A386116 Primes having only {1, 3, 6, 9} as digits.

3, 11, 13, 19, 31, 61, 113, 131, 139, 163, 191, 193, 199, 311, 313, 331, 613, 619, 631, 661, 691, 911, 919, 991, 1163, 1193, 1319, 1361, 1399, 1613, 1619, 1663, 1669, 1693, 1699, 1913, 1931, 1933, 1993, 1999, 3119, 3163, 3169, 3191, 3313, 3319, 3331, 3361, 3391

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 A329761, A363023, A385777.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [1, 3, 6, 9]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{1, 3, 6, 9}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [1, 3, 6, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("1369"), 41))) # uses function/imports in A385776