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.

A244344 Numbers such that the largest prime factor equals the sum of the 4th power of the other prime factors.

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%I A244344 #16 Jan 22 2022 00:08:12
%S A244344 582,1164,1746,2328,3492,4656,5238,6410,6984,9312,10476,12820,13968,
%T A244344 15714,18624,20952,25640,27936,31428,32050,33838,37248,41904,47142,
%U A244344 51280,55872,56454,62856,64100,67676,74496,83808,94284,102560,111744,112908,125712,128200
%N A244344 Numbers such that the largest prime factor equals the sum of the 4th power of the other prime factors.
%C A244344 Observation: it seems that the prime divisors of a majority of numbers n are of the form {2, p, q} with q = 2^4 + p^4, but there exists more rarely odd numbers with more prime divisors (example from Michel Marcus: 3955413 = 3*7*11*17123).
%H A244344 Amiram Eldar, <a href="/A244344/b244344.txt">Table of n, a(n) for n = 1..1500</a>
%e A244344 582 is in the sequence because the prime divisors of 582 are 2, 3 and 97 => 2^4 + 3^4 = 97.
%t A244344 fpdQ[n_]:=Module[{f=Transpose[FactorInteger[n]][[1]]},Max[f]-Total[Most[f]^4]==0];Union[Select[Range[2,5*10^5],fpdQ]]
%Y A244344 Cf. A094479, A193411, A185077.
%K A244344 nonn
%O A244344 1,1
%A A244344 _Michel Lagneau_, Jun 26 2014