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The reminder when the square of any prime number greater than 3 is divided by 6 is?
Most Upvoted Answer
The reminder when the square of any prime number greater than 3 is div...
Any prime number greater then 3 can be written in form of 6n + 1 or 6n - 1
=> Now, (6n + 1 )² = 36n² + 1 + 12n
= 3 (12n² + 4n) + 1
Or it shall be 1 similarly,
=> ( 6n + 1)² = 3(12n² + 4n) + 1
So, the reminder is 1.
Hence, the answer is 1.
Community Answer
The reminder when the square of any prime number greater than 3 is div...
Prime no greater than 3 is form=6k+_ 1
where k natural number
(6k +- 1)whole square =36K2 +- 12k +1
=6k(6k+- 2) +1
so, remainder is 1
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The reminder when the square of any prime number greater than 3 is divided by 6 is?
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