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Search: id:A018844
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| A018844 |
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Arises from generalized Lucas-Lehmer test for primality. |
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1
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| 4, 10, 52, 724, 970, 10084, 95050, 140452, 1956244, 9313930, 27246964, 379501252, 912670090, 5285770564, 73621286644, 89432354890, 1025412242452, 8763458109130, 14282150107684, 198924689265124
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Apparently this was suggested by an article by R. M. Robinson.
Starting values for Lucas-Lehmer test that result in a zero term (mod Mersenne prime Mp) after P-1 steps. - Jason Follas (jfollas_mersenne(AT)hotmail.com), Aug 01 2004
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LINKS
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Herb Savage et al., Re: Mersenne: starting values for LL-test
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FORMULA
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Union of sequences a_1=4, a_2=52, a_{n}=14*a_{n-1} - a_{n-2} and b_1=10, b_2=970, b_{n}=98*b_{n-1} - b_{n-2}.
a[1]=14 (mod Mp), a[2]=52 (mod Mp), a[n]=(14*a[n-1]-a[n-2]) (mod Mp). - Jason Follas (jfollas_mersenne(AT)hotmail.com), Aug 01 2004
Though originally noted as the union of two sequences, when the first sequence (14*a[n-1]-a[n-2]) is evaluated modulo a Mersenne prime, the terms of the second sequence (98*b[n-1]-b[n-2]) will occur naturally (just not in numerical order). - Jason Follas (jfollas_mersenne(AT)hotmail.com), Aug 01 2004
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CROSSREFS
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Sequence in context: A151611 A032495 A109387 this_sequence A007027 A096423 A013589
Adjacent sequences: A018841 A018842 A018843 this_sequence A018845 A018846 A018847
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v, PhD ATP (rgwv(AT)rgwv.com)
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