Question

What are Wilson theorem and Pell’s equation?

Answer 1

Answer:

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Answer 2

Explanation:

In number theory, according to Wilson, a natural number n > 1 is a prime number if and only if it is one less than a multiple of n that is the sum of all positive integers less than n. This further states -

(n-1) ! = -1 (mod n) when n is a prime number.

According to the Pell's equation -

x² - ny² = 1

Where n is a positive nonsquare integer and where x and y are checked for integer solutions. The equation has the form of a hyperbola in Cartesian coordinates; solutions are found wherever the curve passes through a point whose x and y coordinates are both integer,