@article {IOPORT.00704614, author = {Moree, P. and te Riele, Herman J.J. and Urbanowicz, J.}, title = {Divisibility properties of integers $x,k$ satisfying $1\sp k+\cdots +(x- 1)\sp k=x\sp k$.}, year = {1994}, journal = {Mathematics of Computation}, volume = {63}, number = {208}, issn = {0025-5718}, pages = {799-815}, publisher = {American Mathematical Society, Providence, RI}, doi = {10.2307/2153300}, abstract = {Among several other interesting observations related to Bernoulli sums it is proved that the Erd\H{o}s-Moser equation $1\sp k+ 2\sp k+ \dots+ x\sp k= (x+1)\sp k$ in positive integers $x$ and $k$ has extremely large solutions (if any), only.}, reviewer = {B.Brindza (Debrecen)}, identifier = {00704614}, }