These are large numbers that are related to unsolved problems. Some of these values are subject to change, e.g. bounds on solutions.
- If odd perfect numbers exist, they must be at least as large as \(10^{1500}\)[1].
- If Singmaster's conjecture holds for \(N=6\), then the second smallest number that satisfies this condition is \(61,218,182,743,304,701,891,431,482,520\approx 6.12\times 10^{28}\)[2]
- ↑ P. Ochem, M. Rao, Odd perfect numbers are greater than 10^1500 (2012, accessed 2020-11-11)
- ↑ T. D. Noe, Remark on sequence A003015 (2004)