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Factorial Quotient (Posted on 2011-11-19) Difficulty: 3 of 5
Find a positive integer p such that: (p+1)(p+2)....(p+500)/500! is an integer with no prime factors less than 500.

No Solution Yet Submitted by K Sengupta    
Rating: 4.5000 (2 votes)

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A start | Comment 1 of 4
(p+1)(p+2)...(p+500)/500! is the same as p+500 choose 500. Therefore, we need a number p such that p+500 choose 500 has no prime factors less than 500.

  Posted by Math Man on 2011-11-19 23:01:33
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