A386123 Primes having only {1, 4, 6, 7} as digits.

7, 11, 17, 41, 47, 61, 67, 71, 167, 461, 467, 617, 641, 647, 661, 677, 761, 1117, 1171, 1447, 1471, 1667, 1741, 1747, 1777, 4111, 4177, 4441, 4447, 6661, 6761, 7177, 7411, 7417, 7477, 7717, 7741, 11117, 11161, 11171, 11177, 11411, 11447, 11467, 11471, 11617, 11677

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, A260269, A260891, A385794.

Cf. A000040, A385776.

Programs

Magma

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

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{1, 4, 6, 7}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [1, 4, 6, 7]) \\ uses function in A385776

Python

print(list(islice(primes_with("1467"), 41))) # uses function/imports in A385776