20 (which is an even # greater then 2)=7+13 (which are both prime #s)
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Counter Example
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A counter example
Counter example
A conjecture is an opinion based on incomplete information, or a guess. It need not be true - or even sensible. So my conjecture is that the sum of two fractions is greater than three quarters. That is a nonsensical conjecture, but it is a conjecture and that is what the question requires.