A385772 Primes having only {0, 8, 9} as digits.

89, 809, 8009, 8089, 8999, 80809, 80909, 80989, 89009, 89809, 89899, 89909, 89989, 90089, 90989, 98009, 98809, 98899, 98909, 98999, 99089, 99809, 99989, 800089, 800909, 800999, 809909, 880909, 888809, 888989, 889909, 890809, 890999, 898889, 899009, 900089

Offset: 1

Author

Jason Bard, Jul 09 2025

Keywords

• nonn
• base
• easy

Examples

			8999 is a term because it is prime and has only {0,8,9} as digits.
		

Links

• Jason Bard, Table of n, a(n) for n = 1..10000
• Index to entries for primes with digits in a given set

Crossrefs

Subsequence of A030433.

Cf. A000040, A020472, A385776.

Programs

Magma

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

Mathematica

Select[FromDigits/@Tuples[{0,8,9},5],PrimeQ]

PARI

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

Python

print(list(islice(primes_with("089"), 41))) # uses function/imports in A385776