A386150 Primes having only {2, 3, 7, 8} as digits.

2, 3, 7, 23, 37, 73, 83, 223, 227, 233, 277, 283, 337, 373, 383, 727, 733, 773, 787, 823, 827, 877, 883, 887, 2237, 2273, 2287, 2333, 2377, 2383, 2777, 2833, 2837, 2887, 3323, 3373, 3727, 3733, 3823, 3833, 3877, 7237, 7283, 7333, 7723, 7727, 7823, 7873, 7877

Offset: 1

Author

Jason Bard, Jul 18 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 A214704, A260127, A260381, A385789.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [2, 3, 7, 8]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{2, 3, 7, 8}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [2, 3, 7, 8]) \\ uses function in A385776

Python

print(list(islice(primes_with("2378"), 41))) # uses function/imports in A385776