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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