我们经常只用圆法去处理堆垒素数问题，包括本文的课题。
Usually we just use the circle method to deal with many additive prime problems, including the one in this paper.
大量的数论问题都跟素数相关，它们中的大部分仍然悬而未解，有些甚至过了几个世纪依然无法攻克。
Numerous arithmetical problems concern prime numbers and most of them still remain unresolved, sometimes even after several centuries.
素数的排列规律和鉴别方法一直是数论中研究的重要问题之一。
The permutation law and decision method of prime number is an important question of the number theory.
作为此问题的推广，本文还建立了一个类似的数值结果：可表为两个素数的平方和两个2的方幂之和的大偶数具有正密度。
As its generalization, we also establish that a positive proportion of even integers can be written as the sum of two squares of primes and two powers of 2.
对于相当广泛的一类涉及殆素数分布的筛法问题，我们的方法仍然适用。
For various sieve problems about the distribution of almost-primes our meth-od is still available.
运用数论理论中素数的性质和特点，将符号计算问题转化为数值计算问题，设计了一个布尔表达式化简工具。
This paper applies the characters of primes in the mathematical theory of Numbers transfers the symbolic computation into value computation and designs a tool of Boolean expression simplification.
这里面牵涉素数的数学表达式的重大数学问题。
This involves the major mathematical problems of the prime's mathematical expression .
在系统的实现过程中，还主要解决了大素数的生成以及大数运算等问题。
And the generation of big prime number and the googol computation are also solved in this system.
最直接的问题来自口服抗生素数据完全来自欧洲这一事实。
The more straightforward question relates to the fact that the oral antibiotic data are entirely from Europe.
解决了三素数定理推广到素数取自算术级数的问题。
Every large odd integer can be represeted as the sum of three primes which take from arithmetic progressions.
一般而言，该问题归结为模大素数的二次剩余问题，但这种归结不能用于最优扩域OEF。
Generally, this problem is reduced to quadratic residue problem of modulo a big prime number. But this reduction is not applicable to Optimal Extension Fields (OEF).
在以软件模式呈现时，遇到的最大的性能问题与填充率有关，该值定义为呈现的像素数目。
The biggest performance issue you will encounter when rendering in software mode is related to fill rate, which is defined as the number of pixels that you are rendering.
本文将这两个方面的问题结合在一起：以数学史为鉴，将素数的数学史融入校本教案进行设计。
This article combines two aspects together: that is, take a lesson from the history of mathematics and melt the history of prime number into the design of teaching plan for school-based curriculum.
本文将这两个方面的问题结合在一起：以数学史为鉴，将素数的数学史融入校本教案进行设计。
This article combines two aspects together: that is, take a lesson from the history of mathematics and melt the history of prime number into the design of teaching plan for school-based curriculum.
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