perplexus.info :: Numbers : Absolute Crossed Perfect Square Surmise

Absolute Crossed Perfect Square Surmise (Posted on 2023-01-15)

Determine all possible integers n such that:

             abs(2ⁿ+5ⁿ-65)

is a perfect square.

Provide valid reasoning for your answer.

*** abs denotes the absolute value function.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

n=2, 4 are only the valid values that satisfy all the given conditions.
For an explanation, refer to the semi-analytic solution submitted by Larry in this location.

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

Subject	Author	Date
re: Solution	K Sengupta	2023-01-18 01:54:27
Solution	Larry	2023-01-15 07:59:18

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