A259146 Smallest prime with first n digits distinct.

2, 13, 103, 1039, 10243, 102359, 1023467, 10234589, 102345689, 10234567897

Offset: 1

Author

Zak Seidov, Jun 19 2015

Keywords

• nonn
• base
• fini
• full

Comments

The sequence is complete: n=1..10.

Crossrefs

Cf. A000040, A007809, A007810, A029743.

Programs

Python

from sympy import nextprime
def a(n):
  p = nextprime(10**(n-1))
  while len(set(str(p)[:n])) < n: p = nextprime(p)
  return p
for n in range(1, 11):
  print(a(n), end=", ") # Michael S. Branicky, Feb 13 2021

Formula

a(n) = A007809(n), n<=9. - R. J. Mathar, Jul 06 2015