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首页> 外文期刊>Advances in Pure Mathematics >Very Original Proofs of Two Famous Problems: “Are There Any Odd Perfect Numbers?” (Unsolved until to Date) and “Fermat’s Last Theorem: A New Proof of Theorem (Less than One and a Half Pages) and Its Generalization”
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Very Original Proofs of Two Famous Problems: “Are There Any Odd Perfect Numbers?” (Unsolved until to Date) and “Fermat’s Last Theorem: A New Proof of Theorem (Less than One and a Half Pages) and Its Generalization”

机译：非常原始的两个着名问题：“有奇怪的完美数字吗？” （未解决至迄今为止）和“Fermat的最后定理：定理的新证明（不到一个半页）及其概括”

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This article presents very original and relatively brief or very brief proofs about of two famous problems: 1) Are there any odd perfect numbers? and 2) “Fermat’s last theorem: A new proof of theorem and its generalization”. They are achieved with elementary mathematics. This is why these proofs can be easily understood by any mathematician or anyone who knows basic mathematics. Note that, in both problems, proof by contradiction was used as a method of proof. The first of the two problems to date has not been resolved. Its proof is completely original and was not based on the work of other researchers. On the contrary, it was based on a simple observation that all natural divisors of a positive integer appear in pairs. The aim of the first work is to solve one of the unsolved, for many years, problems of the mathematics which belong to the field of number theory. I believe that if the present proof is recognized by the mathematical community, it may signal a different way of solving unsolved problems. For the second problem, it is very important the fact that it is generalized to an arbitrarily large number of variables. This generalization is essentially a new theorem in the field of the number theory. To the classical problem, two solutions are given, which are presented in the chronological order in which they were achieved. Note that the second solution is very short and does not exceed one and a half pages . This leads me to believe that Fermat, as a great mathematician was not lying and that he had probably solved the problem, as he stated in his historic its letter, with a correspondingly brief solution. To win the bet on the question of whether Fermat was telling truth or lying, go immediately to the end of this article before the General Conclusions.
机译：本文提出了非常原创的，也是相对简短的或非常简短的关于两个着名问题的证明：1）有什么奇怪的完美数字吗？ 2）“Fermat的最后定理：一个新的定理证明及其概括”。他们是基本数学实现的。这就是为什么任何数学家或任何了解基本数学的任何人都可以容易地理解这些证据。注意，在这两个问题中，使用矛盾的证明被用作证明方法。迄今为止的两个问题中的第一个问题尚未得到解决。其证据完全是原创的，不是基于其他研究人员的工作。相反，它基于简单的观察，即正整数的所有自然除数成对出现。第一项工作的目的是解决一个未解决的一个未解决的，多年，属于数字理论领域的数学问题。我认为，如果当前证明由数学界识别出来，它可能会发出不同方式来解决未解决的问题。对于第二个问题，这是一个非常重要的是，它是一个任意大量的变量。该概括基本上是数字理论领域的新定理。对于经典问题，给出了两种解决方案，其以它们实现的时间顺序呈现。请注意，第二个解决方案非常短，不超过一个半页。这让我相信，因为一个伟大的数学家没有撒谎，并且他可能已经解决了这个问题，因为他在他的历史性信中陈述了一个相应的解决方案。为了赢得赌注，关于Fermat是否讲述真相或撒谎的问题，请在一般结论之前立即到本文的末尾。

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