cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A137230 Composite numbers that are divisible by the number of their prime factors (counted with multiplicity).

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%I A137230 #21 Feb 16 2025 08:33:07
%S A137230 4,6,10,12,14,16,18,22,24,26,27,30,34,36,38,40,42,45,46,56,58,60,62,
%T A137230 63,66,74,75,78,80,82,84,86,88,94,96,99,100,102,104,105,106,114,117,
%U A137230 118,120,122,132,134,136,138,140,142,144,146,147,152,153,156,158,165,166
%N A137230 Composite numbers that are divisible by the number of their prime factors (counted with multiplicity).
%C A137230 k is a term iff {k == 0 (mod BigOmega(k)) and k NOT prime}.
%C A137230 This sequence is obtained from A074946 by excluding all primes from that sequence.
%H A137230 Amiram Eldar, <a href="/A137230/b137230.txt">Table of n, a(n) for n = 1..10000</a>
%H A137230 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PrimeFactor.html">Prime Factor</a>.
%e A137230 k = 3; not a term because not a prime.
%e A137230 k = 4; a term because satisfies both k == 0 (mod bigomega(k)) and k NOT prime.
%t A137230 Select[Range[200], CompositeQ[#] && Divisible[#, PrimeOmega[#]]&] (* _Jean-François Alcover_, Nov 11 2016 *)
%o A137230 (PARI) isok(c) = (c>1) && !isprime(c) && !(c % bigomega(c)); \\ _Michel Marcus_, Feb 28 2023
%Y A137230 Cf. A001222, A002808, A074946.
%K A137230 nonn
%O A137230 1,1
%A A137230 _William A. Tedeschi_, Mar 07 2008
%E A137230 Edited by _Michel Marcus_, Feb 28 2023