Why 24?
Write down three consecutive whole numbers none of which is a multiple of three. If you can’t do it, explain why.
Multiply any two consecutive even numbers together. Why is the product always a multiple of eight?
Take any prime number greater than 3, square it, subtract one and divide by 24.
Make a statement about what you notice about squaring prime numbers, subtracting 1, and dividing by 24 (a conjecture) and prove that what you say is always true.
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