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A129225
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Residues of the Lucas - Lehmer primality test for M(29) = 536870911.
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8
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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
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0,1
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COMMENTS
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Since a(27) > 0, M(29) = 536870911 is composite. Mersenne numbers are only prime if a(p-2) = 0.
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LINKS
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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).
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FORMULA
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a(0) = 4 a(n) = a(n-1)^2 mod 2^p-1 Last term: a(p-2)
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EXAMPLE
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a(27)= 365171774^2 - 2 mod 536870911 = 458738443
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CROSSREFS
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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
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KEYWORD
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fini,nonn
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AUTHOR
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Sergio Pimentel, Apr 04 2007
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STATUS
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approved
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