Are all Fermat numbers squarefree?
Are all Fermat numbers squarefree?
Basic
2
Ṁ1102101
91%
chance
1D
1W
1M
ALL
Fermat numbers are numbers of the form Fₙ = 2^2^n + 1. Currently, all Fermat numbers whose factorizations have been worked out are squarefree, meaning they have no square factors.
This question is managed and resolved by Manifold.
Get
1,000and
3.00
1,0003.00What is this?
What is Manifold?
Manifold is the world's largest social prediction market.
Get accurate real-time odds on politics, tech, sports, and more.
Win cash prizes for your predictions on our sweepstakes markets! Always free to play. No purchase necessary.
Are our predictions accurate?
Yes! Manifold is very well calibrated, with forecasts on average within 4 percentage points of the true probability. Our probabilities are created by users buying and selling shares of a market.
In the 2022 US midterm elections, we outperformed all other prediction market platforms and were in line with FiveThirtyEight’s performance. Many people who don't like trading still use Manifold to get reliable news.
How do I win cash prizes?
Manifold offers two market types: play money and sweepstakes.
All questions include a play money market which uses mana and can't be cashed out.
and can't be cashed out.Selected markets will have a sweepstakes toggle. These require sweepcash to participate and winners can withdraw sweepcash as a cash prize. You can filter for sweepstakes markets on the browse page.
to participate and winners can withdraw sweepcash as a cash prize. You can filter for sweepstakes markets on the browse page.Redeem your sweepcash won from markets at 1.00 → $1.00, minus a 5% fee.
Learn more.1.00Related questions
What is this?
What is Manifold?
Manifold is the world's largest social prediction market.
Get accurate real-time odds on politics, tech, sports, and more.
Win cash prizes for your predictions on our sweepstakes markets! Always free to play. No purchase necessary.
Are our predictions accurate?
Yes! Manifold is very well calibrated, with forecasts on average within 4 percentage points of the true probability. Our probabilities are created by users buying and selling shares of a market.
In the 2022 US midterm elections, we outperformed all other prediction market platforms and were in line with FiveThirtyEight’s performance. Many people who don't like trading still use Manifold to get reliable news.
How do I win cash prizes?
Manifold offers two market types: play money and sweepstakes.
All questions include a play money market which uses mana and can't be cashed out.
and can't be cashed out.Selected markets will have a sweepstakes toggle. These require sweepcash to participate and winners can withdraw sweepcash as a cash prize. You can filter for sweepstakes markets on the browse page.
to participate and winners can withdraw sweepcash as a cash prize. You can filter for sweepstakes markets on the browse page.Redeem your sweepcash won from markets at 1.00 → $1.00, minus a 5% fee.
Learn more.1.00Related questions
Could Fermat have had a proof of Fermat's Last Theorem?
4% chance
Are there infinitely many composite Fermat numbers?
98% chance
Are there infinitely many Fermat primes?
4% chance
Is 65537 the largest Fermat prime?
93% chance
Are there any odd perfect numbers?
9% chance
Will we have a formalized proof of Fermat's last theorem by 2049-05-01?
91% chance
Will a proof of Fermat's Last Theorem simple enough for Fermat to have possessed be found by 2027?
5% chance
Will we have a formalized proof of Fermat's last theorem by 2029-05-01?
72% chance