A057488 Numbers k>11 such that x^k + 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).

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, 695, 711, 898, 1348, 3266, 3721, 5255, 7138, 7378, 8084, 8927, 13111, 22017, 35586, 59946, 79921, 83113, 84818, 89732, 94588, 123599

Offset

1,1

Links

Table of n, a(n) for n=1..48.

Prog

(PARI) isok(n) = polisirreducible(Mod(1, 2)*x^n+(x^12-1)/(x-1)); \\ Michel Marcus, Apr 15 2020

Crossrefs

Sequence in context: A241748 A298591 A225102 * A105733 A035123 A140212

Adjacent sequences: A057485 A057486 A057487 * A057489 A057490 A057491

Keyword

nonn

Author

Robert G. Wilson v, Sep 28 2000

Extensions

a(28)-a(34) from Jinyuan Wang, Apr 15 2020

a(35)-a(48) from Lucas A. Brown, Nov 29 2022

Status

approved