A386117 Primes having only {1, 3, 7, 8} as digits.

3, 7, 11, 13, 17, 31, 37, 71, 73, 83, 113, 131, 137, 173, 181, 311, 313, 317, 331, 337, 373, 383, 733, 773, 787, 811, 877, 881, 883, 887, 1117, 1171, 1181, 1187, 1373, 1381, 1733, 1777, 1783, 1787, 1811, 1831, 1871, 1873, 1877, 3137, 3181, 3187, 3313, 3331, 3371

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 A260379, A260381, A260892, A385778.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [1, 3, 7, 8]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{1, 3, 7, 8}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [1, 3, 7, 8]) \\ uses function in A385776

Python

print(list(islice(primes_with("1378"), 41))) # uses function/imports in A385776