论文标题

整数与其正方形之间的质数的频率分布:案例研究

Frequency Distribution of Prime Numbers between an Integer and its Square: A Case Study

论文作者

Muhammad, Tashreef, Shahariar, G. M., Aziz, Tahsin, Alam, Mohammad Shafiul

论文摘要

质数编年史在人类历史上已经返回了数千年。不仅质数的特征使人们感到惊讶,而且所有这些努力都为寻找质数的模式而付出的所有努力都吸引了他们。直到最近,人们坚信质数并没有保持自己之间的任何发生模式。授予此陈述不是完全正确的。本文也是试图发现质数发生模式的一种尝试。这项工作旨在引入一些数学众所周知的方程式,这些方程式表明在数字及其正方形范围内的素数数量中存在简单的模式。我们假设对感知模式的严格评估可能会在许多方面受益,例如加密应用,有关素数的算法等等。

The chronicle of prime numbers travel back thousands of years in human history. Not only the traits of prime numbers have surprised people, but also all those endeavors made for ages to find a pattern in the appearance of prime numbers has been captivating them. Until recently, it was firmly believed that prime numbers do not maintain any pattern of occurrence among themselves. This statement is conferred not to be completely true. This paper is also an attempt to discover a pattern in the occurrence of prime numbers. This work intends to introduce some mathematical well-known equations that point to the existence of a simplistic pattern in the number of primes within the range of a number and its square. We assume that the rigorous evaluation of the perceived pattern may benefit in many aspects such as applications of encryption, algorithms concerning prime numbers, and many more.

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