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Mathematics
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FranckN
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17
Sum of $k {n \choose k}$ is $n2^{n-1}$
Feb 20, 2014
13
Alternating sum of binomial coefficients: given $n \in \mathbb N$, prove $\sum^n_{k=0}(-1)^k {n \choose k} = 0$ [duplicate]
Dec 18, 2013
11
Proof that there are infinitely many primes congruent to 3 modulo 4
Feb 10, 2014
9
Proof of a binomial identity $\sum_{k=0}^n {n \choose k}^{\!2} = {2n \choose n}.$
Feb 25, 2014
8
Proof by induction that $\alpha^n + \beta^n \in \mathbb Z$
Dec 13, 2013
6
Finding mod of X^2+1 = 0 to have exactly 4 solutions
Dec 10, 2013
6
Proof by induction that if $n \in \mathbb N$ then it can be written as sum of different Fibonacci numbers [duplicate]
Mar 6, 2014
4
Prove commutativity of product in natural numbers
Dec 10, 2013
4
How do you calculate a large power modulo a small number?
Feb 24, 2014
4
Proof involving maximum weight of edge in minimum spanning tree
May 28, 2014