Stage: 5 Challenge Level: 
Find the smallest numbers $a, b$, and $c$ such that: $$a^2 = 2 b^3 = 3 c^5$$ What can you say about other solutions to this problem?
Surds. Prime factors. epsilons. Inequality/inequalities. alphas. Summation of series. Powers & roots. Mathematical reasoning & proof. Common factors. Stage 5 - Reviewed 2012.
Published February 2000.
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