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Number of 2's in first n primes.
1

%I #10 Jun 13 2018 23:09:48

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

%T 4,4,4,4,4,4,4,4,4,4,4,4,5,7,9,11,12,13,14,15,16,17,18,19,20,21,22,23,

%U 23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,24,24,24,24,24

%N Number of 2's in first n primes.

%C In the first 10^m (m=3,4,5) primes there are 339, 4070, 55213 2's, among all 3803, 48982, 610484 digits, which gives the frequencies {0.08914, 0.08309, 0.09044}.

%H Robert Israel, <a href="/A121242/b121242.txt">Table of n, a(n) for n = 1..10000</a>

%p ListTools:-PartialSums([seq(numboccur(2,convert(ithprime(i),base,10)),i=1..100)]); # _Robert Israel_, Jun 13 2018

%t Accumulate[DigitCount[Prime[Range[90]],10,2]] (* _Harvey P. Dale_, Nov 09 2013 *)

%Y Cf. A068670 Number of digits in the first n primes.

%Y Partial sums of A085976.

%K base,nonn

%O 1,9

%A _Zak Seidov_, Aug 22 2006