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Going maximum with factorial(s) (Posted on 2008-10-24) Difficulty: 3 of 5
Consider all possible positive integer(s) M ≥ 5, such that (M)! is expressible as the product of (M-3) consecutive positive integers. For example, we observe that: 6! = 8*9*10 .

Determine the maximum value of M.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Some Thoughtsalgebraic exploration (proof?)Charlie2008-10-24 13:11:27
Some Thoughtscomputer exploration (spoiler? -- UBASIC program)Charlie2008-10-24 12:34:10
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