A386127 Primes having only {1, 4, 7, 9} as digits.

7, 11, 17, 19, 41, 47, 71, 79, 97, 149, 179, 191, 197, 199, 419, 449, 479, 491, 499, 719, 797, 911, 919, 941, 947, 971, 977, 991, 997, 1117, 1171, 1447, 1471, 1499, 1741, 1747, 1777, 1949, 1979, 1997, 1999, 4111, 4177, 4441, 4447, 4799, 4919, 4999, 7177, 7411

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 A079651, A260271, A260893, A261183.

Cf. A000040, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [1, 4, 7, 9]];

Mathematica

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

PARI

primes_with(, 1, [1, 4, 7, 9]) \\ uses function in A385776

Python

print(list(islice(primes_with("1479"), 41))) # uses function/imports in A385776