A260829 Primes that contain only the digits (5, 6, 7).

5, 7, 67, 557, 577, 677, 757, 5557, 5657, 6577, 7577, 7757, 55667, 56767, 57557, 57667, 65557, 65657, 65677, 65777, 67567, 67577, 67757, 67777, 75557, 75577, 75767, 76667, 76757, 76777, 77557, 555557, 555677, 555767, 557567, 565567, 565667, 566557, 566567

Offset

1,1

Comments

A020467 and A020469 are subsequences.

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, 6, 7}] == {} &]

Prog

(Magma) [p: p in PrimesUpTo(2*10^6) | Set(Intseq(p)) subset [5, 6, 7]];

Crossrefs

Cf. similar sequences listed in A260827.

Cf. A020467, A020469.

Sequence in context: A108200 A077780 A307361 * A355970 A130189 A180755

Adjacent sequences: A260826 A260827 A260828 * A260830 A260831 A260832

Keyword

nonn,easy,base

Author

Vincenzo Librandi, Aug 02 2015

Status

approved