World Solve — A living repository of problems worth solving.

We don't know whether every possible strategy in complex multiplayer games can be reduced to a simpler, mathematically optimal decision rule.

open Global / Unspecified, Global

Game theory has solved many two-player scenarios completely, but multiplayer games with shifting alliances and incomplete information remain far less understood in full generality. This unresolved question has real implications for economics and political strategy.

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WS01283 · Logged by The Internet (gray_matter) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01283 Title: We don't know whether every possible strategy in complex multiplayer games can be reduced to a simpler, mathematically optimal decision rule. URL: https://www.worldsolve.org/index.php?api=problem&id=1283

We still haven't proven whether the exact value of certain famous infinite sums and series can always be expressed using simple, familiar mathematical constants.

open Global / Unspecified, Global

Some infinite series have been solved exactly, revealing elegant connections to constants like pi, while many similar-looking series remain stubbornly unresolved. This ongoing challenge continues to drive research in mathematical analysis.

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WS01284 · Logged by The Internet (longform_fan) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01284 Title: We still haven't proven whether the exact value of certain famous infinite sums and series can always be expressed using simple, familiar mathematical constants. URL: https://www.worldsolve.org/index.php?api=problem&id=1284

We haven't determined whether it's possible to build a truly complete and consistent mathematical system that can prove every true statement without any contradictions.

open Global / Unspecified, Global

Gödel's theorems already limit what's possible here for sufficiently powerful systems, but the full landscape of alternative systems and their limitations remains an active and unresolved area of mathematical logic. This continues to shape our understanding of the foundations of mathematics itself.

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WS01285 · Logged by The Internet (citizen_of_earth) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01285 Title: We haven't determined whether it's possible to build a truly complete and consistent mathematical system that can prove every true statement without any contradictions. URL: https://www.worldsolve.org/index.php?api=problem&id=1285

We don't know whether there's a way to definitively prove or disprove Legendre's conjecture about primes always existing between consecutive perfect squares.

open Global / Unspecified, Global

This long-standing conjecture claims there's always at least one prime number between any two consecutive perfect squares, and while verified extensively by computer, no general proof exists. Solving it would sharpen our understanding of prime distribution.

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WS01286 · Logged by The Internet (gray_matter) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01286 Title: We don't know whether there's a way to definitively prove or disprove Legendre's conjecture about primes always existing between consecutive perfect squares. URL: https://www.worldsolve.org/index.php?api=problem&id=1286

We still haven't resolved whether every finite set of straight lines drawn on a plane must always create at least one region shaped like a specific simple polygon.

open Global / Unspecified, Global

Combinatorial geometry problems like this remain partially solved for specific shapes and configurations, but a fully general guarantee across all possible line arrangements is still unproven. This connects visual intuition with rigorous mathematical guarantees.

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WS01287 · Logged by The Internet (open_thinker) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01287 Title: We still haven't resolved whether every finite set of straight lines drawn on a plane must always create at least one region shaped like a specific simple polygon. URL: https://www.worldsolve.org/index.php?api=problem&id=1287

We haven't proven whether it's possible to always determine, using only a finite number of steps, whether two given mathematical expressions are truly equivalent.

open Global / Unspecified, Global

Certain classes of expressions can be checked for equivalence efficiently, but a fully general and guaranteed method covering every possible mathematical expression remains unresolved. This unresolved question has real consequences for automated theorem proving and symbolic computation.

mathematics-logic global-unspecified whether possible mathematical expressions haven proven always determine only finite know resolved philosophy-ethics every

WS01288 · Logged by The Internet (seaglass) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01288 Title: We haven't proven whether it's possible to always determine, using only a finite number of steps, whether two given mathematical expressions are truly equivalent. URL: https://www.worldsolve.org/index.php?api=problem&id=1288

We don't know whether the exact minimum number of distinct prime factors needed to guarantee certain number-theoretic properties has a simple, complete formula.

open Global / Unspecified, Global

Various conjectures link the number of prime factors a number has to specific patterns of behavior, but many of these connections remain only partially proven. This continues to be explored within analytic number theory.

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WS01289 · Logged by The Internet (the_lurker) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01289 Title: We don't know whether the exact minimum number of distinct prime factors needed to guarantee certain number-theoretic properties has a simple, complete formula. URL: https://www.worldsolve.org/index.php?api=problem&id=1289

We still haven't determined whether it's possible to perfectly predict the outcome of any sufficiently complex cellular automaton using a simpler mathematical shortcut.

open Global / Unspecified, Global

Some cellular automata, like simple grid-based rule systems, produce behavior so complex that no shortcut prediction method has been proven to exist beyond simply running the simulation. This unresolved question touches on computational irreducibility and the philosophy of prediction.

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WS01290 · Logged by The Internet (echo_chamber_no) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01290 Title: We still haven't determined whether it's possible to perfectly predict the outcome of any sufficiently complex cellular automaton using a simpler mathematical shortcut. URL: https://www.worldsolve.org/index.php?api=problem&id=1290

We haven't resolved whether every possible strategy for a resource-limited economy can be mathematically proven to reach a stable, efficient equilibrium.

open Global / Unspecified, Global

Economic models often assume equilibrium is reachable under certain conditions, but proving this holds true across every possible complex real-world scenario remains mathematically incomplete. This connects pure mathematics directly to economic theory.

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WS01291 · Logged by The Internet (curious_mind93) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01291 Title: We haven't resolved whether every possible strategy for a resource-limited economy can be mathematically proven to reach a stable, efficient equilibrium. URL: https://www.worldsolve.org/index.php?api=problem&id=1291

We don't know whether it's possible to construct a truly unbreakable code using only mathematical principles without relying on unproven computational hardness assumptions.

open Global / Unspecified, Global

Modern cryptography largely depends on problems assumed, but not proven, to be computationally hard, leaving a theoretical gap in fully guaranteed security. This unresolved foundation underlies much of digital security today.

mathematics-logic global-unspecified don know whether possible construct truly unbreakable code only mathematical haven philosophy-ethics resolved every

WS01292 · Logged by The Internet (hello_world) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01292 Title: We don't know whether it's possible to construct a truly unbreakable code using only mathematical principles without relying on unproven computational hardness assumptions. URL: https://www.worldsolve.org/index.php?api=problem&id=1292

We still haven't proven whether the number of primes below any given number always follows the same smooth approximation as its size grows infinitely large.

open Global / Unspecified, Global

The Prime Number Theorem offers an excellent approximation, but the finer details of exactly how actual prime counts deviate from this smooth prediction remain tied to the still-unproven Riemann Hypothesis. Fully resolving this would refine one of number theory's most central results.

mathematics-logic global-unspecified number smooth approximation haven proven whether primes below any given every know possible mathematical

WS01293 · Logged by The Internet (curious_mind93) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01293 Title: We still haven't proven whether the number of primes below any given number always follows the same smooth approximation as its size grows infinitely large. URL: https://www.worldsolve.org/index.php?api=problem&id=1293

We don't know whether it's mathematically possible to guarantee a perfectly fair outcome in any negotiation involving more than two parties with conflicting interests.

open Global / Unspecified, Global

Fair division theory has strong results for two-party negotiations, but multi-party fairness guarantees become significantly harder to prove in full generality. This unresolved area connects mathematics with real-world conflict resolution.

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WS01294 · Logged by The Internet (future_watch) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01294 Title: We don't know whether it's mathematically possible to guarantee a perfectly fair outcome in any negotiation involving more than two parties with conflicting interests. URL: https://www.worldsolve.org/index.php?api=problem&id=1294

We still haven't resolved whether every sufficiently large randomly generated network must always contain a specific guaranteed substructure.

open Global / Unspecified, Global

Random graph theory offers probabilistic guarantees for many structures, but proving certainty, rather than high likelihood, for every possible case remains an unresolved and active research area. This affects our understanding of networks in biology, technology, and social systems.

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WS01295 · Logged by The Internet (the_lurker) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01295 Title: We still haven't resolved whether every sufficiently large randomly generated network must always contain a specific guaranteed substructure. URL: https://www.worldsolve.org/index.php?api=problem&id=1295

We haven't proven whether there's a general method for determining the exact number of ways any given shape can be divided into smaller identical pieces.

open Global / Unspecified, Global

Dissection problems, which ask how shapes can be cut and rearranged, often lack complete general solutions beyond specific well-studied cases. This remains an open and often surprisingly difficult area of combinatorial geometry.

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WS01296 · Logged by The Internet (citizen_of_earth) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01296 Title: We haven't proven whether there's a general method for determining the exact number of ways any given shape can be divided into smaller identical pieces. URL: https://www.worldsolve.org/index.php?api=problem&id=1296

We don't know whether it's possible to fully characterize every mathematical function that behaves unpredictably despite following a simple, deterministic rule.

open Global / Unspecified, Global

Some deterministic functions produce output so irregular it resembles randomness, and a complete classification of exactly which rules produce this behavior remains incomplete. This unresolved boundary connects number theory, chaos theory, and computer science.

mathematics-logic global-unspecified deterministic don know whether possible fully characterize every mathematical function haven philosophy-ethics resolved

WS01297 · Logged by The Internet (late_night_reader) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01297 Title: We don't know whether it's possible to fully characterize every mathematical function that behaves unpredictably despite following a simple, deterministic rule. URL: https://www.worldsolve.org/index.php?api=problem&id=1297

We still haven't determined whether every possible strategy game with hidden information can be reduced to an equivalent game with no hidden information at all.

open Global / Unspecified, Global

Games involving bluffing or incomplete knowledge, like certain card games, resist the same clean mathematical solutions available for games of complete information. This unresolved question remains central to advanced game theory research.

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WS01298 · Logged by The Internet (hello_world) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01298 Title: We still haven't determined whether every possible strategy game with hidden information can be reduced to an equivalent game with no hidden information at all. URL: https://www.worldsolve.org/index.php?api=problem&id=1298

We haven't resolved whether it's possible to prove the exact largest possible size of certain mathematical structures without relying on exhaustive computer search.

open Global / Unspecified, Global

Some extremal problems in combinatorics have only been resolved through massive computational brute force, without a more elegant general proof explaining why the answer must be exactly what it is. This unresolved gap raises questions about the nature of mathematical understanding itself.

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WS01299 · Logged by The Internet (field_notes) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01299 Title: We haven't resolved whether it's possible to prove the exact largest possible size of certain mathematical structures without relying on exhaustive computer search. URL: https://www.worldsolve.org/index.php?api=problem&id=1299

We don't know whether the digits of numbers produced by simple recursive rules always eventually reveal detectable, non-random patterns.

open Global / Unspecified, Global

Certain recursively defined sequences appear statistically random for enormous stretches, yet whether hidden structure always eventually emerges remains an open and evolving question. This connects deeply to both number theory and the study of pseudorandomness.

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WS01300 · Logged by The Internet (gray_matter) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01300 Title: We don't know whether the digits of numbers produced by simple recursive rules always eventually reveal detectable, non-random patterns. URL: https://www.worldsolve.org/index.php?api=problem&id=1300

We still haven't proven whether it's possible to guarantee a solution exists for every well-posed system of nonlinear equations, even without finding it explicitly.

open Global / Unspecified, Global

While many specific systems have proven solutions, a complete general guarantee across every well-posed nonlinear system remains one of mathematics' harder open questions. This affects fields ranging from physics to engineering that rely on such systems.

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WS01301 · Logged by The Internet (hello_world) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01301 Title: We still haven't proven whether it's possible to guarantee a solution exists for every well-posed system of nonlinear equations, even without finding it explicitly. URL: https://www.worldsolve.org/index.php?api=problem&id=1301

We haven't determined whether every finite geometric shape can always be perfectly reconstructed from a limited set of simple measurements.

open Global / Unspecified, Global

Reconstruction problems in geometry ask how much partial information is truly enough to rebuild a full shape with certainty, and general limits for all shape classes remain incompletely understood. This connects pure mathematics to practical fields like imaging and tomography.

mathematics-logic global-unspecified shape haven determined whether every finite geometric always perfectly reconstructed possible know mathematical resolved philosophy-ethics

WS01302 · Logged by The Internet (echo_chamber_no) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01302 Title: We haven't determined whether every finite geometric shape can always be perfectly reconstructed from a limited set of simple measurements. URL: https://www.worldsolve.org/index.php?api=problem&id=1302

What World Solve is

We don't know whether every possible strategy in complex multiplayer games can be reduced to a simpler, mathematically optimal decision rule.

We still haven't proven whether the exact value of certain famous infinite sums and series can always be expressed using simple, familiar mathematical constants.

We haven't determined whether it's possible to build a truly complete and consistent mathematical system that can prove every true statement without any contradictions.

We don't know whether there's a way to definitively prove or disprove Legendre's conjecture about primes always existing between consecutive perfect squares.

We still haven't resolved whether every finite set of straight lines drawn on a plane must always create at least one region shaped like a specific simple polygon.

We haven't proven whether it's possible to always determine, using only a finite number of steps, whether two given mathematical expressions are truly equivalent.

We don't know whether the exact minimum number of distinct prime factors needed to guarantee certain number-theoretic properties has a simple, complete formula.

We still haven't determined whether it's possible to perfectly predict the outcome of any sufficiently complex cellular automaton using a simpler mathematical shortcut.

We haven't resolved whether every possible strategy for a resource-limited economy can be mathematically proven to reach a stable, efficient equilibrium.

We don't know whether it's possible to construct a truly unbreakable code using only mathematical principles without relying on unproven computational hardness assumptions.

We still haven't proven whether the number of primes below any given number always follows the same smooth approximation as its size grows infinitely large.

We don't know whether it's mathematically possible to guarantee a perfectly fair outcome in any negotiation involving more than two parties with conflicting interests.

We still haven't resolved whether every sufficiently large randomly generated network must always contain a specific guaranteed substructure.

We haven't proven whether there's a general method for determining the exact number of ways any given shape can be divided into smaller identical pieces.

We don't know whether it's possible to fully characterize every mathematical function that behaves unpredictably despite following a simple, deterministic rule.

We still haven't determined whether every possible strategy game with hidden information can be reduced to an equivalent game with no hidden information at all.

We haven't resolved whether it's possible to prove the exact largest possible size of certain mathematical structures without relying on exhaustive computer search.

We don't know whether the digits of numbers produced by simple recursive rules always eventually reveal detectable, non-random patterns.

We still haven't proven whether it's possible to guarantee a solution exists for every well-posed system of nonlinear equations, even without finding it explicitly.

We haven't determined whether every finite geometric shape can always be perfectly reconstructed from a limited set of simple measurements.