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Primes of Form 4n+3.. There are infinitely many primes of the… | by Safwan | Math Simplified | Oct, 2021

We are interested in primes of the form; 4n, 4n +1, 4n +2, or 4n +3. However, primes cannot be of the form 4n because these are multiple of four, or 4n +2 because these are even numbers so are divisible by 2 and the only even prime is 2.

Can we write all the odd primes in the form 4n +1 or 4n +3? These numbers 4n +1 or 4n +3 cover all the odd numbers. Hence all the odd primes (that is all the primes other than 2) must be…


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