查询词典 prime number

Prime ideal decomposition is an important problem in algebraic number theory and is relative closely with the class field theory and so on.

素理想分解问题是代数数论中的一个重要课题，它与类域论的关系极为密切，因而如何判断K的素理想在K的有限扩张中的分解状况是一个十分有意义的问题。

The Canadian prime minister Stephen Harper said that Maxime Bernier's controversial relationship with a woman who had past romantic links to the Hells Angels was not a factor in the decision, but that has been flatly contradicted by a number of sources, including the woman herself, Julie Couillard.

通常摩托帮派都有如下特点：他们从不吝啬展示自己的身份，热衷于穿着极富特色的服饰招摇过市；他们依靠暴力生存，拥有武器和爆炸品；组织严密，内部等级森严。

On the ground of this search algorithm , the equivalent proposition of the Goldbach Conjecture for the even number as well as the equivalent proposition of the twin prime conjecture are deduced.

在这种搜索算法的基础上，既得到了孪生素数猜想的一个等价命题，也得到了偶数哥德巴赫猜想的一个等价命

It is greatly efficient, because this overcomes the shortcoming of Eratosthenes algorism that need compare every natural number in the given range, This algorism can acquire all prime numbers between 1 and any given natural number m This article also has given the complexity of the algorism, and even if sift in the algorism were different, it will be...

这避免了传统Eratosthenes 筛法需要比较每个数的缺点，极大地提高了算法效率。该算法能用于求1至任意自然数m之间的所有素数。同时还给出了该算法的最多比较次数公式，即使用不同的筛子利用该公式也容易求得其最大比较次数。

Let Nk be the number of factors of 2 in the prime factorization of Ik .

定义Nk为lk的质因数分解中2的个数。

This dissertation investigates the construction of pseudo-random sequences (pseudo-random numbers) from elliptic curves and mainly analyzes their cryptographic properties by using exponential sums over rational points along elliptic curves. The main results are as follows:(1) The uniform distribution of the elliptic curve linear congruential generator is discussed and the lower bound of its nonlinear complexity is given.(2) Two large families of binary sequences are constructed from elliptic curves. The well distribution measure and the correlation measure of order k of the resulting sequences are studied. The results indicate that they are "good" binary sequences which give a positive answer to a conjecture proposed by Goubin et al.(3) A kind of binary sequences from an elliptic curve and its twisted curves over a prime field F_p. The length of the sequences is 4p. The "1" and "0" occur almost the same times. The linear complexity is at least one-fourth the period.(4) The exponential sums over rational points along elliptic curves over ring Z_ are estimated and are used to estimate the well distribution measure and the correlation measure of order k of a family of binary sequences from elliptic curves over ring Z_.(5) The correlation of the elliptic curve power number generator is given. It is proved that the sequences produced by the elliptic curve quadratic generator are asymptotically uniformly distributed.(6) The uniform distribution of the elliptic curve subset sum generator is considered.(7) We apply the linear feedback shift register over elliptic curves to produce sequences with long periods. The distribution and the linear complexity of the resulting sequences are also considered.

本文研究利用椭圆曲线构造的伪随机序列，主要利用有限域上椭圆曲线有理点群的指数和估计讨论椭圆曲线序列的密码性质——分布、相关性、线性复杂度等，得到如下主要结果：(1)系统讨论椭圆曲线-线性同余序列的一致分布性质，即该类序列是渐近一致分布的，并给出了它的非线性复杂度下界；(2)讨论两类由椭圆曲线构造的二元序列的"良性"分布与高阶相关性(correlation of order κ)，这两类序列具有"优"的密码性质，也正面回答了Goubin等提出的公开问题；(3)利用椭圆曲线及其挠曲线构造一类二元序列，其周期为4p(其中椭圆曲线定义在有限域F_p上)，0-1分布基本平衡，线性复杂度至少为周期的四分之一；(4)讨论了剩余类环Z_上的椭圆曲线的有理点的分布估计，并用于分析一类由剩余类环Z_上椭圆曲线构造的二元序列的伪随机性；(5)讨论椭圆曲线-幂生成器序列的相关性及椭圆曲线-二次生成器序列的一致分布；(6)讨论椭圆曲线-子集和序列的一致分布；(7)讨论椭圆曲线上的线性反馈移位寄存器序列的分布，线性复杂度等性质。

This paper utilizes the Reciprocal Law Two Times to prove that the rational number of a kind of form is not the integer, and proves that the number of another kind of prime is limitless.

摘要利用二次互反定律证明了某类形式的有理数不是整数，并且证明了某类形式的素数的个数是无限的。

This paper utilizes the Reciprocal Law Two Times to prove that the rational number of a kind of form is not the integer ,and proves that the number of another kind of prime is limitless.

利用二次互反定律证明了某类形式的有理数不是整数，并且证明了某类形式的素数的个数是无限的。

You only need to import a few of the more than 2, will automatically judge whether the number is prime, prime, if not automa...

你只需要输入一个大于2的数，就能自动判断这个数是否是素数，如果不是素数就自动分解质因数。

Puzzle 152: Totient valence - Euler's totient function phi is defined as the number of positive integers not exceeding n that are relatively prime to n, where 1 is counted as being relatively prime to all numbers.

谜152：ψ价-欧拉totient功能装置定义为正整数人数不超过氮，以氮相对优惠，凡被算作是一所有号码比较优惠。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。