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

Author

Robert G. Wilson v, Sep 27 2000

Keywords

• nonn

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.

Crossrefs

Cf. A002475.

Programs

PARI

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

Extensions

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

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