Find the sum of all positive integers n such that when 1^{3}+2^{3}+3^{3}+\cdots+n^{3} is divided by n+5, the remainder is 17 .
Find the sum of all positive integers n such that when 1^{3}+2^{3}+3^{3}+\cdots+n^{3} is divided by n+5, the remainder is 17 .