A260830 Primes that contain only the digits (5, 7, 8).

5, 7, 557, 577, 587, 757, 787, 857, 877, 887, 5557, 5857, 7577, 7757, 7877, 8887, 55787, 57557, 57587, 57787, 58757, 58787, 75557, 75577, 75787, 77557, 77587, 78577, 78787, 78857, 78877, 78887, 85577, 87557, 87587, 87877, 87887, 555557, 555857, 557857, 558587

Offset

1,1

Comments

A020467 and A020470 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, 7, 8}] == {} &]
Select[Flatten[Table[FromDigits/@Tuples[{5, 7, 8}, n], {n, 6}]], PrimeQ] (* Harvey P. Dale, Oct 06 2017 *)

Prog

(Magma) [p: p in PrimesUpTo(2*10^6) | Set(Intseq(p)) subset [5, 7, 8]];

Crossrefs

Cf. similar sequences listed in A260827.

Cf. A020467, A020470.

Sequence in context: A059394 A176960 A114368 * A260827 A020467 A089344

Adjacent sequences: A260827 A260828 A260829 * A260831 A260832 A260833

Keyword

nonn,easy,base

Author

Vincenzo Librandi, Aug 02 2015

Status

approved