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.

A384369 Numbers k such that Omega(k)^Omega(k) == Omega(k) (mod k) where Omega = A001222.

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%I A384369 #20 Aug 30 2025 02:26:37
%S A384369 1,2,3,5,7,8,11,12,13,17,19,23,29,31,36,37,41,43,47,48,53,59,61,67,71,
%T A384369 73,79,80,83,84,89,97,101,103,107,109,113,120,126,127,131,137,139,149,
%U A384369 151,157,163,167,173,179,181,191,193,197,199,208,211,223,227,229,233,239,241
%N A384369 Numbers k such that Omega(k)^Omega(k) == Omega(k) (mod k) where Omega = A001222.
%e A384369 8 is a term because Omega(8)^Omega(8) = 3^3 = 27 == 3 (mod 8).
%t A384369 {1}~Join~Select[Range[2,241],Mod[PrimeOmega[#]^PrimeOmega[#],#]==PrimeOmega[#]&] (* _James C. McMahon_, Jun 04 2025 *)
%o A384369 (Magma) [k: k in [1..250] | (k eq 1 select 0 else &+[p[2]: p in Factorization(k)])^(k eq 1 select 0 else &+[p[2]: p in Factorization(k)]) mod k eq (k eq 1 select 0 else &+[p[2]: p in Factorization(k)])];
%Y A384369 Supersequence of primes A000040.
%Y A384369 Cf. A001222.
%K A384369 nonn,changed
%O A384369 1,2
%A A384369 _Juri-Stepan Gerasimov_, May 30 2025