Good & Bad Prime Numbers

 

Do you know ??
There are “Good Prime Numbers ” & “Bad Prime Numbers “

Actually , Prime numbers are of three forms
1) p =2

2) p =4m+1

3) p=4m+3

First two forms are ” Good Prime Numbers ”
& third one is ” Bad Prime Numbers “

Why Good & Bad Prime numbers ?

Why they are called so ??

Curious to know about it ??
If then , the first two forms of Prime Number can be expressed as the sum of two square numbers , whereas the third form cannot be expressed as sum of two square numbers.

Look at some examples
2 = 1^2 +1^2

5 = 1^2 +2^2

7 cannot be expressed as above, it falls in the third form.
Try out for other numbers yourself & learn more !
#PrimeNumbers #GoodBad #Numbers

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About Praveenkumar P Kalikeri

ABOUT US Hey,Thanks for dropping by .First I would like to Appreciate for your love towards the Mathematics Subject. My name is Praveenkumar Kalikeri. I'm an Engineering Student from Karnataka , India. My Passion for Mathematics , encouraged me to start this blog . I Started loving the Mathematics subject from my schooling days.I was greatly motivated by teachers, parents who always helped me .        Numbers have Beauty !! They fascinated me .. As we all know best method to try out something new is to study old theories , concepts , its drawbacks, etc. I ,myself Started learning Vedic Mathematics at age of 15. Here , I will share vedic maths tricks learned and modified by me in simple manner which will be useful in various competitive exams. "If You Believe , You Can Do".
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