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A366580 Number of distinct prime divisors of 3^n + 1.

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%I A366580 #18 Jan 06 2024 12:27:20
%S A366580 1,1,2,2,2,2,3,2,3,4,3,3,3,2,4,5,2,4,4,3,3,5,4,2,6,4,4,6,4,4,5,3,2,6,
%T A366580 4,4,4,4,4,7,5,3,7,2,5,9,4,4,4,4,6,8,4,3,5,6,6,7,4,3,7,3,5,11,2,4,6,3,
%U A366580 5,8,8,6,8,3,5,11,6,5,7,4,5,11,5,5,10,8
%N A366580 Number of distinct prime divisors of 3^n + 1.
%H A366580 Max Alekseyev, <a href="/A366580/b366580.txt">Table of n, a(n) for n = 0..691</a>
%F A366580 a(n) = omega(3^n+1) = A001221(A034472(n)).
%t A366580 PrimeNu[3^Range[0,100]+1] (* _Paolo Xausa_, Oct 14 2023 *)
%o A366580 (PARI) for(n = 0, 100, print1(omega(3^n + 1), ", "))
%Y A366580 Cf. A001221, A002592, A034472, A046799, A057935, A057941, A074476, A133801, A274909, A366577, A366578, A366579.
%K A366580 nonn
%O A366580 0,3
%A A366580 _Sean A. Irvine_, Oct 13 2023