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Product-Difference Crossed Power Poser (Posted on 2023-04-15) Difficulty: 4 of 5
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
Some ThoughtssolutionLarry2023-04-15 13:39:55
Some ThoughtsNo SubjectCharlie2023-04-15 10:58:47
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