perplexus.info :: Numbers : Add 1 to Exponent*Number, Get Square

Add 1 to Exponent*Number, Get Square (Posted on 2023-07-02)

Determine all possible values of a nonnegative integer n such that;

• 2^n-1*n +1 is a perfect square.

Note: Adapted from a problem which appeared in a Georgia IMO.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

All possible values of the nonnegative integer n, satisfying the given conditions, are: 0 and 5.
For an explanation, refer to the solution submitted by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Solution	Brian Smith	2023-07-02 10:29:07
computer findings	Charlie	2023-07-02 10:09:16

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