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Search: id:A129224
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| A129224 |
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Residues of the Lucas - Lehmer primality test for M(23) = 8388607. |
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+0
8
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| 4, 14, 194, 37634, 7031978, 7033660, 1176429, 7643358, 3179743, 2694768, 763525, 4182158, 7004001, 1531454, 5888805, 1140622, 4321431, 7041324, 2756392, 1280050, 6563009, 6107895
(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(21) > 0, M(23) = 8388607 is composite. Mersenne numbers are only prime if a(p-2) = 0.
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LINKS
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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(21)= 6563009^2 - 2 mod 8388607 = 6107895
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CROSSREFS
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Cf. A095847, A003010, A129219, A129220, A129221, A129222, A129223, A129225, A129226, A001348.
Sequence in context: A129221 A129222 A129223 this_sequence A129225 A129226 A003010
Adjacent sequences: A129221 A129222 A129223 this_sequence A129225 A129226 A129227
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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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