Solution of Erdös-Moser equation 1^p+2^p+3^p+...+(k)^p=(k+1)^p

David Stacha
2018 Figshare  
The Erdös-Moser equation, named after Paul Erdös and Leo Moser, has been studied by many number theorists throughout history since combines addition, powers and summation together. The open and very interesting conjecture of Erdös-Moser states that there is no other solution of the EM equation than trivial 1+2=3. Investigation of the properties and identities of the EM equation and ultimately provide a proof of this conjecture is the main purpose of this article.
doi:10.6084/m9.figshare.7357127.v3 fatcat:gxyzbe3g4rbnlnsangc5obkyte