perplexus.info :: Numbers : Product-Difference Crossed Power Poser

Product-Difference Crossed Power Poser (Posted on 2023-04-15)

Determine all possible triplet(s) of positive integers such that each of p*q-r, q*r-p, and r*p-q is a power of 2.
*** Adapted from a problem appearing in IMO 2015.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(p,q,r)=(2,2,2), (2,2,3),(3,5,7),(2,6,11)
For an explanation, refer to the solution submitted by Larry in this location.

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

Subject	Author	Date
solution	Larry	2023-04-15 13:39:55
No Subject	Charlie	2023-04-15 10:58:47

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