A386093 Primes having only {1, 2, 4, 7} as digits.

2, 7, 11, 17, 41, 47, 71, 127, 211, 227, 241, 271, 277, 421, 727, 1117, 1171, 1217, 1277, 1427, 1447, 1471, 1721, 1741, 1747, 1777, 2111, 2141, 2221, 2411, 2417, 2441, 2447, 2477, 2711, 2741, 2777, 4111, 4127, 4177, 4211, 4217, 4241, 4271, 4421, 4441, 4447, 4721

Offset: 1

Author

Jason Bard, Jul 16 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, A260267, A260889, A385784.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [1, 2, 4, 7]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{1, 2, 4, 7}, n], PrimeQ], {n, 7}]]

PARI

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

Python

print(list(islice(primes_with("1247"), 41))) # uses function/imports in A385776