8 May
2020
8 May
'20
1:37 p.m.
One special case, 1^k + 2^k + ... + n^k = (n+1)^k, is known as Erdős–Moser equation: https://en.wikipedia.org/wiki/Erd%C5%91s%E2%80%93Moser_equation Giovanni Resta Il 08/05/2020 21:17, Dan Asimov ha scritto:
Famously,
1^2 + 2^2 + 3^2 + ... + 24^2 = 70^2
[....]
But I'm interested in when 1^k + 2^k + ... + n^k is an exact kth power for k > 2 and of course n > 1.
—Dan