A053435 Primes with distinct digits in alphabetical order (in English).

2, 3, 5, 7, 13, 17, 41, 43, 47, 53, 59, 73, 83, 89, 97, 163, 173, 463, 491, 541, 547, 563, 593, 853, 857, 859, 863, 4973, 5413, 5417, 8513, 8543, 8563, 8573, 8597, 8963, 9173, 54163, 54917, 54973, 84163, 84913, 541763, 549163, 849763, 854963, 891763, 5491763

Offset: 1

Author

G. L. Honaker, Jr., Jan 10 2000

Keywords

• easy
• fini
• full
• nonn
• word
• base

Comments

Largest term is 5491763.

Links

• Eric Weisstein's World of Mathematics, Word Sequence

Crossrefs

Cf. A000040.

Primes in A053433. Subsequence of A053432 and A053434.

Programs

Python

from sympy import isprime
from itertools import combinations
afull = sorted(k for k in (int("".join(c)) for l in range(1, 10) for c in combinations("854917632", l)) if isprime(k))
print(afull) # Michael S. Branicky, Jun 02 2022

Extensions

a(38)-a(46) from Metin Sariyar, Dec 13 2021

Missing term inserted by Sean A. Irvine, Jan 10 2022