A260830 Primes having only {5, 7, 8} as digits.

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

Author

Vincenzo Librandi, Aug 02 2015

Keywords

• nonn
• easy
• base

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)
• Index to entries for primes with digits in a given set

Crossrefs

Cf. similar sequences listed in A260827.

Cf. A020467, A020470.

Programs

Magma

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

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 *)