A386138 Primes having only {1, 7, 8, 9} as digits.

7, 11, 17, 19, 71, 79, 89, 97, 179, 181, 191, 197, 199, 719, 787, 797, 811, 877, 881, 887, 911, 919, 971, 977, 991, 997, 1117, 1171, 1181, 1187, 1777, 1787, 1789, 1811, 1871, 1877, 1879, 1889, 1979, 1987, 1997, 1999, 7177, 7187, 7717, 7789, 7817, 7877, 7879, 7919

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 A106110, A260892, A260893, A385783.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [1, 7, 8, 9]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{1, 7, 8, 9}, n], PrimeQ], {n, 7}]]

PARI

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

Python

print(list(islice(primes_with("1789"), 41))) # uses function/imports in A385776