A386109 Primes having only {1, 3, 4, 9} as digits.

3, 11, 13, 19, 31, 41, 43, 113, 131, 139, 149, 191, 193, 199, 311, 313, 331, 349, 419, 431, 433, 439, 443, 449, 491, 499, 911, 919, 941, 991, 1193, 1319, 1399, 1433, 1439, 1493, 1499, 1913, 1931, 1933, 1949, 1993, 1999, 3119, 3191, 3313, 3319, 3331, 3343, 3391

Offset

1,1

Links

Jason Bard, Table of n, a(n) for n = 1..10000

Index to entries for primes with digits in a given set

Mathematica

Flatten[Table[Select[FromDigits /@ Tuples[{1, 3, 4, 9}, n], PrimeQ], {n, 7}]]

Prog

(Magma) [p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [1, 3, 4, 9]];
(Python) print(list(islice(primes_with("1349"), 41))) # uses function/imports in A385776
(PARI) primes_with(, 1, [1, 3, 4, 9]) \\ uses function in A385776

Crossrefs

Supersequence of A199341, A199349, A260271, A329761.

Cf. A000040, A385776.

Sequence in context: A067386 A063621 A176870 * A089152 A386116 A386118

Adjacent sequences: A386106 A386107 A386108 * A386110 A386111 A386112

Keyword

nonn,base,easy

Author

Jason Bard, Jul 17 2025

Status

approved