A342349 a(n) = p^3 where p is prime and digits of p counted with multiplicity appear in a(n).

125, 1331, 24389, 205379, 226981, 300763, 357911, 389017, 912673, 1030301, 1295029, 2571353, 12649337, 15813251, 22188041, 38272753, 41781923, 58863869, 64481201, 101847563, 124251499, 158340421, 237176659, 263374721, 318611987, 344472101, 371694959, 393832837

Offset: 1

Author

Chai Wah Wu, Mar 17 2021

Keywords

• nonn
• base

Comments

Subsequence of A030082. Coincides with A030082(n) for 1 <= n <= 12.

Examples

			a(13) = 12649337 = 233^3. 233 is prime and 12649337 contains one digit '2' and two digits '3'.
		

Crossrefs

Cf. A030082.

Programs

Python

from multiset import Multiset
from sympy import prime
A342349_list = []
for i in range(1,10**6):
    p = prime(i)
    q = p**3
    if Multiset(str(p)) <= Multiset(str(q)):
        A342349_list.append(q)