A386107 Primes having only {1, 3, 4, 7} as digits.

3, 7, 11, 13, 17, 31, 37, 41, 43, 47, 71, 73, 113, 131, 137, 173, 311, 313, 317, 331, 337, 347, 373, 431, 433, 443, 733, 743, 773, 1117, 1171, 1373, 1433, 1447, 1471, 1733, 1741, 1747, 1777, 3137, 3313, 3331, 3343, 3347, 3371, 3373, 3413, 3433, 3733, 4111, 4133

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 A079651, A199341, A199347, A260379.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [1, 3, 4, 7]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{1, 3, 4, 7}, n], PrimeQ], {n, 7}]]

PARI

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

Python

print(list(islice(primes_with("1347"), 41))) # uses function/imports in A385776