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Search: id:A129226
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| A129226 |
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Residues of the Lucas - Lehmer primality test for M(31) = 2147483647. |
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+0
8
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| 4, 14, 194, 37634, 1416317954, 669670838, 1937259419, 425413602, 842014276, 12692426, 2044502122, 1119438707, 1190075270, 1450757861, 877666528, 630853853, 940321271, 512995887, 692931217, 1883625615, 1992425718
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Since a(29) = 0, M(31) = 2147483647 is prime. 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..29
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(29)= 65536^2 - 2 mod 2147483647 = 0
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CROSSREFS
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Cf. A095847, A003010, A129219, A129220, A129221, A129222, A129223, A129224, A129225, A001348.
Sequence in context: A129223 A129224 A129225 this_sequence A003010 A118770 A112514
Adjacent sequences: A129223 A129224 A129225 this_sequence A129227 A129228 A129229
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KEYWORD
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fini,nonn
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AUTHOR
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Sergio Pimentel (ferdiego(AT)suddenlink.net), Apr 04 2007
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