A086339 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.

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

Offset

1,1

Links

Table of n, a(n) for n=1..35.

Mathematica

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}]

Crossrefs

Cf. A057751.

Sequence in context: A075235 A020634 A173555 * A333364 A332787 A181173

Adjacent sequences: A086336 A086337 A086338 * A086340 A086341 A086342

Keyword

nonn

Author

Robert G. Wilson v, Sep 01 2003

Status

approved