OFFSET
1,3
COMMENTS
Terms up to 10^8.
No further terms after 10^7 since 10^k > k^2*9^5 beyond that point. - Ray Chandler, Apr 01 2016
EXAMPLE
4100 is a term because 4100 = 4*(4^5+1^5+0^5+0^5).
MATHEMATICA
Position[ Table[ IntegerLength[ k] Sum[( Floor[k/10^n] - 10 Floor[k/10^(n + 1)])^5, {n, 0, IntegerLength@ k}] - k, {k, 1, 10^6}], 0] // Flatten = {1, 1232, 4100, 268542}
Select[Range[10^7], With[{id=IntegerDigits[#]}, #==Length[id]*Plus@@(id^5)]&] (* Ray Chandler, Apr 01 2016 *)
PROG
(PARI) isok(n) = my(d=digits(n)); n == #d*sum(k=1, #d, d[k]^5); \\ Michel Marcus, Mar 25 2016
CROSSREFS
KEYWORD
nonn,base,fini,full
AUTHOR
José de Jesús Camacho Medina, Mar 18 2016
EXTENSIONS
a(5) from Michel Marcus, Mar 25 2016
STATUS
approved