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.

A218558 Next number that is the product of exactly three (not necessarily distinct) primes, after 10*n.

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%I A218558 #12 Aug 30 2017 03:01:37
%S A218558 8,12,27,42,42,52,63,75,92,92,102,114,124,138,147,153,164,171,182,195,
%T A218558 207,212,222,231,242,255,261,273,282,292,310,316,322,332,343,354,363,
%U A218558 374,385,399,402,412,423,434,442,452,465,474,483,494,506
%N A218558 Next number that is the product of exactly three (not necessarily distinct) primes, after 10*n.
%C A218558 This is to "triprimes" A014612 as A185008 is to semiprimes A001358, and as A218255 is to primes A000040.
%C A218558 The first equal terms are a(4) = a(5) = 42. The density of numbers n such that a(n) = a(n+1) is 1. Similarly, the density of numbers n such that a(n) = a(n+1) = ... = a(n+k) is 1 for any fixed k. - _Charles R Greathouse IV_, Aug 30 2017
%F A218558 a(n) = MIN[k in A014612 and k > 10*n = A008592(n)].
%e A218558 a(0) = 8, the first number that is the product of exactly three (not necessarily distinct) primes.
%e A218558 a(1) = 12 = 2^2 * 3, which is >10*1=10.
%e A218558 a(3) = 42 even though 30 = 2*3*5 is a "triprime" because we use ">" rather that ">=" in the definition.
%o A218558 (PARI) a(n)=n*=10; while(bigomega(n++)!=3, ); n \\ _Charles R Greathouse IV_, Aug 30 2017
%Y A218558 Cf. A008592, A014612, A218255, A185008.
%K A218558 nonn,easy
%O A218558 1,1
%A A218558 _Jonathan Vos Post_, Nov 02 2012
%E A218558 Offset corrected by _Charles R Greathouse IV_, Aug 30 2017