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Some Powers Differ by 2001 (Posted on 2023-09-16) Difficulty: 3 of 5
Find all possible pairs (x,n) of positive integers that satisfy this equation:
xn+1 - (n+1)x = 2001
Prove that no further pair exists that satisfies all the given conditions.

Note: Computer program/excel solver assisted solutions are welcome, but a semi-analytic (p&p and hand calculator) methodology is preferred.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
No SubjectK Sengupta2023-11-02 02:07:51
No SubjectKatelyn Ortiz2023-11-01 14:39:37
No SubjectK Sengupta2023-09-21 10:55:53
No SubjectK Sengupta2023-09-21 10:55:47
No SubjectRudyard Nolan2023-09-21 09:25:59
No SubjectRudyard Nolan2023-09-21 09:25:03
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