perplexus.info :: Numbers : Some 2 Powers Sum to Factorial

Some 2 Powers Sum to Factorial (Posted on 2023-02-27)

Determine all possible triplets (p, q, n) of nonnegative integers that satisfy this equation:

                 2^p + 2^q = n!

Provide valid argument for your answer.

*** Adapted from a problem which appeared at the Harvard/MIT math Olympiad.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(p, q) = (2,1), (1,2), (4,3), (3,4) constitutes all possible solution to the given problem.
For an explanation, refer to the solution submitted by Paul in this location.

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

Subject	Author	Date
Another approach	hoodat	2023-02-28 16:09:47
Similar Solution	Paul	2023-02-27 16:25:22
Solution	Larry	2023-02-27 16:02:12
re: without proof of completeness	Jer	2023-02-27 14:00:54
without proof of completeness	Charlie	2023-02-27 12:46:52

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