A057477 Numbers k such that x^k + x^7 + 1 is irreducible over GF(2).

1, 3, 4, 6, 10, 12, 15, 18, 21, 25, 31, 34, 42, 52, 55, 57, 105, 127, 172, 210, 220, 300, 393, 420, 441, 492, 772, 807, 972, 1023, 1071, 1266, 1564, 2220, 2242, 3297, 3585, 5314, 6300, 7306, 8719, 10777, 23647, 26119, 33127, 44247, 48036, 48945, 59172, 68841

Offset

1,2

Comments

The b-file contains all terms <= 300000. - Lucas A. Brown, Nov 28 2022

Links

Lucas A. Brown, Table of n, a(n) for n = 1..58

Lucas A. Brown, Python program.

Lucas A. Brown, Sage program.

Prog

(PARI) is(k) = polisirreducible(Mod(1, 2)*(x^k + x^7 + 1)); \\ Jinyuan Wang, Apr 15 2020

Crossrefs

Cf. A002475.

Sequence in context: A336909 A031132 A322165 * A309317 A249666 A113887

Adjacent sequences: A057474 A057475 A057476 * A057478 A057479 A057480

Keyword

nonn

Author

Robert G. Wilson v, Sep 27 2000

Extensions

a(27)-a(40) from Jinyuan Wang, Apr 15 2020

a(41)-a(58) from Lucas A. Brown, Nov 28 2022

Status

approved