A024779 Every suffix is prime and contains no 0 digits in base 4 (written in base 4).

2, 3, 13, 23, 113, 223, 323, 1223, 2113, 3323, 21223, 32113, 33323, 233323, 321223, 333323

Offset: 1

Author

David W. Wilson

Keywords

• nonn
• base
• fini
• full

Crossrefs

Cf. A024780, A024781, A024782, A024783, A024784, A024785.

Programs

Python

from sympy import isprime
def afull():
    prime_strings, alst = list("23"), []
    while len(prime_strings) > 0:
        alst.extend(sorted(int(p) for p in prime_strings))
        candidates = set(d+p for p in prime_strings for d in "123")
        prime_strings = [c for c in candidates if isprime(int(c, 4))]
    return alst
print(afull()) # Michael S. Branicky, Apr 27 2022