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A129221 Residues of the Lucas - Lehmer primality test for M(13) = 8191. +0
8
4, 14, 194, 4870, 3953, 5970, 1857, 36, 1294, 3470, 128, 0 (list; graph; listen)
OFFSET

0,1

COMMENT

Since a(11) = 0, M(13) = 8191 is prime.

LINKS

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(11)= 128^2 - 2 mod 8191 = 16382 mod 8191 = 0

CROSSREFS

Cf. A095847, A003010, A129219, A129220, A129222, A129223, A129224, A129225, A129226, A001348.

Adjacent sequences: A129218 A129219 A129220 this_sequence A129222 A129223 A129224

Sequence in context: A080986 A132555 A129220 this_sequence A129222 A129223 A129224

KEYWORD

fini,full,nonn

AUTHOR

Sergio Pimentel (ferdiego(AT)suddenlink.net), Apr 04 2007

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Last modified October 12 14:39 EDT 2008. Contains 144830 sequences.


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