A386122 Primes having only {1, 4, 5, 9} as digits.

5, 11, 19, 41, 59, 149, 151, 191, 199, 419, 449, 491, 499, 541, 599, 911, 919, 941, 991, 1151, 1451, 1459, 1499, 1511, 1549, 1559, 1949, 1951, 1999, 4111, 4159, 4441, 4451, 4519, 4549, 4591, 4919, 4951, 4999, 5119, 5419, 5441, 5449, 5519, 5591, 9151, 9199, 9419

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 A260268, A260271, A385781, A385793.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [1, 4, 5, 9]];

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{1, 4, 5, 9}, n], PrimeQ], {n, 7}]]

PARI

primes_with(, 1, [1, 4, 5, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("1459"), 41))) # uses function/imports in A385776