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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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re: A084703 | Comment 4 of 10 |
(In reply to A084703 by xdog)

If p is set to 144, then KS's formula becomes 994646472819573284310764496293641680200912323895440633411551095322037266673428257046529

which is not a perfect square, as its square root is

31538016310788687337230666626187271461550815.1092460195773449832


  Posted by Charlie on 2008-07-04 23:13:56
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