reciprocity theorem

Test instructions Give N (1 Knowledge Points: Integer n the kind and decomposition method. Fermat theorem: P is prime, if p cannot divide a, then a^ (p-1) ≡1 (mod p). The Ma Xiao theorem can be used to reduce the power of primes. When M is a prime number, (M must be a prime number to use the Fermat theorem) When a=2. (a=2 is only the condition in question, a can

Chinese remainder theorem, aka grandson Theorem O (* ≧▽≦) MitsujoWhat problems can be solved?Problem:A bunch of things.3 x 3 left 25 x 5 left 37 x 7 left 2Ask how many of this itemTo solve this problem, we need to construct an answerWe need to construct this answer.5*7*INV (5*7, 3)% 3 = 13*7*INV (3*7, 5)% 5 = 13*5*INV (3*5, 7)% 7 = 1These 3 are not correct, don't tell me inverse yuan you forget (*′? ' *), f

7 Month 2 In the afternoon, Beijing Elementary School began to put on the summer vacation, the second floor of the small Sun sun kept shouting, to this, my heart is very annoying. However, go upstairs to see, found that the sun is on the network with classmates playing a network game,... cause my memories of the past. last century Span style= "font-family: Wenquanyi Zen Hei equal width positive black" >50 ERA, a general-purpose computer has just been published ( 1954 Span style= "

+ s-1, m) = C (n + M, m) Now C (n + M, m) % P is required, where p is a prime number. Then, we can use the template of the Lucas theorem to easily obtain the value of C (n + M, m) % P. The following is a brief introduction to the Lucas theorem: The Lucas theorem is used to evaluate the value of C (n, m) mod P, and P is a prime number (M combination from N, P on

The purpose of this article is to let oneself learn Goldbach conjecture study of specific methods, specific reference Pan book "Prime Distribution and Goldbach conjecture", in this I will prove the details as far as possible to write more detailed, convenient later reference again. Because it is all self-taught, in this first article, only a few coarser estimates are considered, which is enough to prove the three prime theorems below. Even so, the proof of the

Before introducing the SG function and the SG theorem, let's introduce the winning and losing points.the concept of winning points and losing points：P-Point: Must lose the point, in other words, is who is in this position, then in both sides operation correct situation will defeat.N Point: Win point, in this case, both sides operate correctly under the circumstances to win.the nature of winning and losing points: 1, all the endpoints are a must defeat

Related Knowledge points: 1. A ≡ B (modc), A and B are equivalent to a % C = B, that is, a modc = B mod C. 2. If a and B are mutually qualitative (a, B) = 1, obtain the inverse ax 1_1 (modb) of a about model B) 3. Theorem on the remainder: Theorem 1: If the divisor is an integer multiple of (or minus) the divisor, And the divisor remains unchanged, the remainder remains unchanged.Theorem 2: If the divisor i

. Ferma is a French mathematician and translated as "ferma". His profile is as follows. I don't know. I was shocked.Http://www.cmr.com.cn/BasicStudy/LearnColumn/Maths/shuxuejiashi/j12.htm Ferma's theorem:If n is an arbitrary positive integer, P is a prime number, and N cannot be divisible by P (obviously N and P are mutually qualitative), then:N ^ P % P = N (that is, the power P of n divided by the remainder of P is N) However, I checked a lot of information and found the formula as follows:(N ^

China Remainder Theorem Wikipedia, a free encyclopedia Jump to: navigation, search China Remainder Theorem(Chinese Remainder Theorem,Chinese Remainder Theorem).Han Xin dianbing","Sun Tzu's Theorem","Ghost Valley computing","Par

Looking back, in 1908, calculus (also known as "micro-accumulation") was introduced into China. At the beginning, only a few people in China knew about calculus. After liberation, especially after the proposal of "entering science" in 1956, China began to learn about the Soviet Union in an all-round way. At that time, the Soviet scholar fekhincz wrote the "calculus tutorial" (three volumes of 9, ye yanqian translated) popular throughout the country, cultivate a large number of China's new genera

What does Cantor's theorem mean? The content of the theorem is very interesting, however, the proving method of theorem (so-called "triangle-line Proof method",Diagonalmethod) is very unique, beyond the ordinary people's imagination. The Cantor theorem is for the general arbitrary set A , the

I. LiteracyThe Blue Den principle: when you climb up, you must keep the ladder clean, otherwise you may slide when you come down.Author: American manager ransden.Comments: only when there is a degree of rejection will we not be able to retreat. If you forget all the cons, you can be flattered.Luvis's theorem: modesty does not mean to think badly, but not to think badly about yourself.Author: American psychologist luvisComment: If you think too well, i

PolyA theorem: If G is a replacement group of P objects, P objects are colored in K colors! When a scheme becomes another scheme under group G, we think the two schemes are the same at this time. In this case, different dyeing schemes are as follows: N = (EK ^ m (F)/| G |, where M (f) is the cyclic section replacing f. PolyA theorem is based on the Burnside theorem