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

1,1

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

Formula

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

Mathematica

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

Prog

(Magma) [p: p in PrimesUpTo(1600) | 5 in Intseq(p)];
(Sage) [p for p in primes(1600) if 5 in p.digits(base=10)] # Bruno Berselli, May 03 2015
(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

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).

Sequence in context: A107803 A255579 A088712 * A045711 A090153 A188339

Adjacent sequences: A257664 A257665 A257666 * A257668 A257669 A257670

Keyword

nonn,base,easy

Author

Vincenzo Librandi, May 03 2015

Status

approved