I have worked out the general formula of the sum of natural numbers to the power of one to nine, but I deduce it by observing the law. The process lacks rigorous basis, and I have not been able to prove my own law, I hope that people who specialize in this problem can solve it. This is an ancient world problem that Euclidean began to study in ancient Greece. It is said that this year there has been a perfect solution,

I have worked out the general formula of the sum of natural numbers to the power of one to nine, but I deduce it by observing the law. The process lacks rigorous basis, and I have not been able to prove my own law, I hope that people who specialize in this problem can solve it. This is an ancient world problem that Euclidean began to study in ancient Greece. It is said that this year there has been a perfect solution,

I have studied this problem myself and got a result, but it is very complicated and must be deduced one by one. First, when n = 2, we use the cubic difference formula n ^ 3 - (n-1) ^ 3 = n ^ 2 + (n-1) ^ 2 + n (n-1) = n ^ 2 + (n-1) ^ 2 + n ^ 2-N = 2 * n ^ 2 + (n-1) ^ 2-N 2 ^ 3-1 ^ 3 = 2 * 2 ^ 2 + 1 ^ 2-2 ^ 3-2 ^ 3 = 2 * 3 ^ 2 + 2 ^ 2-3 4