A212525 Primes containing a digit 3.

3, 13, 23, 31, 37, 43, 53, 73, 83, 103, 113, 131, 137, 139, 163, 173, 193, 223, 233, 239, 263, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 431, 433, 439, 443, 463, 503, 523, 563, 593, 613, 631, 643, 653, 673, 683

Offset

1,1

Comments

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

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Formula

a(n) ~ n log n. - Charles R Greathouse IV, Nov 01 2022

Mathematica

Select[Prime[Range[200]], MemberQ[IntegerDigits[#], 3] &] (* T. D. Noe, Jun 12 2012 *)

Crossrefs

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).

Sequence in context: A043501 A277590 A062667 * A106099 A273312 A017305

Adjacent sequences: A212522 A212523 A212524 * A212526 A212527 A212528

Keyword

nonn,base

Author

Jaroslav Krizek, Jun 12 2012

Status

approved