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A053434 Primes with digits in alphabetical order (in English). 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
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
KEYWORD
easy,nonn,word,base
AUTHOR
G. L. Honaker, Jr., Jan 10 2000
STATUS
approved

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Last modified April 17 10:31 EDT 2024. Contains 371763 sequences. (Running on oeis4.)