A386131 Primes having only {1, 5, 6, 9} as digits.

5, 11, 19, 59, 61, 151, 191, 199, 569, 599, 619, 659, 661, 691, 911, 919, 991, 1151, 1511, 1559, 1619, 1669, 1699, 1951, 1999, 5119, 5519, 5569, 5591, 5651, 5659, 5669, 6151, 6199, 6551, 6569, 6599, 6619, 6659, 6661, 6691, 6911, 6959, 6961, 6991, 9151, 9161, 9199

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 A363023, A385779, A385781, A385797.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [1, 5, 6, 9]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{1, 5, 6, 9}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [1, 5, 6, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("1569"), 41))) # uses function/imports in A385776