A208272 Primes containing a digit 2.

2, 23, 29, 127, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 421, 521, 523, 727, 821, 823, 827, 829, 929, 1021, 1123, 1129, 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 1297, 1321, 1327

Offset: 1

Author

Jaroslav Krizek, Mar 04 2012

Keywords

• nonn
• base

Comments

Supersequence of A045708. Subsequence of A011532.

Complement of A208273 with respect to A011532.

Also primes p whose divisors d_k (k = 1, 2; 1 = d_1 < d_2 = p) contain digit equal to number k.

Complement of A208275 with respect to A208274.

Primes with at least one digit equal to 2. - Harvey P. Dale, Aug 29 2012

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A208273 (composites containing a digit 2), A011532 (numbers containing a digit 2).

Programs

Mathematica

Select[Range[2000], PrimeQ[#] && MemberQ[IntegerDigits[#], 2] &] (* T. D. Noe, Mar 06 2012 *)
Select[Prime[Range[300]],DigitCount[#,10,2]>0&] (* Harvey P. Dale, Aug 29 2012 *)

Formula

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