Question

the reminder whenthe square of any prime numbers greater than 3 is divided by 6​

Answer 1

Answer:

Any prime number greater then 3 can be written in the form of (6n+1) or (6n-1).

=> NOW, (6n+1)^2 = 36n +1 + 12n

= 3(12n + 4n) +1

Or it shall be 1 similarly,

=> (6n + 1)^2 = 3(12n + 4n) + 1.

SO, THE REMAINDER IS 1.

HENCE, THE ANSWER IS 1.

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