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Number of distinct prime divisors of 33...337 (with n 3s).
4

%I #13 Jan 24 2020 10:53:34

%S 1,1,2,3,1,3,3,2,2,2,3,3,4,4,3,4,3,3,4,5,4,4,4,4,4,5,3,4,2,4,4,5,4,4,

%T 4,8,2,2,2,3,5,4,6,6,1,5,3,4,5,4,5,8,4,2,5,5,5,2,4,4,6,4,2,4,3,4,6,3,

%U 6,9,4,7,5,3,5,7,3,6,5,6,4,7,4,5,3,5,4

%N Number of distinct prime divisors of 33...337 (with n 3s).

%C Number of distinct prime factors of (10^(n + 1) - 1)/3 + 4. - _Stefan Steinerberger_, Mar 06 2006

%H Amiram Eldar, <a href="/A104483/b104483.txt">Table of n, a(n) for n = 0..199</a>

%F a(n) = A001221(A173766(n+1)). - _Amiram Eldar_, Jan 24 2020

%e The number of distinct prime divisors of 37 is 1 (prime).

%e The number of distinct prime divisors of 337 is 1 (prime).

%e The number of distinct prime divisors of 3337 is 2.

%t Table[Length[FactorInteger[(10^(n + 1) - 1)/3 + 4]], {n, 1, 50}] (* _Stefan Steinerberger_, Mar 06 2006 *)

%Y Cf. A001221, A173766.

%K nonn,base

%O 0,3

%A _Parthasarathy Nambi_, Apr 18 2005

%E More terms from _Stefan Steinerberger_, Mar 06 2006

%E More terms from _Amiram Eldar_, Jan 24 2020