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Some Powers Sum Square (Posted on 2008-07-04) Difficulty: 3 of 5
Determine all possible nonnegative integer(s) P such that 22P+1 + 2P + 1 is a perfect square.

See The Solution Submitted by K Sengupta    
Rating: 2.3333 (3 votes)

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No Subject | Comment 2 of 10 |

First non-negative = 0.

I'm trying to factor the LHS.  Along those lines, I'm looking for numbers where p and 2p+1 are squares.

Next in line is p=144, but I haven't verified this yields a square.

 


  Posted by xdog on 2008-07-04 21:41:50
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