If is a prime and , then
If , then , thus
For example, and so where a is not divisible by 10
I think you can use this to solve the problem
Supose are positive integers so that and where and are integers and is not divisible by 10. Which is the minimum value can have?
The first thing I did was to find the values a,b,c should have to minimize the multiplication of factorials. Dividing 2010 by 3 = 670, then a=669, b=670 and c=671. Now I stuck, can someone help?