A386075 Primes having only {0, 4, 7, 9} as digits.

7, 47, 79, 97, 409, 449, 479, 499, 709, 797, 907, 947, 977, 997, 4007, 4049, 4079, 4099, 4409, 4447, 4799, 4909, 4999, 7079, 7477, 7499, 7907, 7949, 9007, 9049, 9479, 9497, 9749, 9907, 9949, 40009, 40099, 40499, 40709, 40949, 44449, 44497, 44777, 44797, 44909

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 A261181, A261183, A384449, A385768.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 4, 7, 9]];

Mathematica

Select[FromDigits /@ Tuples[{0, 4, 7, 9}, n], PrimeQ]

PARI

primes_with(, 1, [0, 4, 7, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("0479"), 41))) # uses function/imports in A385776