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

1,1

Links

Michael S. Branicky, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Word Sequence

Prog

(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

Crossrefs

Intersection of primes and A053432.

Sequence in context: A263499 A258706 A265408 * A241716 A061166 A003681

Adjacent sequences: A053431 A053432 A053433 * A053435 A053436 A053437

Keyword

easy,nonn,word,base

Author

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

Status

approved