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.
%I A030631 #42 Feb 04 2024 01:13:04 %S A030631 4096,531441,244140625,13841287201,3138428376721,23298085122481, %T A030631 582622237229761,2213314919066161,21914624432020321, %U A030631 353814783205469041,787662783788549761,6582952005840035281,22563490300366186081,39959630797262576401,116191483108948578241 %N A030631 Numbers with 13 divisors. %C A030631 12th powers of primes. The n-th number with p divisors is equal to the n-th prime raised to power p-1, where p is prime. - _Omar E. Pol_, May 06 2008 %H A030631 R. J. Mathar, <a href="/A030631/b030631.txt">Table of n, a(n) for n = 1..1000</a> %F A030631 a(n) = A000040(n)^(13-1) = A000040(n)^(12). - _Omar E. Pol_, May 06 2008 %F A030631 From _Amiram Eldar_, Jan 24 2021: (Start) %F A030631 Product_{n>=1} (1 + 1/a(n)) = zeta(12)/zeta(24) = 218517792968475/(236364091*Pi^12). %F A030631 Product_{n>=1} (1 - 1/a(n)) = 1/zeta(12) = 638512875/(691*Pi^12) = 1/A013670. (End) %t A030631 (Prime@Range@30)^12 (* _Vladimir Joseph Stephan Orlovsky_, Apr 11 2011 *) %o A030631 (Magma) [p^12: p in PrimesUpTo(100)]; // _Vincenzo Librandi_, Mar 27 2014 %o A030631 (PARI) is(n)=isprimepower(n)==12 \\ _Charles R Greathouse IV_, Jun 19 2016 %Y A030631 Cf. A000040, A013670, A030629. %Y A030631 Subsequence of A008456. %K A030631 nonn,easy %O A030631 1,1 %A A030631 _Jeff Burch_