A386337 Primes without {2, 6} as digits.

3, 5, 7, 11, 13, 17, 19, 31, 37, 41, 43, 47, 53, 59, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 131, 137, 139, 149, 151, 157, 173, 179, 181, 191, 193, 197, 199, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 373, 379, 383, 389, 397, 401, 409, 419, 431

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

Maple

f:= n-> (l-> add([0, 1, $3..5, $7..9][l[j]+1]*10^(j-1), j=1..nops(l)))(convert(n, base, 8)):
select(isprime, [seq(f(i), i=0..600)])[];  # Alois P. Heinz, Jul 19 2025

Mathematica

Select[Prime[Range[120]], DigitCount[#, 10, 2] == 0 && DigitCount[#, 10, 6] == 0 &]

Prog

(Magma) [p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 1, 3, 4, 5, 7, 8, 9]];
(Python) print(list(islice(primes_with("01345789"), 41))) # uses function/imports in A385776
(PARI) primes_with(, 1, [0, 1, 3, 4, 5, 7, 8, 9]) \\ uses function in A385776

Crossrefs

Intersection of A038604 and A038614.

Cf. A000040, A329760, A361822, A385776.

Sequence in context: A038604 A386320 A386338 * A155026 A295705 A081092

Adjacent sequences: A386334 A386335 A386336 * A386338 A386339 A386340

Keyword

nonn,base,easy

Author

Jason Bard, Jul 19 2025

Status

approved