Does the Collatz sequence reach 1 for all starting points below 10^100?
10
1kṀ2642
2099
91%
chance

https://en.wikipedia.org/wiki/Collatz_conjecture

It has been tested to about 10^21 so far:

https://pcbarina.fit.vutbr.cz/

  • Update 2025-12-25 (PST) (AI summary of creator comment): This market concerns natural numbers only (positive integers), not negative numbers. Negative numbers are excluded from consideration for this market's resolution.

Market context
Get
Ṁ1,000
to start trading!
Sort by:

You may want to do something about negative numbers. If you allow negative numbers, which are definitely below the figure you give, you get four different cycles. Not going to snipe-bet.

@JussiVilleHeiskanen this question is about the Collatz conjecture in its usual form, as described in the linked will article. That is, it refers to the natural numbers.

All tried so far by 2028 presumably, as all possible values up to that value wont have been checked one by one.

@AlanTennant no, all below 10^100.

opened a Ṁ1,000 YES at 70% order

Hopefully this is a large enough target that it requires substantial algorithmic or mathematical work, not merely testing larger numbers by current means.

© Manifold Markets, Inc.TermsPrivacy