A175275 Base-3 pandigital primes: primes having at least one of each digit 0,1,2 when written in base 3.

11, 19, 29, 47, 59, 61, 73, 83, 89, 97, 101, 103, 107, 113, 127, 137, 139, 163, 167, 173, 179, 181, 191, 193, 197, 199, 223, 227, 251, 257, 263, 269, 277, 281, 293, 307, 311, 313, 317, 331, 347, 349, 353, 359, 379, 383, 389, 397, 409, 419, 421, 431, 433, 439

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Alonso Del Arte, Classifications of prime numbers - By representation in specific bases, OEIS Wiki as of Mar 19 2010.

Mathematica

Select[Range[500], Min @ DigitCount[#, 3] > 0 && PrimeQ[#] &] (* Amiram Eldar, Apr 13 2021 *)

Prog

(PARI) base(n, b=16, s=0)={local(a=[n%b]); while(0<n\=b, a=concat(n%b, a)); if(s, s=32*s+23; Strchr(vectorsmall(#a, i, if(a[i]>9, s, 48)+a[i])), a)}
forprime(p=1, 999, #Set(base(p, 3))==3&print1(p", "))

Crossrefs

Cf. A050288, A138837, A175271, A175272, A175273, A175274, A175276, A175277, A175278, A175279, A175280.

Sequence in context: A034109 A155070 A080821 * A094517 A196669 A322548

Adjacent sequences: A175272 A175273 A175274 * A175276 A175277 A175278

Keyword

nonn,base

Author

M. F. Hasler, May 27 2010

Status

approved