perplexus.info :: Numbers : Quaint Quadruplet Query

Quaint Quadruplet Query (Posted on 2022-06-06)

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:

                 p^x - q^x = 2^y

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 Subject	K Sengupta	2022-08-02 09:58:48
re(2): when x is odd - when x is even	xdog	2022-06-06 14:14:44
re: when x is odd - when x is even	Brian Smith	2022-06-06 12:40:16
when x is odd	xdog	2022-06-06 12:04:36
computer exploration -- no proof of completeness	Charlie	2022-06-06 08:08:37

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