How will a blank-slate AI first prove the infinitude of primes?
Mini
6
Ṁ362029
1D
1W
1M
ALL
47%
Euclid's Proof
7%
Euler's Proof
10%
Erdős's Proof
8%
Furstenburg's Topological Proof
7%
Proof via inclusion–exclusion
7%
Proof using de Polignac's formula
8%
Saidak's proof by construction
7%
The incompressibility method / Information-theoretic
See this market for a description of the kind of AI I am talking about.
There are several proofs of Euclid's theorem - the fact that there are infinitely many primes. This question resolves to whichever proof described on the Wikipedia page (at time of market creation) best captures the approach of the AI when it eventually does this.
Close date updated to 2029-12-31 5:59 pm
Get
1,000
and1.00
Related questions
Related questions
Will a blank-slate AI prove the infinitude of primes by 2025-11-03?
33% chance
Will AI resolve P vs NP by 2050?
36% chance
Will any AI be able to explain formal language proofs to >=50% of IMO problems by the start of 2025?
60% chance
Will an AI solve any important mathematical conjecture before January 1st, 2030?
78% chance
Will AIs be widely recognized as having developed a new, innovative, foundational mathematical theory before 2030?
32% chance
In 2029, will any AI be able to take an arbitrary proof in the mathematical literature and translate it into a form suitable for symbolic verification? (Gary Marcus benchmark #5)
71% chance
Will humans say the largest prime number before we find the next one?
28% chance
Before 2030, will an AI complete the Turing Test in the Kurzweil/Kapor Longbet?
53% chance
Will Artificial Intelligence solve a Millennium
Prize Problem before 2035?
45% chance
Will AIs be widely recognized as having developed a new, innovative, foundational mathematical theory before 2035?
43% chance