Theorems
Conjectures
100
If n+1 elements are stored in n sets, then at least one set will have at least 2 elements within it.
What is the Pigeon Hole Principle?
100
The Riemann-Zeta function has its zeros only at the negative even integers and complex numbers with real part 1/2.
What is the Riemann-Hypothesis?
200
This theorem allows for much simpler calculations when calculating a contour integral with poles within the interior of the contour.
What is Cauchy's Residue Theorem?
200
If you start with any positive natural number and repeatedly apply the following rules, you will always reach the number 1:
If n is even, divide by 2,
If n is odd, multiply by 3 and add 1
What is the Collatz Conjecture?
300
This type of function maps cauchy sequences to cauchy sequences.
What is a uniformly continuous function?
300
The gap between consecutive primes can be modeled as such:
pn+1 - pn = O((log pn)2)
What is Cramér's conjecture?
400
Every continuous function on a closed interval [a,b] can be uniformly distributed as closely as desired by a polynomial function.
What is the Weierstrass Approximation Theorem?
400
Every topological manifold which is closed, connected and has trivial fundamental group is homeomorphic to the three-dimensional sphere.
What is the Poincaré conjecture?
500
This theorem states that every symmetric matrix A has an ortho-normal eigenbasis.
What is the Spectral Theorem?
500
If G is loopless and has no Kt minor, then its chromatic number satisfies 
What is the Hadwiger Conjecture?