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Numbers 

If p is a prime such that (p – 1)/4 and (p + 1)/2 are primes, then  how many values of p are possible.
i) 0
ii) 1
iii) 2
iv) 3
v) More than 3

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17 comments

  1. Samyak Jain

    Sir, I used the fact that all the prime numbers are of the form 6n+1 or 6n-1. I replaced the value of p with the above two values and I found no solution.

  2. 1
    I used hit and trial method and only 13 is that value of p that gives the other two primes .

    is there any other solution ?

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