Conjectures

Depths of understanding

1. 1

   Foundation

   You can say what a conjecture is, state Goldbach's conjecture and the twin prime conjecture, and tell a conjecture from something that has been proved.

   • Watch · 40 sTwo primes for every even number

   Opens after

   Prime numbersGoldbach's conjecture and the twin prime conjecture are both about prime numbers.Mathematical proofA conjecture is a statement that has been checked but not proved, so you need to know what a proof is.

Your path here

What's still between you and Conjectures, depth 1, in the order you can learn it.

1. 1CountingDepth 1 · Foundation · Number Systems
2. 2Natural numbersDepth 1 · Foundation · Number Systems
3. 3ZeroDepth 1 · Foundation · Number Systems
4. 4The number lineDepth 1 · Foundation · Number Systems
5. 5AdditionDepth 1 · Foundation · Arithmetic
6. 6MultiplicationDepth 1 · Foundation · Arithmetic
7. 7MultiplesDepth 1 · Foundation · Number Theory
8. 8FactorsDepth 1 · Foundation · Number Theory
9. 9Prime numbersDepth 1 · Foundation · Number Theory
10. 10NumeralsDepth 1 · Foundation · Number Systems
11. 11Place valueDepth 1 · Foundation · Number Systems
12. 12Comparing numbersDepth 1 · Foundation · Number Systems
13. 13IntegersDepth 1 · Foundation · Number Systems
14. 14SubtractionDepth 1 · Foundation · Arithmetic
15. 15DivisionDepth 1 · Foundation · Arithmetic
16. 16Even and odd numbersDepth 1 · Foundation · Arithmetic
17. 17Even and odd numbersDepth 2 · Deeper · Arithmetic
18. 18ClaimDepth 1 · Foundation · Logic
19. 19ArgumentDepth 1 · Foundation · Logic
20. 20ValidityDepth 1 · Foundation · Logic
21. 21CounterexampleDepth 1 · Foundation · Logic
22. 22Mathematical proofDepth 1 · Foundation · Sets and Proof
23. 23ConjecturesDepth 1 · Foundation · Sets and Proof