perplexus.info :: Numbers : Power Crossed Factorial Poser

Power Crossed Factorial Poser (Posted on 2023-04-03)

Find all pairs (n, t) of positive integers that satisfy the equation:

                (n+1)^t - 1 = n!

Provide adequate reasoning for your answer.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(n,t)=(1,1), (2,1) and (4,2) are the only possible solutions.
For an explanation, refer to the analytic solution submitted by Brian Smith in this location.

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

Subject	Author	Date
Analytic Solution	Brian Smith	2023-04-03 23:41:46
Solution	Larry	2023-04-03 12:58:48

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