Position 
Name of Theorem 
No. of votes 
1 
(Fermat’s Last Theorem) There are no positive integers x, y, and z such that in which n is a natural number greater than 2. 
52 
12 
29 
11 
2 

37 
4 
13 
20 
3 
There are infinitely many primes. 
24 
5 
11 
8 
4 

17 
5 
10 
2 
5 
is irrational. 
14 
4 
7 
3 
6 
Prime number theorem: . 
14 
2 
8 
4 
7 
π is transcendental. 
12 
4 
6 
2 
8 
A regular 17sided polygon can be constructed using compasses and straight edge. 
11 
3 
6 
2 
9 
In a party, there exist two people with the same number of friends. 
11 
4 
5 
2 
10 
(Four colour theorem) Using 4 colours, one can make adjacent regions in different colours on a planar map. 
10 
5 
1 
4 
11 
There is no general solution for polynomial equations of degree not less than 5. 
9 
2 
5 
2 
12 
Euler’s formula on polyhedron: V – E + F = 2, where V is the number of vertices, E is the number of edges and F is the number of faces. 
8 
1 
4 
3 
13 
. 
8 
2 
5 
1 
14 
There are only 5 regular polyhedra. 
5 
1 
2 
2 
15 
e is transcendental. 
5 
1 
4 
0 
16 
Any square matrix satisfies its characteristic equation. 
5 
2 
2 
1 
17 
A regular icosahedron inscribed in a regular octahedron divides the edges in the Golden Ratio. 
4 
0 
2 
2 
18 
There is a fixed point in any homeomorphism from the closed unit disc to itself. (Fixed point theorem) 
3 
0 
1 
2 
19 
For all (nice) closed surfaces in space, which bound a volume V and have a boundary area S, the following inequality holds:
with equality if and only if the surface is sphere.

3 
0 
2 
1 
20 
Every number greater than 77 is the sum of integers, the sum of whose reciprocals is 1. 
3 
1 
0 
2 
21 
We have a tetrahedron in which all three edges emanating from one of the vertices are perpendicular to each other, and let A, B and C be the areas of the faces that house a right angle, and let D be the area of the remaining face. Then we must have: . 
2 
2 
0 
0 
22 
The sum of the first N odd integers is the square of N. 
1 
1 
0 
0 
23 
The power set of a set of n elements has elements. 
1 
1 
0 
0 
24 
Primes in the form 4n + 1 can be uniquely expressed as the sum of two integers. 
0 
0 
0 
0 
25 
The order of a group is divisible by that of a subgroup. 
0 
0 
0 
0 