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
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).
Programs
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Magma
[p: p in PrimesUpTo(1600) | 5 in Intseq(p)];
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Mathematica
Select[Prime[Range[250]], ! StringFreeQ[ToString[#], "5"] &]
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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
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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
Comments