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Search: id:A126662
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| A126662 |
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Numbers n such that 2^(n(n-1)) == 8 mod n. |
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+0
1
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| 28, 292, 553, 5026, 7519, 20062, 50888, 57337, 126532, 337372, 518161, 555448, 757156, 811687, 849583, 1518076, 3623809, 4529623, 6752431, 6908068, 6909961, 7826888, 9568183, 13594936, 16113217, 20766748, 21596722, 28534984, 34462456
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Related to A127931.
Up to 10^9, there are 55 terms (21 odd and 34 even numbers). All except two, 50888 and 7826888, are congruent to 1 mod 3, and none are congruent to 0 mod 3. Is the sequence infinite?
Terms so far are == {1, 4, 7, 8, 10} (mod 12) or {1, 4, 7, 8, 13, 16, 19, 22, 28} (mod 30) and none are == +/-3 (mod 8) nor == 5 (mod 10). - Robert G. Wilson v (rgwv(at)rgwv.com), Feb 12 2007
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LINKS
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Zak Seidov and Robert G. Wilson v, Table of n, a(n) for n = 1..68
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MATHEMATICA
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lst = {}; n = 3; While[n < 10000000000, If[PowerMod[2, n(n - 1), n] == 8, AppendTo[lst, n]; Print@n]; n++ ]; lst (* from Robert G. Wilson v (rgwv(at)rgwv.com), Feb 11 2007 *)
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CROSSREFS
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Cf. A127931.
Sequence in context: A126549 A107418 A027781 this_sequence A107942 A042520 A022688
Adjacent sequences: A126659 A126660 A126661 this_sequence A126663 A126664 A126665
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)gmail.com), Feb 10 2007
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