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A364831
Primes whose digits are prime and in nonincreasing order.
1
2, 3, 5, 7, 53, 73, 733, 773, 5333, 7333, 7753, 55333, 75533, 75553, 77773, 733333, 755333, 775553, 7553333, 7555333, 7775533, 7777753, 55555333, 55555553, 77755553, 555553333, 755555533, 773333333, 777555553, 777773333, 777775333, 777775553, 777777773
OFFSET
1,1
COMMENTS
Intersection of A028867 and A019546.
The subsequence for primes whose digits are prime and in strictly decreasing order has just six terms: 2 3 5 7 53 73 (see A177061).
MATHEMATICA
Select[Prime[Range[3100000]], AllTrue[d = IntegerDigits[#], PrimeQ] && GreaterEqual @@ d &]
PROG
(Python)
from itertools import count, islice, chain, combinations_with_replacement
from sympy import isprime
def A364831_gen(): # generator of terms
yield 2
yield from chain.from_iterable((sorted(s for d in combinations_with_replacement('753', l) if isprime(s:=int(''.join(d)))) for l in count(1)))
A364831_list = list(islice(A364831_gen(), 30)) # Chai Wah Wu, Sep 10 2023
CROSSREFS
KEYWORD
nonn,base
AUTHOR
James C. McMahon, Aug 09 2023
STATUS
approved