| 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 17-sided 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 |