求多个极大素数的一种简便方法
An easy method for finding many very large prime numbers
摘要:
翻译自拉丁原文“Facillima methodus pluimos numeros primos praemagnos inveniendi”(1778年)。Enestrom指数中的E718。如果m是一个4k+1形式的数,并且是两个互素平方的和,那么它是素数当且仅当它不是另外两个平方的和。在本文中,欧拉想推广这一准则。他观察232 aa +1何时代表一个素数。他使用他的“numeri idonei”(合适的数字,方便的数字,idoneal数字)。
英文摘要:
Translated from the Latin original "Facillima methodus plurimos numeros primos praemagnos inveniendi" (1778). E718 in the Enestrom index. If m is a number of the form 4k+1 and is a sum of two relatively prime squares, then it is prime if and only if it is not the sum of two other squares. In this paper Euler wants to generalize this criterion. He looks at when 232aa+1 represents a prime number. He uses his "numeri idonei" (suitable numbers, convenient numbers, idoneal numbers).
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。