Conjecture

Every integer is a sum of four cubes of integers.

Theorem(Dem`yanenko)

Every integer such that n not = 4,5 mod 9 is a sum of four cubes of integers.


Theme
Every integer such that n = 4,5 mod 9 is a sum of four cubes of integers?
So,I searched the solutions of n=a^3+b^3+c^3+d^3 under the condition n=4,5 mod 9,n<10000.
Because there were many solutions, I adopted the smallest solutions.

                                       n=a^3+b^3+c^3+d^3