A053434 Primes with digits in alphabetical order (in English).

2, 3, 5, 7, 11, 13, 17, 41, 43, 47, 53, 59, 73, 83, 89, 97, 113, 163, 173, 433, 443, 449, 463, 491, 499, 541, 547, 557, 563, 577, 593, 599, 733, 773, 811, 853, 857, 859, 863, 877, 881, 883, 887, 911, 977, 991, 997, 1117, 1163, 1663, 1733, 1777, 4111, 4133, 4177

Offset: 1

Author

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

Keywords

• easy
• nonn
• word
• base

Links

• Michael S. Branicky, Table of n, a(n) for n = 1..10000
• Eric Weisstein's World of Mathematics, Word Sequence

Crossrefs

Intersection of primes and A053432.

Programs

Python

from sympy import isprime
from itertools import count, islice, combinations_with_replacement as cwr
def bgen(): # generator terms of A053432 not ending in 0 or 2
    for d in count(1):
        yield from sorted(int("".join(t)) for t in cwr("85491763", d))
def agen(): yield 2; yield from filter(isprime, bgen())
print(list(islice(agen(), 55))) # Michael S. Branicky, Aug 17 2022