A257667 Primes containing a digit 5.

5, 53, 59, 151, 157, 251, 257, 353, 359, 457, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 653, 659, 751, 757, 853, 857, 859, 953, 1051, 1151, 1153, 1259, 1451, 1453, 1459, 1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579

Offset: 1

Author

Vincenzo Librandi, May 03 2015

Keywords

• nonn
• base
• easy

Comments

Subsequence of primes of A011535. - Michel Marcus, May 03 2015

Primes in A062671. - Bruno Berselli, May 03 2015

Links

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

Crossrefs

Cf. prime numbers containing the string k: A208270 (k=1), A208272 (k=2), A212525 (k=3), this sequence (k=5), A257668 (k=7), A166571 (k=10), A166572 (k=11), A243529 (k=12), A166573 (k=13), A243530 (k=14), A243531 (k=15), A243532 (k=16), A166579 (k=17), A243527 (k=111), A166580 (k=222), A166581 (k=333), A166582 (k=444).

Cf. A011535, A062671, A243531 (subsequence).

Programs

Magma

[p: p in PrimesUpTo(1600) | 5 in Intseq(p)];

Mathematica

Select[Prime[Range[250]], ! StringFreeQ[ToString[#], "5"] &]

PARI

forprime(p=1, 1600, if(vecsearch(vecsort(digits(p)), 5), print1(p, ", "))) \\ Derek Orr, May 05 2015; corrected by Michel Marcus, Oct 30 2023

Sage

[p for p in primes(1600) if 5 in p.digits(base=10)] # Bruno Berselli, May 03 2015

Formula

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