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Quaint Quadruplet Query (Posted on 2022-06-06) Difficulty: 3 of 5
Each of p and q is a prime number and each of x and y is a positive integer, with x greater than 1.

Find quadruplet(s) (p, q, x, y) that satisfy this equation:
                 px - qx = 2y
providing adequate reasons as to why there are no further solutions.

*** Adapted from a problem which appeared at the Brazilian Mathematical Olympiad in 1997.

No Solution Yet Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
No SubjectK Sengupta2022-08-02 09:58:48
re(2): when x is odd - when x is evenxdog2022-06-06 14:14:44
Hints/Tipsre: when x is odd - when x is evenBrian Smith2022-06-06 12:40:16
when x is oddxdog2022-06-06 12:04:36
Some Thoughtscomputer exploration -- no proof of completenessCharlie2022-06-06 08:08:37
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