A329760 Primes avoiding the digits 2 and 7.

3, 5, 11, 13, 19, 31, 41, 43, 53, 59, 61, 83, 89, 101, 103, 109, 113, 131, 139, 149, 151, 163, 181, 191, 193, 199, 311, 313, 331, 349, 353, 359, 383, 389, 401, 409, 419, 431, 433, 439, 443, 449, 461, 463, 491, 499, 503, 509, 541, 563, 569, 593, 599, 601, 613

Offset

1,1

Links

Alois P. Heinz, Table of n, a(n) for n = 1..20000

Marianne Freiberger, Primes without 7s.

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

James Maynard and Brady Haran, Primes without a 7, Numberphile video (2019)

Formula

{ A038604 } intersect { A038615 }.

Mathematica

Select[Prime[Range[120]], DigitCount[#, 10, 2]==0 && DigitCount[#, 10, 7]==0 &] (* Vincenzo Librandi, Jan 02 2020 *)

Prog

(Magma) [p: p in PrimesUpTo(700) | not 2 in Intseq(p) and not 7 in Intseq(p) ]; // Vincenzo Librandi, Jan 02 2020

Crossrefs

Cf. A000040, A020459, A038604, A038615.

Sequence in context: A175865 A001122 A152871 * A156221 A207325 A295243

Adjacent sequences: A329757 A329758 A329759 * A329761 A329762 A329763

Keyword

nonn,base

Author

Alois P. Heinz, Nov 20 2019

Status

approved