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#1 2008-11-16 12:09:52
- Kendra Sullivan
- Guest
Prime Numbers
Let
N=2x3x5x7x...131x137
be the product of the first 33 prime numbers. If you divide N+ 112 by the prime 37, the remainder will be what?
#2 2008-11-16 12:34:01
- mathsyperson
- Moderator
- Registered: 2005-06-22
- Posts: 4,900
Re: Prime Numbers
The important thing about N is that it's a multiple of 37.
Therefore, dividing N by 37 gives no remainder, and so your answer is just the remainder when dividing 112 by 37.
Why did the vector cross the road?
It wanted to be normal.
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