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

Author

Jianing Song, Aug 16 2022

Keywords

• nonn
• easy

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.

Examples

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

Links

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

Crossrefs

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

Programs

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