

A038614


Primes not containing digit '6'.


3



2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 271, 277, 281, 283, 293, 307, 311
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OFFSET

1,1


COMMENTS

Subsequence of primes of A052414.  Michel Marcus, Feb 22 2015
Maynard proves that this sequence is infinite and in particular contains the expected number of elements up to x, on the order of x^(log 9/log 10)/log x.  Charles R Greathouse IV, Apr 08 2016


LINKS

Table of n, a(n) for n=1..58.
James Maynard, Primes with restricted digits, arXiv:1604.01041 [math.NT], 2016.


MATHEMATICA

Select[Prime[Range[70]], DigitCount[#, 10, 6] == 0 &] (* Vincenzo Librandi, Aug 08 2011 *)


PROG

(MAGMA) [ p: p in PrimesUpTo(400)  not 6 in Intseq(p) ]; // Bruno Berselli, Aug 08 2011
(PARI) lista(nn)=forprime(p=2, nn, if (!vecsearch(vecsort(digits(p), , 8), 6), print1(p, ", ")); ); \\ Michel Marcus, Feb 22 2015


CROSSREFS

Cf. A000040, A052414.
Sequence in context: A118850 A219697 A078668 * A171047 A050246 A229106
Adjacent sequences: A038611 A038612 A038613 * A038615 A038616 A038617


KEYWORD

nonn,easy,base


AUTHOR

Vasiliy Danilov (danilovv(AT)usa.net), Jul 1998


EXTENSIONS

Offset corrected by Arkadiusz Wesolowski, Aug 07 2011


STATUS

approved



