A129223 Residues of the Lucas - Lehmer primality test for M(19) = 524287.

4, 14, 194, 37634, 218767, 510066, 386344, 323156, 218526, 504140, 103469, 417706, 307417, 382989, 275842, 85226, 523263, 0

Offset: 0

Author

Sergio Pimentel, Apr 04 2007

Keywords

• fini
• full
• nonn

Comments

Since a(17) = 0, M(19) = 524287 is prime.

Examples

			a(17) = 523263^2 - 2 mod 524287 = 0.
		

Links

• Eric Weisstein's World of Mathematics, Lucas Lehmer Test.
• Wikipedia, Lucas Lehmer Primality Test.

Crossrefs

Cf. A095847, A003010, A129219, A129220, A129221, A129222, A129224, A129225, A129226, A001348.

Formula

a(0) = 4, a(n) = a(n-1)^2 mod 2^p-1. Last term: a(p-2).