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A129225 Residues of the Lucas - Lehmer primality test for M(29) = 536870911. 8
4, 14, 194, 37634, 342576132, 250734296, 433300702, 16341479, 49808751, 57936161, 211467447, 71320725, 91230447, 153832672, 217471443, 239636427, 223645010, 90243197, 27374393, 490737401, 35441039, 303927542, 202574536 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Since a(27) > 0, M(29) = 536870911 is composite. Mersenne numbers are only prime if a(p-2) = 0.

LINKS

Dennis Martin, Table of n, a(n) for n = 1..27

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(27)= 365171774^2 - 2 mod 536870911 = 458738443

CROSSREFS

Cf. A095847, A003010, A129219, A129220, A129221, A129222, A129223, A129224, A129226, A001348.

Sequence in context: A129222 A129223 A129224 * A129226 A003010 A118770

Adjacent sequences:  A129222 A129223 A129224 * A129226 A129227 A129228

KEYWORD

fini,nonn

AUTHOR

Sergio Pimentel, Apr 04 2007

STATUS

approved

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Last modified April 16 21:07 EDT 2014. Contains 240627 sequences.