## Number Theory Resources Find Maximum amount for K

(a-b)^2+(b-c)^2+(c-d)^2+(d-e)^2+(e-a)^2>=K(b-d)^2 a,b,c,d,e,k Is Real Number Matrix sieve theorem

I have derived the following theorem: Odd positive integer N=6n−1 is a prime iff neither of two diophantine equations 6x^2+(6x−1)y=n 6x^2+(6x+1)y=n has solution... finding primes

Briefly explain how to generate a random prime number with a particular number of bits using a test such as the Miller-Rabin test.   I know how to conduct the Miller-Rabin Test I'm...

Can you solve the problem below: The value of a three digit number increases by 108 when the first digit is placed at the last and the value of the number increases by 189 when the last number... Application of number theory

Hello. I have a question please help. What is the use of number theory in science and life? Except for cryptography, is it applicable in genetics or engineering or anything else ?! Please give me... Why is 2 a controversial number?

I have heard people say 2 is not a prime number and some go as far to say that 2 is not a number all together. What is the meaning behind this? Have I been lied to my entire life? Show [n(n^2−1)]/3 is an integer

Use the division algorithm to show [n(n^2−1)]/3 is an integer, for all n ∈ Z.

n>2 and 1<m<n and 1<k<n

The pivot point (+13+14-15) (+83+84-85) tends to the 1/√2 of the sum. So 14/20, then 84/119, then 492/696 is tending toward 1/√2. If n+p=2000 and LCM of n and p is 21879. Then find n and p

P is prime and n is a positive integer