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Dangerous Expression for Rationals (Posted on 2013-03-31) Difficulty: 3 of 5
Prove or disprove the following statement:

Each positive rational number can be written in the form: (a^2+b^3)/(c^5+d^7)
where a,b,c,d are positive integers.

No Solution Yet Submitted by Danish Ahmed Khan    
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re(3): Question? Comment 5 of 5 |
(In reply to re(2): Question? by Salil)

The way I looked at it there are four degrees of freedom in the given expression, which could very well be enough, given that the fractions need not be in simplest (reduced) form.
  Posted by Charlie on 2013-04-05 09:28:17

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