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A038612 Primes not containing digit '4'. 3
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 251, 257, 263, 269, 271, 277, 281, 283, 293 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Subsequence of primes of A052406. - 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..57.

James Maynard, Primes with restricted digits, arXiv:1604.01041 [math.NT], 2016.

MATHEMATICA

Select[Prime[Range[70]], DigitCount[#, 10, 4] == 0 &] (* Vincenzo Librandi, Aug 08 2011 *)

PROG

(MAGMA) [ p: p in PrimesUpTo(300) | not 4 in Intseq(p) ]; // Bruno Berselli, Aug 08 2011

(PARI) lista(nn)=forprime(p=2, nn, if (!vecsearch(vecsort(digits(p), , 8), 4), print1(p, ", ")); ); \\ Michel Marcus, Feb 22 2015

CROSSREFS

Cf. A000040, A052406.

Sequence in context: A238242 A197298 A211654 * A012883 A296915 A171032

Adjacent sequences:  A038609 A038610 A038611 * A038613 A038614 A038615

KEYWORD

nonn,easy,base

AUTHOR

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

EXTENSIONS

Offset corrected by Arkadiusz Wesolowski, Aug 07 2011

STATUS

approved

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Last modified January 20 02:57 EST 2019. Contains 319323 sequences. (Running on oeis4.)