login
a(n) = prime^3 and digits of prime appear in a(n).
2

%I #10 Mar 18 2021 05:44:31

%S 125,1331,24389,205379,226981,300763,357911,389017,912673,1030301,

%T 1295029,2571353,3442951,6967871,12008989,12649337,15813251,22188041,

%U 30080231,36264691,38272753,41781923,58863869,64481201,90518849,101847563,124251499,158340421,237176659

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

%C Digits are not counted with multiplicity. - _Chai Wah Wu_, Mar 17 2021

%e 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

%o (Python)

%o from sympy import prime

%o A030082_list = []

%o for i in range(1,10**6):

%o p = prime(i)

%o q = p**3

%o if set(str(p)) <= set(str(q)):

%o A030082_list.append(q) # _Chai Wah Wu_, Mar 17 2021

%Y Cf. A030078 (cubes of primes).

%K nonn,base

%O 1,1

%A _Patrick De Geest_

%E More terms from _Chai Wah Wu_, Mar 17 2021