Tagged Questions
13
votes
1answer
540 views
A proof of Wolstenholme's theorem
This was inspired by this question. I tried to use the identity
$${2n \choose n}=\sum_{k=0}^n {n \choose k}^2$$
(see this question) to prove that $$\binom{2p}p\equiv2\pmod{p^3}$$ if $p\gt3$ is ...
10
votes
1answer
915 views
The Hexagonal Property of Pascal's Triangle
Any hexagon in Pascal's triangle, whose vertices are 6 binomial coefficients surrounding any entry, has the property that:
the product of non-adjacent vertices is constant.
the greatest common ...
