If ‘p’ is prime = 3. What is the greatest number which will divide p^2-1?

Question

If ‘p’ is prime >= 3. What is the greatest number which will divide p^2-1?

Arun Kumar · Answer

Hi Ashfaaq, See if you take any no. and try to see then you will find that all unique factors are till its square root. and lets assume here that p is greater than 6. then its greatest factors be if we have more information about p then we can have factors of n too. Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty

Viraj C Bukitagar · Answer

let p be 3 3^2-1=8 let p be 5 5^2-1=24 let p be 7 7^2-1=48 if we take hcf of the solutions 3 results that is hcf(8,24,48)=8 therfore 8 is the highest no. divisible by p^2-1 still have doubt try two more casees and find hcf of all 5 numbers the result will be 8

Ashfaaq Mohammed · Answer

@Viraj C Butkitagar: Thank you very much for your answer. I appreciate it.

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If ‘p’ is prime >= 3. What is the greatest number which will divide p^2-1?

If ‘p’ is prime >= 3. What is the greatest number which will divide p^2-1?

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