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Search: id:A086339
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| A086339 |
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Irreducible trinomials of prime degree for some k: x^p + x^k + 1 is irreducible over GF(5) for at least one k, p>k>0. |
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1
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| 2, 3, 7, 11, 13, 17, 19, 23, 29, 31, 41, 43, 59, 61, 79, 83, 89, 101, 107, 139, 149, 151, 163, 167, 179, 223, 227, 229, 277, 281, 283, 331, 347, 353, 379
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OFFSET
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1,1
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MATHEMATICA
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Do[ k = 1; While[ ToString[ Factor[ x^Prime[n] + x^k + 1, Modulus -> 5]] != ToString[ x^Prime[n] + x^k + 1] && k < (Prime[n] + 1)/2, k++ ]; If[k != (Prime[n] + 1)/2, Print[ Prime[n]]], {n, 1, 75}]
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CROSSREFS
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Cf. A057751.
Sequence in context: A038613 A075235 A020634 this_sequence A089174 A020636 A071200
Adjacent sequences: A086336 A086337 A086338 this_sequence A086340 A086341 A086342
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 01 2003
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