奇素数

Fibonacci数中奇素数因子p的指数

The Exponent of Odd Prime Numbers Factor p in Fibonacci Numbers

本文证明：当p≥7任意奇素数，3≤s球面稳定同伦群πS中的一个阶为p的非平凡元素。

In this paper , it is proved that for p ≥ 7 an arbitrary odd prime number and 3 ≤ s < p , the homotopy element α 1 β 1 γ s is nontrivial and of order p in the stable homotopy groups of spheres π S.

连续二整数不是同一奇素数P之费马解的定理

The theorem of Fermat solution , two consecutive integers not a same odd prime number p

设p是奇素数，D是适合pD的正奇数。

Let p be an odd prime , and let D be a positive integer with 2D and pD .

，pk是相异的奇素数。

, pk are distinct odd primes .

利用May谱序列和Adams谱序列证明：同伦元素β2γs在一定条件下是阶为p的非平凡元素，其中p≥7是奇素数。

We make use of the May spectral sequence and the Adams spectral sequence to prove that under some conditions the homotopy element β _2 γ _s is nontrivial and of order p , where p ≥ 7 is an odd prime number .

给出了p6阶群的RodneyJames家族Φ1和Φ2中所有群的自同构群的阶，其中p是奇素数。

The all orders of automorphism groups of the groups of order p ~ 6 in Rodney James ' families Φ _1 and Φ _2 are gotten , where p is an odd prime .

设P是奇素数，本文证明了：Mersenne数2p-1的最大无平方部分Q（2p-1）满足：Q（2p－1）≥min（2p－1，（πp／logp）2）。

Let P is an odd prime , in this paper we prove that the maximal square free number Q ( 2p-1 ) of Mersenne numbers 2p-1 satisfies : Q ( 2p-1 )≥ min ( 2p-1 , (π P / logp ) 2 )

本文从群的元素的阶着手，只利用群论的初步知识，简便地给出了2p、4p、2p~2、2pq（p、q是奇素数，p≠q）阶群的构造。

Starting on order of group 's elements and using only elementary theory of group , we simply and conveniently gave construction of groups of the order 2p , 4p , 2p ~ 2 and 2pq ( p , q are odd prime and p ≠ q ) .

周期长度为奇素数的伪随机序列的功率谱分析

Power Spectrum Analysis of PN Sequence With Odd Prim Number Periods

推导生命呈奇素数演化规律，为形态脏腑演化提供了基础。

To deduce laws on life evolution with odd number .

奇素数幂中的孤立数

The Anti - Sociable Numbers in Odd Prime Powers

任意大偶数可表为两个奇素数之和

Any Greater Even Number Can Be Expressed as the Sum of Two Odd Prime Numbers

用跳马步系列研究奇素数阶规则完美幻方的个数

Using " diagonal-jumping system " in the research of the number of odd prime number order regular pandiagonal magic square

提出了一种多变量公钥密码体制。该体制建立在以奇素数为特征的有限域上，在结构上结合了嵌入思想和分层思想。

We propose a multivariate public key cryptographic scheme over finite fields with odd characteristic . The idea of embedding and layering is manifested in its construction .

以此为据，证明了绝对假素数是奇数，它无异于1的平方因数，并且至少是三个互异的奇素数的乘积；

According to this result , we prove that a absolute false prime number is odd , and it has no square factors besides 1 and it is the product of at least three distinct odd prime number .