A386141 Primes having only {2, 3, 4, 7} as digits.

2, 3, 7, 23, 37, 43, 47, 73, 223, 227, 233, 277, 337, 347, 373, 433, 443, 727, 733, 743, 773, 2237, 2243, 2273, 2333, 2347, 2377, 2423, 2437, 2447, 2473, 2477, 2777, 3323, 3343, 3347, 3373, 3433, 3727, 3733, 4243, 4273, 4327, 4337, 4373, 4423, 4447, 4723, 4733

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 A199342, A199347, A214704, A385784.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [2, 3, 4, 7]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{2, 3, 4, 7}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [2, 3, 4, 7]) \\ uses function in A385776

Python

print(list(islice(primes_with("2347"), 41))) # uses function/imports in A385776