Lovely Primes!!!!!!!!!!!!!

I have recently got some interest in Primes and tried to explore more and more in it. Late, at night 11:00, I found this beautiful theorem.

I found that" Every prime when divided by four gives a remainder 1 or -1.

Therefore, square of every prime leaves a remainder 1 when divided by 4.

(sum_{i=1}^n) P gives a remainder n when divided by 4.( where P is a prime)

The primes we take doesn't include 2.

#NumberTheory

Easy Math Editor

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`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
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`\sum_{i=1}^3`	$\sum_{i=1}^3$
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Comments

Sorry to burst your bubble, but I could say that about the square of every odd number :P

Jake Lai - 6 years, 4 months ago

Nothing to feel bad.Had to realize that before. However, thanks Brother @Jake Lai . By the way, I don't feel bad about it because I have tried and failed. Failures are stepping stones to success

Sudhir Aripirala - 6 years, 4 months ago

Indeed! That's the attitude I admire the most!

Jake Lai - 6 years, 4 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$