A299956 Prime numbers not in A299930.

2, 3, 5, 7, 11, 13, 17, 23, 29, 31, 41, 43, 47, 53, 59, 61, 67, 71, 73, 83, 89, 101, 103, 107, 113, 131, 137, 149, 151, 157, 167, 173, 179, 181, 191, 193, 197, 199, 211, 227, 233, 239, 241, 251, 257, 263, 269, 271, 281, 293, 307, 311, 317, 331, 337, 347, 353, 359

Offset

1,1

Comments

These prime numbers cannot be represented by a cyclotomic binary form f as p = f(x,y) with x and y odd prime numbers and x > y. Apart from 2 they appear as the leafs of cbf-trees introduced in A299930.

Links

Table of n, a(n) for n=1..58.

Prog

(Julia)
isA299956(n) = isprime(ZZ(n)) && !isA299930(n)
A299956list(upto) = [n for n in 1:upto if isA299956(n)]
println(A299956list(1000))

Crossrefs

Cf. A293654, A296095, A299214, A299498, A299733, A299928, A299929, A299930, A299964.

Sequence in context: A162855 A194954 A344384 * A372629 A368732 A192503

Adjacent sequences: A299953 A299954 A299955 * A299957 A299958 A299959

Keyword

nonn

Author

Peter Luschny, Feb 25 2018

Status

approved