A386084 Primes having only {0, 7, 8, 9} as digits.

7, 79, 89, 97, 709, 787, 797, 809, 877, 887, 907, 977, 997, 7079, 7789, 7877, 7879, 7907, 8009, 8087, 8089, 8707, 8779, 8807, 8887, 8999, 9007, 9787, 9887, 9907, 70009, 70079, 70099, 70709, 70877, 70879, 70979, 70997, 70999, 77797, 77899, 77977, 77999, 78007

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 A106110, A261181, A385771, A385772.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 7, 8, 9]];

Mathematica

Select[FromDigits /@ Tuples[{0, 7, 8, 9}, n], PrimeQ]

PARI

primes_with(, 1, [0, 7, 8, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("0789"), 41))) # uses function/imports in A385776