Category:Unsolved problems in number theory
Existence of Odd Perfect Numbers
A perfect number is a positive integer that is equal to the sum of its proper divisors. All known perfect numbers are even, and it is unknown whether any odd perfect numbers exist. This remains one of the oldest unsolved problems in number theory. [1]
- ^ "The Oldest Unsolved Problem in Math." *Veritasium*, https://www.youtube.com/watch?v=Zrv1EDIqHkY.
Pages in category "Unsolved problems in number theory"
The following 123 pages are in this category, out of 123 total. This list may not reflect recent changes.
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- Schanuel's conjecture
- Schinzel's hypothesis H
- Scholz conjecture
- Second Hardy–Littlewood conjecture
- Serre's conjecture II
- Sexy primes
- Sierpiński number
- Singmaster's conjecture
- Safe and Sophie Germain primes
- Stark conjectures
- Sum of four cubes problem
- Sums of three cubes
- Superperfect number
- Supersingular prime (algebraic number theory)
- Szpiro's conjecture