The conversation between human and AI assistant.
What is 1^4+2^4+3^4+…+n^4?
Interesting. Is there a similar formula for the sum to the power of 5 or any other power?
Yes, there are formulas for the sum of powers of any degree, but they tend to get more complicated. For example, the formula for the sum of fifth powers of the first n natural numbers is given by (n*(n+1)/2)^2 * (2n^3 + 3n^2 + n)/5.