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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.
=> 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
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? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The reminder when the square of any prime number greater than 3 is divided by 6 is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The reminder when the square of any prime number greater than 3 is divided by 6 is?.
The reminder when the square of any prime number greater than 3 is divided by 6 is? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The reminder when the square of any prime number greater than 3 is divided by 6 is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The reminder when the square of any prime number greater than 3 is divided by 6 is?.
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