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A127643 Composite numbers n such that n divides A123591(n) = ((2^n - 1)^(2^n) - 1)/(2^n)^2. +0
2
15, 51, 65, 85, 185, 221, 255, 341, 451, 533, 561, 595, 645, 679, 771, 1059, 1095, 1105, 1271, 1285, 1313, 1387, 1455, 1581, 1729, 1905, 2045, 2047, 2091, 2307, 2465, 2701, 2755, 2821, 2895, 3201, 3205, 3277, 3281, 3341, 3603, 3655, 3723, 3855, 4033, 4039 (list; graph; listen)
OFFSET

1,1

COMMENT

p divides A123591(p) for prime p>2.

MATHEMATICA

Do[f=PowerMod[(2^n-1), (2^n), n]-1; If[ !PrimeQ[n]&&IntegerQ[(n+1)/2]&&IntegerQ[f/n], Print[n]], {n, 2, 10000}]

CROSSREFS

Cf. A123591, A085606.

Sequence in context: A029941 A075928 A020214 this_sequence A020144 A075933 A075929

Adjacent sequences: A127640 A127641 A127642 this_sequence A127644 A127645 A127646

KEYWORD

nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Jan 22 2007

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Last modified September 6 00:03 EDT 2008. Contains 143485 sequences.


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