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Sorta Platonic... (Posted on 2022-06-09) Difficulty: 4 of 5
Consider this Diophantine equation:
3a + 4b + 5c = 6d, where each of a, b, c, and d is a positive integer.

The famous ancient Greek philosopher and mathematician Plato was aware that a=b=c=d=3 is a solution.

Does there exist any further solution?

Authenticate your answer with valid arguments.

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

Comments: ( You must be logged in to post comments.)
  Subject Author Date
testing only to the limit of double precision floating pointCharlie2022-06-09 10:08:23
Solutioncomputer Solution without formal proofLarry2022-06-09 06:58:24
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