A386147 Primes having only {2, 3, 6, 7} as digits.

2, 3, 7, 23, 37, 67, 73, 223, 227, 233, 263, 277, 337, 367, 373, 673, 677, 727, 733, 773, 2237, 2267, 2273, 2333, 2377, 2633, 2663, 2677, 2767, 2777, 3323, 3373, 3623, 3637, 3673, 3677, 3727, 3733, 3767, 6263, 6277, 6323, 6337, 6367, 6373, 6637, 6673, 6733, 6737

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, A260126, A260380, A385787.

Cf. A000040, A385776.

Programs

Magma

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

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{2, 3, 6, 7}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [2, 3, 6, 7]) \\ uses function in A385776

Python

print(list(islice(primes_with("2367"), 41))) # uses function/imports in A385776