A030082 a(n) = prime^3 and digits of prime appear in a(n).

125, 1331, 24389, 205379, 226981, 300763, 357911, 389017, 912673, 1030301, 1295029, 2571353, 3442951, 6967871, 12008989, 12649337, 15813251, 22188041, 30080231, 36264691, 38272753, 41781923, 58863869, 64481201, 90518849, 101847563, 124251499, 158340421, 237176659

Offset: 1

Author

Patrick De Geest

Keywords

• nonn
• base

Comments

Digits are not counted with multiplicity. - Chai Wah Wu, Mar 17 2021

Examples

			a(13) = 3442951 = 151^3. 151 is prime and the digits of 151, '1' and '5' are digits of a(13). - _Chai Wah Wu_, Mar 17 2021
		

Crossrefs

Cf. A030078 (cubes of primes).

Programs

Python

from sympy import prime
A030082_list = []
for i in range(1,10**6):
    p = prime(i)
    q = p**3
    if set(str(p)) <= set(str(q)):
        A030082_list.append(q) # Chai Wah Wu, Mar 17 2021

Extensions

More terms from Chai Wah Wu, Mar 17 2021