A073643 Nine-digit primes with all distinct digits.

102345689, 102345697, 102345869, 102346789, 102346879, 102346897, 102346957, 102347689, 102348679, 102348769, 102349867, 102354689, 102354697, 102356489, 102356789, 102356987, 102358769, 102358967, 102364859, 102364879, 102365897

Offset

1,1

Comments

The number of distinct-digit primes are finite. E.g. there are exactly 145227 such nine-digit primes from 102345689 to 987654103.

All terms have exactly one "0" because nine-digit zero-less numbers with all distinct digits are divisible by 9. - Zak Seidov, Mar 15 2015

Links

Zak Seidov, Table of n, a(n) for n = 1..10000

Example

a(1)=102345689 because 102345689 is the smallest 9-digit prime with all distinct digits.

Prog

(Python)
from sympy import isprime
from itertools import permutations as perms
nines = (int("".join(p)) for p in perms("0123456789", 9) if p[0] != "0")
afull = [k for k in nines if isprime(k)]
print(afull[:24]) # Michael S. Branicky, Aug 04 2022

Crossrefs

For 3-digit distinct-digit primes, see A074675, A074676.

4-digit distinct-digit primes are in A074673, see also A074674.

5-digit distinct-digit primes are in A074671, see also A074672.

6-digit distinct-digit primes are in A074669, see also A074670.

7-digit distinct-digit primes are in A074667, see also A074668.

8-digit distinct-digit primes are in A074665, see also A074666.

Sequence in context: A293587 A263070 A116670 * A235161 A235724 A241792

Adjacent sequences: A073640 A073641 A073642 * A073644 A073645 A073646

Keyword

fini,nonn,base

Author

Zak Seidov, Aug 29 2002

Status

approved