Brocard-Ramanujan 丢番图方程 $n!+1=m^2$

S. Cerdá

Brocard-Ramanujan 丢番图方程 $n!+1=m^2$

数论 2016-03-03 v5

作者: S. Cerdá

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摘要

本文提出一种求解 Brocard-Ramanujan 问题 $n! + 1 = m^2$ 的方法。

关键词

Brocard-Ramanujan 方程丢番图方程整数解阶乘完全平方数数论

引用

@article{arxiv.1504.06694,
  title  = {The Brocard-Ramanujan's Diophantine Equation $n!+1=m^2$},
  author = {S. Cerdá},
  journal= {arXiv preprint arXiv:1504.06694},
  year   = {2016}
}

备注

This paper is a new version of an old paper that was withdrawn by the author due to a logical fallacy detected by a reviewer. Now, this problem was solved using modular congruence techniques. There is a mistake at the solution

Brocard-Ramanujan 丢番图方程 $n!+1=m^2$

摘要

关键词

引用

备注

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