A129222 Residues of the Lucas - Lehmer primality test for M(17) = 131071.

4, 14, 194, 37634, 95799, 119121, 66179, 53645, 122218, 126220, 70490, 69559, 99585, 78221, 130559, 0

Offset

0,1

Comments

Since a(15) = 0, M(17) = 131071 is prime.

Links

Table of n, a(n) for n=0..15.

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

Wikipedia, Lucas Lehmer Primality Test.

Formula

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

Example

a(15) = 130559^2 - 2 mod 131071 = 0.

Crossrefs

Cf. A095847, A003010, A129219, A129220, A129221, A129223, A129224, A129225, A129226, A001348.

Sequence in context: A132555 A129220 A129221 * A129223 A129224 A129225

Adjacent sequences: A129219 A129220 A129221 * A129223 A129224 A129225

Keyword

fini,full,nonn

Author

Sergio Pimentel, Apr 04 2007

Status

approved