# Algebra

September 1st, 2022

## Proof of infinite primes

Prove: There are infinitely many prime numbers p of the form 4n+3. In other words, show that there exist infinitely many positive integers, n, such that the number 4n+1 is prime.

September 1st, 2022

## Rational numbers and powers

What is the result of 0.1/0.01 + 0.01/0.001 + 0.001/0.0001=?

September 1st, 2022

## Exponential equations

Solve for x: 10^x + 6(10^-x) = 7 and also: 3^3x+2 * 8^-x = 4

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