A057482 Numbers n such that x^n + x^12 + 1 is irreducible over GF(2).

3, 5, 7, 9, 17, 49, 97, 257, 425, 895, 1385, 4807, 11303, 25175, 103943, 104975, 161993, 282455

Offset: 1

Author

Robert G. Wilson v, Sep 27 2000

Keywords

• nonn
• more

Comments

Any subsequent terms are > 300000.

Links

• Lucas A. Brown, Python program.
• Lucas A. Brown, Sage program.

Crossrefs

Cf. A002475.

Programs

PARI

is(k) = polisirreducible(Mod(1, 2)*(x^k + x^12 + 1)); \\ Jinyuan Wang, Apr 15 2020

Extensions

a(10)-a(11) from Jinyuan Wang, Apr 15 2020

a(12)-a(18) from Lucas A. Brown, Nov 29 2022