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A057488 Numbers n such that x^n + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 is irreducible over GF(2). +0
1
12, 13, 18, 23, 26, 28, 41, 47, 58, 74, 89, 111, 114, 119, 138, 159, 250, 303, 305, 345, 433, 434, 474, 497, 548, 601, 628 (list; graph; listen)
OFFSET

1,1

MATHEMATICA

Do[ If[ ToString[ Factor[ x^n + Sum[ x^m, {m, 0, 11} ], Modulus -> 2 ] ] == ToString[ x^n + Sum[ x^m, {m, 0, 11} ] ], Print[ n ] ], {n, 0, 750} ]

CROSSREFS

Sequence in context: A102496 A003894 A084622 this_sequence A105733 A035123 A123132

Adjacent sequences: A057485 A057486 A057487 this_sequence A057489 A057490 A057491

KEYWORD

nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 28 2000

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


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