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Primes containing a digit 3.
5

%I #13 Nov 01 2022 15:32:51

%S 3,13,23,31,37,43,53,73,83,103,113,131,137,139,163,173,193,223,233,

%T 239,263,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,

%U 383,389,397,431,433,439,443,463,503,523,563,593,613,631,643,653,673,683

%N Primes containing a digit 3.

%C Supersequence of A045709, A106103 and A106099. Subsequence of A011533 and A062667.

%H Amiram Eldar, <a href="/A212525/b212525.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) ~ n log n. - _Charles R Greathouse IV_, Nov 01 2022

%t Select[Prime[Range[200]], MemberQ[IntegerDigits[#], 3] &] (* _T. D. Noe_, Jun 12 2012 *)

%Y Cf. A045709 (primes with first digit 3), A011533 (numbers containing a digit 3), A062667 (numbers n such that every divisor of n (except 1) contains the digit 3), A106099 (primes with maximal digit = 3), A106103 (primes with minimal digit = 3), A038611 (primes not containing digit 3).

%K nonn,base

%O 1,1

%A _Jaroslav Krizek_, Jun 12 2012