Solution of the Erdös-Moser Equation 1+2^p+3^p+⋯〖+k〗^p=(k+1)^p

David Stacha
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Abstract

The Erdos-Moser equation (EM equation), named after Paul Erdos and Leo Moser, has been studied by many number theorists throughout history since combines addition, powers and summation together. An open and very interesting conjecture of Erdos-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 prove the conjecture is the main purpose of this article.
Erdös-Moser方程1+2^p+3^p+⋯〖+k〗^p=(k+1)^p的解
Erdos-Moser方程(EM方程)以Paul Erdos和Leo Moser的名字命名,由于将加法、幂和求和结合在一起,历史上被许多数论学家研究过。Erdos-Moser的一个开放且非常有趣的猜想指出,除了平凡的1+2=3,没有其他的EM方程解。研究电磁方程的性质和恒等式,并最终证明其猜想是本文的主要目的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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