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.

A085274 Composite k such that (k!/k#) + 1 is a semiprime, where k# = primorial numbers A034386.

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%I A085274 #10 Jun 30 2020 03:14:38
%S A085274 6,10,21,22,24,25,27,30,39,48,52,57,65,87,94,110,114,124,156,161
%N A085274 Composite k such that (k!/k#) + 1 is a semiprime, where k# = primorial numbers A034386.
%C A085274 n!/n# is called n compositorial. The actual sequence is (6,7),(10,11),21,(22,23),24,25,27,(30,31),39,48, (52,53),57,65,... where the values in parenthesis yield the same semiprime.
%C A085274 That is, since p!/p# = (p-1)!/(p-1)#, primes never appear in this sequence. - _Sean A. Irvine_, Jun 30 2020
%H A085274 Hisanori Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/mathland/matha1/compo_p.htm">Compositorial + 1 (n = 4 to 150)</a>.
%e A085274 25!/25# + 1 is a product of two primes: 69528040243200001 = 2594807 * 26795071943.
%Y A085274 Cf. A001358, A049420, A049614.
%K A085274 nonn
%O A085274 1,1
%A A085274 _Jason Earls_, Aug 12 2003
%E A085274 More terms from _Robert G. Wilson v_, Aug 15 2003
%E A085274 Offset corrected and a(19) and a(20) from _Sean A. Irvine_, Jun 30 2020