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 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified September 18 23:40 EDT 2024. Contains 376002 sequences. (Running on oeis4.)