

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
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OFFSET

0,1


COMMENTS

Since a(27) > 0, M(29) = 536870911 is composite. Mersenne numbers are only prime if a(p2) = 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(n1)^2 mod 2^p1 Last term: a(p2)


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



