List of theorems

Here, as much for my convenience as anyone else’s, is a list of the theorems that have appeared here, with links.

1. Bézout’s theorem
2. The intermediate value theorem
3. Vinogradov’s three primes theorem
4. Van der Waerden’s theorem
5. The square root of 2 is irrational
6. The binomial theorem
7. The Banach-Tarski paradox
8. Eulerian circuits
9. Bachet’s duplication formula
10. Lagrange’s theorem in group theory
11. The pigeonhole principle
12. There are infinitely many primes
13. The fundamental theorem of arithmetic
14. Fermat’s little theorem
15. Lagrange’s theorem about sums of four squares
16. The inclusion-exclusion principle
17. Dirichlet’s theorem
18. The rational numbers are countable
19. There is a transcendental number
20. The Bolzano-Weierstrass theorem
21. The real numbers are uncountable
22. Szemerédi’s theorem
23. Waring’s problem
24. The Chinese remainder theorem
25. Erdős’s lower bound for the Ramsey numbers
26. The first isomorphism theorem
27. Wilson’s theorem
28. There are infinitely many Carmichael numbers
29. The law of quadratic reciprocity
30. Pythagorean triples
31. The non-zero integers (mod p) form a group under multiplication
32. The angle at the centre is twice the angle at the circumference
33. The size of Gauss sums
34. Hall’s marriage theorem
35. The best rational approximations come from continued fractions
36. The Cantor set is an uncountable set with zero measure
37. Sperner’s lemma
38. There is a primitive root modulo a prime
39. Euler’s criterion
40. Sperner’s lemma about coloured triangles
41. Gauss’s lemma
42. Fermat’s Last Theorem
43. The Steinitz Exchange Lemma

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