problem_27 {
 static Integer prime_k[] = { 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 };

 public static void main(String[] args) {
  int nmax = 0, n, pr = 0;
  Set<Integer> set = new HashSet<Integer>(Arrays.asList(prime_k));

  for (int i = -999; i < 999; i += 2)
   for (int b : prime_k) {
    n = 1;
    while (set.contains(n * n + i * n + b))
     n += 1;
    if (n > nmax) {
     nmax = n;
     pr = i * b;
    }
   }
  System.out.println(pr);
 }
}

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