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Factorial Quotient (
Posted on 20111119
)
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)
Comments: (
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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 20111119 23:01:33
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