# The polymath blog

## May 12, 2011

### Possible new polymath project

Filed under: polymath proposals — Terence Tao @ 5:56 pm

Richard Lipton has just proposed on his blog to discuss the following conjecture of Erdos as a polymath project: that there are no natural number solutions to the equation

$1^k + \ldots + (m-1)^k = m^k$

with $k \geq 2$.  Previous progress on this problem (including, in particular, a proof that any solution to this equation must have an extremely large value of $m$, and specifically that $m \geq 10^{10^9}$) can be found here.
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