Bart Michels
Some answers I am proud of:
- Proving the identity $\sum_{k=1}^n {k^3} = \big(\sum_{k=1}^n k\big)^2$ without induction
- Hat 'trick': Can one of them guess right?
- Elementary proof of Zsigmondy's theorem
- Proving $\sum_{k=0}^n{2k\choose k}{2n-2k\choose n-k}=4^n$ (combinatorial proof)
- Alternating sum of binomial coefficients: given $n \in \mathbb N$, prove $\sum^n_{k=0}(-1)^k {n \choose k} = 0$ (funny proof)
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Member for 8 years, 5 months
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Last seen Feb 9 at 12:01
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Top network posts
- 38 What is the mathematical notation for rounding a given number to the nearest integer?
- 31 Trigonometric diophantine equation $8\sin^2\left(\frac{(k+1)\pi}{n}\right)=n\sin\left(\frac{2\pi}{n}\right)$
- 31 Elementary proof of Zsigmondy's theorem
- 28 Elementary proof of Zsigmondy's theorem
- 23 Why shouldn't this prove the prime number theorem?
- 22 Proving that $\gcd(2^m - 1, 2^n - 1) = 2^{\gcd(m,n )} - 1$
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