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A100331 Positive integers n such that n^6+n^5+n^4+n^3+n^2+n-1 is prime. +0
2
1, 3, 9, 15, 18, 20, 28, 33, 55, 65, 68, 84, 88, 98, 109, 115, 119, 120, 124, 129, 134, 135, 140, 159, 165, 173, 185, 188, 190, 205, 223, 239, 264, 270, 275, 278, 288, 295, 305, 308, 323, 329, 350, 368, 370, 388, 409, 460, 464, 499, 510, 525, 540, 565, 579, 593 (list; graph; listen)
OFFSET

1,2

EXAMPLE

3 is in the sequence because 3^6+3^5+3^4+3^3+3^2+3-1 = 1091 which is prime.

MATHEMATICA

Select[Range[600], PrimeQ[Sum[ #^i, {i, 6}] - 1] &] (Ray Chandler (rayjchandler(AT)sbcglobal.net), Nov 17 2004)

CROSSREFS

Cf. A100330.

Sequence in context: A085328 A062220 A043381 this_sequence A071123 A071347 A093414

Adjacent sequences: A100328 A100329 A100330 this_sequence A100332 A100333 A100334

KEYWORD

nonn

AUTHOR

Ray G. Opao (1260(AT)email.com), Nov 16 2004

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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