A129220 Residues of the Lucas - Lehmer primality test for M(11) = 2047.

4, 14, 194, 788, 701, 119, 1877, 240, 282, 1736

Offset: 0

Author

Sergio Pimentel, Apr 05 2007

Keywords

• fini
• full
• nonn

Comments

Since a(9) > 0, M(11) is composite. In fact, 2047 = 23 * 89

Examples

			a(9) = a(8)^2 - 2 mod 2047 = 282^2 - 2 mod 2047 = 1736.
		

Links

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

Crossrefs

Cf. A095847, A003010, A129218, A129219, A129221, A129222, A129223, A129224, A129225, A129226, A001348.

Formula

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

Extensions

Offset corrected by Nathaniel Johnston, May 31 2011