Is Dickson's conjecture true?
Basic
4
Ṁ2222101
92%
chance
1D
1W
1M
ALL
Dickson's conjecture states that for any finite set of tuples of integers (aᵢ, bᵢ) with the aᵢ all positive, there are infinitely many values of n such that aᵢn + bᵢ is prime for all i, unless there is a specific prime number p that always divides one of the linear forms aᵢn + bᵢ for any value of n.
Dickson's conjecture implies all the following conjectures:
/JosephNoonan/is-de-polignacs-conjecture-true
/JosephNoonan/is-the-first-hardylittlewood-conjec (at least according to OEIS wiki, though there's no citation for this, and it's not obvious how it follows)
/JosephNoonan/is-the-prime-patterns-conjecture-tr
/NcyRocks/are-there-infinitely-many-twin-prim
/JosephNoonan/are-there-infinitely-many-cousin-pr
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
Is the Birch and Swinnerton-Dyer conjecture true?
84% chance
Is Haborth's Conjecture true?
70% chance
Is Hadwiger's conjecture true?
58% chance
Is Goodman's Conjecture true?
71% chance
Is Levy's conjecture true?
90% chance
Is the Hodge conjecture true?
80% chance
Is Schanuel's conjecture true?
77% chance
Is Legendre's conjecture correct?
87% chance
Is Beal's conjecture true?
59% chance
Is the second Hardy-Littlewood conjecture true?
7% chance