perplexus.info :: Just Math : Product 2 Power Not

Product 2 Power Not (Posted on 2008-07-12)

Prove that there does not exist any triplet (A, B, C) of positive integers, that satisfy this equation:

(36A + B)(36B + A) = 2^C

Submitted by K Sengupta

Rating: 3.5000 (2 votes)

Solution: (Hide)

Gamer has submitted a comprehensive proof in this location.

Steve Herman has provided two extensions of the given problem here and here.

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

Subject	Author	Date
re: Contradiction solution (quicker but trickier)	K Sengupta	2008-07-23 12:25:15
re: And still further ...	K Sengupta	2008-07-23 12:24:21
And still further ...	Steve Herman	2008-07-12 23:32:06
And further ...	Steve Herman	2008-07-12 22:44:21
like it	xdog	2008-07-12 22:37:13
Contradiction solution (quicker but trickier)	Gamer	2008-07-12 17:33:39

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