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Prime and Twice Square (Posted on 2016-10-22) Difficulty: 4 of 5
Determine all possible values of a prime number P such that each of P+1 and P2 + 1 is twice a perfect square.

Prove that these are the only ones.

See The Solution Submitted by K Sengupta    
Rating: 4.0000 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution A solution | Comment 1 of 4
P=7
7+1=8=2*(2^2)
(7^2)+1=50=2*(5^2)


  Posted by Math Man on 2016-10-22 11:49:50
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