论文标题
戈德巴赫猜想的简单解释
A Simple Explanation for the Goldbach Conjecture
论文作者
论文摘要
在本文中，给出了戈德巴赫猜想的简单解释。我们已经表明，不仅违反质量数字的猜想的概率，而且对于任何分布与质量数字相似的自然数的子集都可以忽略不计。该结果使得将猜想推广到任何分布与质数相似的自然数的子集。此外，我们选择了几个新的子集，它们在自然数中的分布与质量数相似，通过将+1和-1随机添加到质量数中，并通过计算机对每个偶数整数的偶数整数进行检查，并通过计算机检查了Goldbach的猜想。正如预期的那样，戈德巴赫的猜想也适用于这些新的重建集。因此，猜想可以推广到分布与质数相似的自然数的任何子集。那是猜想的“主要”是必要的。这个事实使人们想到了这样一个想法，即可能使猜想的实例是“概率”，而不是数字理论事实。
In this paper, a simple explanation for the Goldbach Conjecture is given. We have shown that the probability of violating the conjecture not only for the prime numbers, but also for any subset of natural numbers whose distribution is similar to the prime numbers is negligible. This result makes it possible to generalize the conjecture to any subset of natural numbers whose distribution is similar to the prime numbers. Additionally, we selected several new subsets whose distribution amongst the natural numbers are similar to the prime numbers by randomly addition of +1 and -1 to the prime numbers and checked the Goldbach conjecture for every even integer less than $2 \times 10^8$ by computer. As it was expected, the Goldbach conjecture holds true for these new reconstructed sets, as well. Consequently, the conjecture can be generalized to any subset of natural numbers whose distribution is similar to the prime numbers. That is "being prime" is not necessary for the conjecture to hold for the instances. This fact brings to mind the idea that perhaps what makes the Conjecture to hold for the instances is "probability", not number theory facts.
