Prime Newtons

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This channel is to help College and High school students master essential math skills in order to be ready for higher mathematics . I present and solve selec...

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Find All Prime Pairs (p. q) for Positive Integer n.

Show that f is periodic

Find all pairs (x, p)

Find f(x)

Find the largest positive integer

Prove that f is odd and periodic

Find the real solutions

For any Pythagorean triple ( a, b, c) if 3 divides c, then it divides both a and b.

n^2 +1 is never divisible by 7

Find all integer k if sqrt(k^2 -pk) is a positive integer for prime p.

Modified Euler Method

Find all rational points on the circle

Prove that p^2 - 1 is a multiple of 24

Show that f is periodic

Prove that x(x+1) is never equal to 2(5y+2) for integers.

Euler's Method

Prove 2x is always less than sinx + tanx for all acute angles

How to graph trig functions

From the 2017 Pan Africa Math Olympiad Day 2 #4

Find all positive integer pairs (x, y)

Find all natural numbers such that 2^n + n divides 8^n + n

Find all natural numbers for which n^10 + n^5 +1 is prime

Why e maximizes the product

Compute the largest number

Compute the sum of the squares of all possible x

Compute the smallest integer k

Kummer's Theorem

13 facts about this hyperbola and how to find them

A good use for the lambert W function

The last 2 digits of a perfect square cannot be both odd.