A080308 Non-multiples of Fermat numbers 2^(2^n)+1.

1, 2, 4, 7, 8, 11, 13, 14, 16, 19, 22, 23, 26, 28, 29, 31, 32, 37, 38, 41, 43, 44, 46, 47, 49, 52, 53, 56, 58, 59, 61, 62, 64, 67, 71, 73, 74, 76, 77, 79, 82, 83, 86, 88, 89, 91, 92, 94, 97, 98, 101, 103, 104, 106, 107, 109, 112, 113, 116, 118, 121, 122, 124, 127, 128, 131

Offset: 1

Author

Matthew Vandermast, Feb 16 2003

Keywords

• easy
• nonn

Comments

Complement of A080307. A080307 and A080308 each comprise one-half of the integers; see A080307.

It appears that the first 128 terms of this sequence constitute all of the primitive elements of GF(256) if each term is the exponent of the minimum primitive element for the irreducible polynomial splitting GF(2). For example, when GF(2) is split by F(x) = x^8 + x^4 + x^3 + x + 1, the minimum primitive element is a = x + 1. Then the primitive elements of the finite field are a^1, a^2, a^4, a^7, ... - Cody Planteen, Jul 27 2019

Links

• C. Planteen, Primitive elements and irreducible polynomials of GF(256)

Crossrefs

Cf. A000215, A080307.