A329487 Primes p such that not all decimal digits of p occur in p^3.

2, 3, 7, 13, 17, 19, 23, 31, 37, 41, 43, 47, 53, 79, 83, 89, 103, 107, 113, 127, 131, 139, 149, 157, 163, 167, 173, 179, 181, 193, 197, 199, 211, 223, 227, 239, 241, 257, 263, 269, 271, 277, 283, 293, 307, 313, 317, 349, 353, 359, 367, 373, 379, 383, 397, 409, 419, 421, 431, 433, 439, 443, 457

Offset

1,1

Comments

Complement of A030080 in the primes.

Includes 3*10^k-7 if k is in A102964.

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

a(4)=13 is in the sequence because the digit 3 is in 13 but not in 13^3=2197.

Maple

filter:= proc(p)
if not isprime(p) then return false fi;
  not (convert(convert(p, base, 10), set) subset convert(convert(p^3, base, 10), set))
end proc:
select(filter, [2, seq(i, i=3..10000, 2)]);

Crossrefs

Cf. A030080, A102964.

Sequence in context: A141633 A045327 A181103 * A220814 A045328 A045329

Adjacent sequences: A329484 A329485 A329486 * A329488 A329489 A329490

Keyword

nonn,base

Author

Robert Israel, Nov 14 2019

Status

approved