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A105971 Number of distinct prime divisors of 66...667 (with n 6's). 1

%I #13 Apr 05 2023 17:38:55

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

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

%U 5,4,3,2,4,4,4,4,5,4,5,6,2,7,6,4,7,5,5,4,5,2,5,4,3,6,4,6,6,4,3,5

%N Number of distinct prime divisors of 66...667 (with n 6's).

%H Amiram Eldar, <a href="/A105971/b105971.txt">Table of n, a(n) for n = 0..206</a>

%F a(n) = A001221(A067275(n+2)). - _Amiram Eldar_, Jan 27 2020

%e The number of distinct prime divisors of 67 is 1 (prime).

%e The number of distinct prime divisors of 667 is 2.

%e The number of distinct prime divisors of 6667 is 2.

%t Table[PrimeNu[(6*10^(n + 1) + 3)/9], {n, 0, 30}] (* _Amiram Eldar_, Jan 27 2020 *)

%t Table[PrimeNu[FromDigits[PadLeft[{7},n,6]]],{n,100}] (* _Harvey P. Dale_, Apr 05 2023 *)

%Y Cf. A001221, A067275, A104889, A104524.

%K nonn,base

%O 0,3

%A _Parthasarathy Nambi_, Apr 28 2005

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Last modified April 18 04:56 EDT 2024. Contains 371767 sequences. (Running on oeis4.)