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.

A093599 Composite numbers having an odd number of prime factors, all of which are distinct.

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%I A093599 #31 Feb 16 2025 08:32:53
%S A093599 30,42,66,70,78,102,105,110,114,130,138,154,165,170,174,182,186,190,
%T A093599 195,222,230,231,238,246,255,258,266,273,282,285,286,290,310,318,322,
%U A093599 345,354,357,366,370,374,385,399,402,406,410,418,426,429,430,434,435
%N A093599 Composite numbers having an odd number of prime factors, all of which are distinct.
%C A093599 First differs from A007304 at 2*3*5*7*11 = 2310, which is a(360) and thus beyond the tabulated range.
%C A093599 Subsequence of A030059. - _Bill McEachen_, Nov 06 2020
%H A093599 Carl R. White, <a href="/A093599/b093599.txt">Table of n, a(n) for n = 1..10000</a>
%H A093599 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PrimeSums.html">Prime Sums</a>
%H A093599 Wikipedia, <a href="http://en.wikipedia.org/wiki/M%F6bius_function">Moebius function</a>
%t A093599 Select[Range[435], MoebiusMu[ # ] == -1 && Not[PrimeQ[ # ]] &] (* _Alonso del Arte_, Jan 24 2005 *)
%o A093599 (PARI) is(n)=my(f=factor(n)[,2]); #f>2 && #f%2==1 && vecmax(f)==1 \\ _Charles R Greathouse IV_, Oct 19 2015
%Y A093599 Cf. A007304, A030059.
%K A093599 nonn
%O A093599 1,1
%A A093599 _Eric W. Weisstein_, Apr 03 2004