A354526 Numbers k such that A354512(k) < omega(k); complement of A354525.

4, 8, 10, 12, 16, 18, 20, 22, 24, 26, 27, 28, 30, 32, 34, 36, 38, 39, 40, 42, 44, 46, 48, 50, 52, 54, 56, 57, 58, 60, 63, 64, 65, 66, 68, 70, 72, 74, 75, 76, 78, 80, 81, 82, 84, 86, 87, 88, 90, 92, 94, 96, 98, 99, 100, 102, 104, 105, 106, 108, 110, 111, 112, 114, 116, 117

Offset

1,1

Comments

Numbers k such that there is a prime factor p of k such that gpf(k+p) != p.

Numbers k such that there is a prime factor p of k such that k+p is not p-smooth.

Links

Jianing Song, Table of n, a(n) for n = 1..7946 (all terms <= 10000)

Example

57 is a term since the prime factors of 57 are 3,19, and we have gpf(57+3) != 3.

Prog

(PARI) gpf(n) = vecmax(factor(n)[, 1]);
isA354526(n) = my(f=factor(n)[, 1]); for(i=1, #f, if(gpf(n+f[i])!=f[i], return(1))); 0

Crossrefs

Cf. A001221, A354512, A006530. Indices of positive terms in A354527.

Sequence in context: A360668 A038801 A310977 * A337813 A310978 A310979

Adjacent sequences: A354523 A354524 A354525 * A354527 A354528 A354529

Keyword

nonn,easy

Author

Jianing Song, Aug 16 2022

Status

approved