A257668 Primes containing a digit 7.

7, 17, 37, 47, 67, 71, 73, 79, 97, 107, 127, 137, 157, 167, 173, 179, 197, 227, 257, 271, 277, 307, 317, 337, 347, 367, 373, 379, 397, 457, 467, 479, 487, 547, 557, 571, 577, 587, 607, 617, 647, 673, 677, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761

Offset

1,1

Comments

Primes in A062675.

Subsequence of primes of A011537. - Michel Marcus, May 03 2015

Links

Shujing Lyu, Table of n, a(n) for n = 1..100000

Formula

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

Example

For n = 2, a(2) = 17 is the second prime containing a digit of 7.

Mathematica

Select[Prime[Range[150]], ! StringFreeQ[ToString[#], "7"] &]

Prog

(Magma) [p: p in PrimesUpTo(800) | 7 in Intseq(p)];
(Sage) [p for p in primes(800) if 7 in p.digits(base=10)] # Bruno Berselli, May 03 2015
(PARI) lista(nn) = forprime(p=2, nn, if(vecsearch(vecsort(digits(p)), 7), print1(p, ", "))); \\ Altug Alkan, Apr 21 2016; corrected by Michel Marcus, Oct 30 2023

Crossrefs

Cf. similar sequences listed in A257667.

Cf. A011537, A062675, A166579 (subsequence).

Sequence in context: A339527 A090652 A062675 * A106095 A153319 A030432

Adjacent sequences: A257665 A257666 A257667 * A257669 A257670 A257671

Keyword

nonn,base,easy

Author

Vincenzo Librandi, May 03 2015

Status

approved