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.

A190465 Numbers with prime factorization p^5q^5.

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%I A190465 #15 Jul 06 2020 02:42:05
%S A190465 7776,100000,537824,759375,4084101,5153632,11881376,39135393,45435424,
%T A190465 52521875,79235168,90224199,205962976,345025251,503284375,601692057,
%U A190465 656356768,916132832,1160290625,1564031349,2219006624,2706784157,3707398432
%N A190465 Numbers with prime factorization p^5q^5.
%H A190465 T. D. Noe, <a href="/A190465/b190465.txt">Table of n, a(n) for n = 1..1000</a>
%H A190465 Will Nicholes, <a href="http://willnicholes.com/math/primesiglist.htm">Prime Signatures</a>
%F A190465 Sum_{n>=1} 1/a(n) = (P(5)^2 - P(10))/2 = (A085965^2 - P(10))/2 = 0.000142..., where P is the prime zeta function. - _Amiram Eldar_, Jul 06 2020
%t A190465 f[n_]:=Sort[Last/@FactorInteger[n]]=={1,1}; Select[Range[10000],f]^5
%o A190465 (PARI) list(lim)=my(v=List(),t);forprime(p=2, lim^(1/10), t=p^5;forprime(q=p+1, (lim\t)^(1/5), listput(v,t*q^5))); vecsort(Vec(v)) \\ _Charles R Greathouse IV_, Jul 20 2011
%Y A190465 Cf. A179699, A179705, A190464.
%Y A190465 Cf. A085965.
%K A190465 nonn
%O A190465 1,1
%A A190465 _Vladimir Joseph Stephan Orlovsky_, May 10 2011