A260831 Primes that contain only the digits (5, 7, 9).

5, 7, 59, 79, 97, 557, 577, 599, 757, 797, 977, 997, 5557, 5779, 7559, 7577, 7757, 7759, 55579, 55799, 55997, 57557, 57559, 57977, 59557, 59779, 59797, 59957, 59999, 75557, 75577, 75797, 75979, 75997, 77557, 77797, 77977, 77999, 79559, 79579, 79757, 79777

Offset

1,1

Comments

A020467, A020468 and A020471 are subsequences.

Subsequence of A030096.

Links

Alois P. Heinz, Table of n, a(n) for n = 1..10000

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

Mathematica

Select[Prime[Range[2 10^5]], Complement[IntegerDigits[#], {5, 7, 9}] == {} &]

Prog

(Magma) [p: p in PrimesUpTo(2*10^5) | Set(Intseq(p)) subset [5, 7, 9]];

Crossrefs

Cf. similar sequences listed in A260827.

Cf. A000040, A020467, A020468, A020471, A030096.

Sequence in context: A300090 A324984 A106112 * A268433 A201109 A177336

Adjacent sequences: A260828 A260829 A260830 * A260832 A260833 A260834

Keyword

nonn,easy,base

Author

Vincenzo Librandi, Aug 03 2015

Status

approved