Why 24?

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Take any prime number greater than $3$, square it, subtract one and divide by $24$. Make a statement about what you notice about dividing by $24$ (a conjecture) and prove that what you say is always true.

If you're stuck why not try this proof sorting activity?


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Published December 2000,January 2009,February 2010.