A386102 Primes having only {1, 2, 7, 8} as digits.

2, 7, 11, 17, 71, 127, 181, 211, 227, 271, 277, 281, 727, 787, 811, 821, 827, 877, 881, 887, 1117, 1171, 1181, 1187, 1217, 1277, 1721, 1777, 1787, 1811, 1871, 1877, 2111, 2221, 2281, 2287, 2711, 2777, 2887, 7121, 7127, 7177, 7187, 7211, 7717, 7727, 7817, 7877

Offset: 1

Author

Jason Bard, Jul 17 2025

Keywords

• nonn
• base
• easy

Links

• Jason Bard, Table of n, a(n) for n = 1..10000
• Index to entries for primes with digits in a given set

Crossrefs

Supersequence of A260889, A260892, A385775, A385789.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [1, 2, 7, 8]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{1, 2, 7, 8}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [1, 2, 7, 8]) \\ uses function in A385776

Python

print(list(islice(primes_with("1278"), 41))) # uses function/imports in A385776