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.

A381725 Numbers k such that 5^k - 4^k is a semiprime.

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%I A381725 #10 Mar 06 2025 01:53:32
%S A381725 2,5,7,11,13,19,31,41,79,83,113,157,173,233,281,317,359,373
%N A381725 Numbers k such that 5^k - 4^k is a semiprime.
%C A381725 Are all terms prime?  Any term that is not a prime must be the square of a member of A059802.
%H A381725 <a href="https://factordb.com/index.php?query=5%5E449-4%5E449">Status of 5^449-4^449 in factordb.com</a>.
%F A381725 A001222(A005060(a(n))) = 2.
%e A381725 a(3) = 7 is a term because 5^7 - 4^7 = 61741 = 29 * 2129 with 29 and 2129 prime.
%p A381725 filter:= n -> numtheory:-bigomega(5^n - 4^n):
%p A381725 select(filter, [2,seq(i,i=3..120,2]);
%Y A381725 Cf. A001222, A001358, A005060, A059802, A082869.
%K A381725 nonn,hard,more
%O A381725 1,1
%A A381725 _Zak Seidov_ and _Robert Israel_, Mar 05 2025
%E A381725 a(14)-a(18) from _Jinyuan Wang_, Mar 05 2025