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Search: id:A161509
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| A161509 |
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The unique primitive prime factor of 2^n-1 for the n in A161508. |
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+0
2
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| 3, 7, 5, 31, 127, 17, 73, 11, 13, 8191, 43, 151, 257, 131071, 19, 524287, 41, 337, 683, 241, 2731, 262657, 331, 2147483647, 65537, 599479, 43691, 174763, 61681, 5419, 2796203, 4432676798593, 87211, 15790321, 2305843009213693951, 715827883
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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For these primes p, the binary expansion of 1/p has a unique period length. The binary analogue of A007615.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..100
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MATHEMATICA
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Reap[Do[c=Cyclotomic[n, 2]; q=c/GCD[c, n]; If[PrimePowerQ[q], Sow[FactorInteger[q][[1, 1]]]], {n, 100}]][[2, 1]]
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CROSSREFS
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A144755 (sorted)
Sequence in context: A048857 A005420 A161818 this_sequence A108974 A106853 A083778
Adjacent sequences: A161506 A161507 A161508 this_sequence A161510 A161511 A161512
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KEYWORD
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nonn
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), Jun 17 2009
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