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This month:
Stage 1&2
Stage 2&3
Stage 3&4
Stage 4&5
A Biggy
Problem
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Solution
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Printable page
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Stage: 4 Challenge Level:
Find the smallest positive integer $N$ such that \[{N\over 2} \] is a perfect cube, \[{N\over 3} \] is a perfect fifth power and \[{N\over 5} \] is a perfect seventh power.
Inequality/inequalities
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Mathematical reasoning & proof
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Dynamical systems
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Prime factors
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Number theory
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Factors and multiples
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Stage 5 - Reviewed 2012
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Patterned numbers
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Manipulating algebraic expressions/formulae
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Index notation/Indices
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Published November 2001.
Help With Mathematical Display