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.

A096171 Numbers k such that k^4+1 is an odd semiprime.

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%I A096171 #18 Aug 07 2025 14:04:45
%S A096171 8,10,12,14,18,22,26,30,32,36,38,40,42,50,52,58,62,68,72,78,84,86,92,
%T A096171 94,98,100,102,108,112,114,116,120,122,124,128,130,138,146,148,152,
%U A096171 158,162,166,170,172,176,184,186,200,212,214,216,218,222,224,226,234,250,252
%N A096171 Numbers k such that k^4+1 is an odd semiprime.
%H A096171 Hugo Pfoertner, <a href="/A096171/b096171.txt">Table of n, a(n) for n = 1..10000</a>
%e A096171 a(1)=8 because 8^4 + 1 = 4097 = 17*241;
%e A096171 a(2)=10: 10^4 + 1 = 10001 = 73*137.
%t A096171 Select[Range[2,300,2],PrimeOmega[#^4+1]==2&] (* _Harvey P. Dale_, Dec 25 2021 *)
%o A096171 (PARI) isA096171(n) = {local(m);m=n^4+1;(m%2==1)&&(bigomega(m)==2)} \\ _Michael B. Porter_, Feb 02 2010
%Y A096171 Cf. A000068 (n^4+1 is prime), A037896 (primes of the form k^4+1), A096169 ((n^4+1)/2 is prime), A069170 (primes of the form (k^4+1)/2), A096172 (largest prime factor of n^4+1), A046388.
%K A096171 nonn
%O A096171 1,1
%A A096171 _Hugo Pfoertner_, Jun 19 2004