A343108 Numbers having no divisor of the form 8*k + 3.

1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 17, 20, 23, 25, 26, 28, 29, 31, 32, 34, 37, 40, 41, 46, 47, 49, 50, 52, 53, 56, 58, 61, 62, 64, 65, 68, 71, 73, 74, 79, 80, 82, 85, 89, 92, 94, 97, 98, 100, 101, 103, 104, 106, 109, 112, 113, 116, 119, 122, 124, 125, 127, 128

Offset: 1

Author

Jianing Song, Apr 05 2021

Keywords

• nonn
• easy

Comments

Numbers not divisible by at least one of 3, 11, 19, ...

Examples

			7 is a term since it has no divisor congruent to 3 modulo 8.
		

Links

• Jianing Song, Table of n, a(n) for n = 1..10000

Crossrefs

Numbers having m divisors of the form 8*k + i: A343107 (m=1, i=1), this sequence (m=0, i=3), A343109 (m=0, i=5), A343110 (m=0, i=7), A343111 (m=2, i=1), A343112 (m=1, i=3), A343113 (m=1, i=5), A141164 (m=1, i=7).

Indices of 0 in A188170.

Programs

PARI

res(n,a,b) = sumdiv(n, d, (d%a) == b)
isA343108(n) = (res(n,8,3) == 0)