Big questions. New possibilities.

What will become possible next?

Explore important unsolved problems, understand what a genuine breakthrough could change, and discover what can be built today without pretending the future is guaranteed.

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Possibilities worth exploring.

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Ideas sparked by the questions

A useful idea can begin before the breakthrough.

Prompts for curiosity, experimentation, and entrepreneurship—not predictions.

01Strongly supported

AI Optimization Workbench

A common interface that translates business constraints, benchmarks multiple solver strategies and returns the best feasible or optimal plan with an explanation of tradeoffs.

02Strongly supported

Simulation Trust Monitor

A monitoring layer that flags unstable residuals, mesh sensitivity, suspicious conservation error and out-of-distribution surrogate predictions.

03Strongly supported

Theorem Dependency Auditor

Extract and review explicit dependency edges such as “assuming RH,” “uses bounded gaps,” or “requires this lemma,” with citations and review states.

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The questions behind the possibilities

Hard questions, explained simply.

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Computer ScienceOpen

If a proposed solution is easy to check, must there also be a fast way to find it?

P versus NP

Optimization, planning, synthesis and parts of cybersecurity could change profoundly. You do not need to wait: products can already be built on today’s solvers and heuristics, with architecture designed to absorb future breakthroughs.

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MathematicsOpen

Can a smooth three-dimensional fluid flow become singular in finite time?

Navier–Stokes Existence and Smoothness

The immediate opportunity is not perfect weather prediction. It is faster, safer and more trustworthy simulation for engineering. A major proof could strengthen the theory behind those tools, but useful products can already be built today.

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MathematicsOpen

Is there a hidden rhythm behind the apparent disorder of prime numbers?

Riemann Hypothesis

Mostly stronger mathematical guarantees and a cascade of results that currently depend on RH. The near-term builder opportunity is in tools that organize those dependencies, verify large computations and turn advanced number theory into usable infrastructure.

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Possibility without hype

Every idea keeps its uncertainty visible.

IfSolved connects imagination to real sources and makes clear what is known, plausible, or still speculative.

How we keep it honest →