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.

A143026 Positive integers k such that the fourth power of the number of positive divisors of k equals k.

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%I A143026 #19 Nov 07 2023 11:17:52
%S A143026 1,625,6561,4100625
%N A143026 Positive integers k such that the fourth power of the number of positive divisors of k equals k.
%C A143026 625=5^4, 6561=3^8, 4100625=(3^8)(5^4).
%C A143026 There are no more terms in the sequence.
%D A143026 T. Andreescu, D. Andrica and Z. Feng, 104 Number Theory Problems (from the training of the USA IMO team), Birkhäuser, Boston, 2007, Advanced problem # 19, pp. 85, 145, 146.
%D A143026 Roozbeh Hazrat, Mathematica: A Problem-Centered Approach, Springer 2010, p. 39.
%e A143026 625 has 5 divisors (1, 5, 25, 125 and 625) and 5^4 = 625.
%t A143026 Select[Range[4200000],DivisorSigma[0,#]^4==#&] (* _Harvey P. Dale_, Oct 17 2011 *)
%Y A143026 Cf. A066693, A180936.
%K A143026 fini,nonn,full
%O A143026 1,2
%A A143026 _Emeric Deutsch_, Aug 11 2008
%E A143026 Second reference added by _Harvey P. Dale_, Oct 17 2011