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A343110 Numbers having no divisor of the form 8*k + 7. 8
1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 16, 17, 18, 19, 20, 22, 24, 25, 26, 27, 29, 32, 33, 34, 36, 37, 38, 40, 41, 43, 44, 48, 50, 51, 52, 53, 54, 57, 58, 59, 61, 64, 65, 66, 67, 68, 72, 73, 74, 76, 80, 81, 82, 83, 85, 86, 88, 89, 96, 97, 99, 100, 101, 102 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Numbers not divisible by at least one of 7, 15, 23, ...
LINKS
EXAMPLE
9 is a term since it has no divisor congruent to 7 modulo 8.
PROG
(PARI) res(n, a, b) = sumdiv(n, d, (d%a) == b)
isA343110(n) = (res(n, 8, 7) == 0)
CROSSREFS
Numbers having m divisors of the form 8*k + i: A343107 (m=1, i=1), A343108 (m=0, i=3), A343109 (m=0, i=5), this sequence (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 A188172.
Sequence in context: A004765 A247063 A003726 * A337582 A004828 A032895
KEYWORD
nonn,easy
AUTHOR
Jianing Song, Apr 05 2021
STATUS
approved

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Last modified February 22 15:38 EST 2024. Contains 370256 sequences. (Running on oeis4.)