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

1,1

Comments

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

Links

Table of n, a(n) for n=1..28.

Example

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

Prog

(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)

Crossrefs

Cf. A030082.

Sequence in context: A000526 A016971 A030082 * A017043 A255181 A102061

Adjacent sequences: A342346 A342347 A342348 * A342350 A342351 A342352

Keyword

nonn,base

Author

Chai Wah Wu, Mar 17 2021

Status

approved