

A354526


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


4



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
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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 psmooth.


LINKS



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



KEYWORD

nonn,easy


AUTHOR



STATUS

approved



