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# Famous Mathematician's Theorems Quiz Stats

#### by Burt_Reynolds  Plays Quiz Updated Nov 12, 2014

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Summary of Result Name % Correct
In a right angled triangle, the square of the hypotenuse, equals the sum of the squares of the two right angled edges of the triangle.Pythagorean Theorem
88.5%
For n > 2, no three integers a, b, c satisfy: a^n + b^n = c^n.Fermat's Last Theorem
61.7%
Any convex polyhedron with V vertices, F faces, and E edges is such that: V - E + F = 2.Euler's Formula
57.9%
There are infinitely many prime numbers. If there were finitely many, then the number obtained from multiplying all the primes then adding 1, would be divisible by a new prime.Euclid's Proof of Infinitely Many Primes
50.4%
A conjecture concerning the distribution of the zeros of the classical zeta function.Riemann Hypothesis
44.8%
Used to prove that there are uncountably many irrational numbers.Cantor's Diagonalisation Argument
35.4%
No consistent system of axioms whose theorems can be listed by an 'effective procedure' is capable of proving all facts about the natural numbers.Gödel's Incompleteness Theorem
30.3%
Every even integer greater than 2 can be expressed as the sum of two primes.Goldbach's Conjecture
27.7%
If two paths connect the same two points, and a function is holomorphic everywhere between them, then the two path integrals of the function are equal.Cauchy's Theorem
26.1%
The number of elements in any subgroup of a finite group, divides the number of elements in the group.Lagrange's Theorem
25.4%
Given events A and B, and a probability measure P, then: P(A | B) P(B) = P(B | A) P(A).Bayes' Theorem
25%
Every simply connected closed 3-manifold is homeomorphic to the 3-sphere.Poincare Conjecture
22.8%
There does not exist a set whose members are exactly those sets that are not members of themselvesRussell's Paradox
22.3%
(cos(x) + i sin(x) )^n = cos(nx) + i sin(nx)De Moivre's Formula
21.1%
The complement of the union of sets A and B, is the same as the intersection of the complements of A and B.De Morgan's Rule
19.3%
Summary of Result Name % Correct
The sequence of prime numbers contains arithmetic progressions of arbitrary length.Green-Tao Theorem
16.9%
Every non self intersecting loop in the plane divides the plane into an inside region and an outside region.Jordan Curve Theorem
14.9%
Every partially ordered set in which every totally ordered subset has an upper bound, contains at least one maximal element.Zorn's Lemma
14.1%
For sufficiently large n, then the number of distinct prime factors of n has the normal distribution with mean and variance log ( log (n) ).Erdős- Kac Theorem
13.8%
A subset of euclidean n-space is compact if and only if it is closed and bounded.Heine Borel Theorem
13%
Every continuous function from a closed ball in Euclidean space, into itself, has a fixed point.Brouwer Fixed Point Theorem
12.8%
Given an integer n, if n is even divide it by 2. If it is odd, multiply by 3 and then add 1. Continuing in this way, you always eventually reach 1.Collatz Conjecture
10.9%
If A and B are complete measure spaces, f an integrable function on A x B, then the integral of f with respect to the product measure, is the iterated integral of f on A, then B.Fubini's Theorem
10.8%
Any coloring of a sufficiently large complete graph contains a monochromatic complete subgraph of a given size.Ramsey's Theorem
10.2%
If parallel lines are drawn at a distance t apart, and a needle of length L < t is dropped, then with probability 2L /(pi)t, the needle will intersect a line.Buffon's Needle
9.9%
There are exactly n^(n-2) distinct trees on a set of n labeled vertices.Cayley's Formula
7.8%
Given a sequence of independent identically distributed random variables, then a tail event determined by this sequence either surely happens, or surely does not happen.Kolmogorov's Zero - One Law
6.9%
Given sets A, B then if |A| ≤ |B|, and |B| ≤ |A|, then: |A| = |B|.Cantor Schroeder Bernstein Theorem
6.5%
L^p is a complete normed vector space.Riesz Fischer Theorem
4.5%
Given an ergodic dynamical system, then the space average equals the time average almost everywhere.Birkhoff's Ergodic Theorem
3.1%

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