A305420 - OEIS

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A305420

Smallest k > n whose binary expansion encodes an irreducible (0,1)-polynomial over GF(2)[X].

2, 3, 7, 7, 7, 7, 11, 11, 11, 11, 13, 13, 19, 19, 19, 19, 19, 19, 25, 25, 25, 25, 25, 25, 31, 31, 31, 31, 31, 31, 37, 37, 37, 37, 37, 37, 41, 41, 41, 41, 47, 47, 47, 47, 47, 47, 55, 55, 55, 55, 55, 55, 55, 55, 59, 59, 59, 59, 61, 61, 67, 67, 67, 67, 67, 67, 73, 73, 73, 73, 73, 73, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 91

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OFFSET

1,1

COMMENTS

a(n) is the smallest term of A014580 greater than n.

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..21845

Index entries for sequences related to polynomials in ring GF(2)[X]

FORMULA

For n >= 1, a(n) = A091228(1+n).

PROG

(PARI)