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Check this nice fact out!...

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Richard L. Peterson...
Posted: Fri Nov 06, 2009 2:20 pm
Guest
I'm sure it's well known but still: Let p be
prime and C(n,k) be the usual binomial coefficient.
Then C(np,kp) is congruent to C(n,k) mod p.
 
Richard L. Peterson...
Posted: Sun Nov 29, 2009 7:50 pm
Guest
[quote]I'm sure it's well known but still: Let p be
prime and C(n,k) be the usual binomial coefficient.
Then C(np,kp) is congruent to C(n,k) mod p.
[/quote]
This turns out to be a weakened statemant
of Wolstenholme's theorem, with "mod p"
where [mod p^3] could have been correctly
placed.
 
 
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