A057483 Numbers n such that x^n + x^13 + 1 is irreducible over GF(2).

28, 31, 33, 84, 87, 103, 174, 414, 574, 687, 780, 1111, 1449, 1860, 6964, 7708, 11700, 17428, 19398, 19876, 78391, 131305, 136564, 181684

Offset

1,1

Comments

Any subsequent terms are > 300000.

Links

Table of n, a(n) for n=1..24.

Lucas A. Brown, Python program.

Lucas A. Brown, Sage program.

Prog

(PARI) is(k) = polisirreducible(Mod(1, 2)*(x^k + x^13 + 1)); \\ Jinyuan Wang, Apr 15 2020

Crossrefs

Cf. A002475.

Sequence in context: A083274 A067913 A116566 * A025367 A121018 A232727

Adjacent sequences: A057480 A057481 A057482 * A057484 A057485 A057486

Keyword

nonn,more

Author

Robert G. Wilson v, Sep 27 2000

Extensions

a(11)-a(14) from Jinyuan Wang, Apr 15 2020

a(15)-a(24) from Lucas A. Brown, Nov 29 2022

Status

approved