123 Prime square remainders.sf 383 B

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  1. #!/usr/bin/ruby
  2. # Author: Trizen
  3. # Date: 17 August 2016
  4. # Translated: 16 November 2023
  5. # https://github.com/trizen
  6. # https://projecteuler.net/problem=123
  7. # Runtime: 0.504s
  8. var n = 7037
  9. for (var p = nth_prime(n); true; (p.next_prime!; ++n)) {
  10. var s = p.sqr
  11. var r = addmod(powmod(p-1, n, s), powmod(p+1, n, s), s)
  12. if (r > 1e10) {
  13. say n
  14. break
  15. }
  16. }