perplexus.info :: Just Math : Oddly Powered

Oddly Powered (Posted on 2013-10-25)

Given that N is an odd integer > 1 which is not divisible by 3.

Is floor(4^N - (2+√2)^N) always divisible by 112 for every possible value of N?
If so, prove it. Otherwise, provide a counterexample.

Submitted by K Sengupta

Rating: 4.0000 (2 votes)

Solution: (Hide)

The claim is always true.
For an explanation, refer to the solution submitted by broll in this location.

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

	Subject	Author	Date
	Possible solution.	broll	2013-10-25 13:33:06

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