We haven't developed a spacesuit that lets astronauts work efficiently for extended periods without fatigue.
open
Global / Unspecified, Global
Current spacesuits are bulky, tiring, and limit fine motor movement, making long spacewalks physically exhausting. A more agile suit would make space construction and repair work far more practical.
science-space
global-unspecified
work
haven
developed
spacesuit
lets
astronauts
efficiently
extended
periods
fatigue
whether
mathematics-logic
technology-computing
make
mathematical
solved
Citation ID: WS00156
Title: We haven't developed a spacesuit that lets astronauts work efficiently for extended periods without fatigue.
URL: https://www.worldsolve.org/index.php?api=problem&id=156
We can't reliably predict solar flares before they disrupt satellites and power grids on Earth.
open
Global / Unspecified, Global
A severe solar storm could knock out satellites, GPS, and even electrical grids with little warning. Better prediction would give critical infrastructure time to prepare or shut down safely.
science-space
global-unspecified
solar
satellites
grids
reliably
predict
flares
disrupt
power
earth
severe
infrastructure
climate-environment
whether
haven
africa
waste
Citation ID: WS00155
Title: We can't reliably predict solar flares before they disrupt satellites and power grids on Earth.
URL: https://www.worldsolve.org/index.php?api=problem&id=155
We don't fully understand how magnetic fields form and behave inside planets like Earth.
open
Global / Unspecified, Global
Earth's magnetic field protects us from solar radiation, but the dynamo process that generates it deep underground is still only partly understood. This matters for predicting how long that protection will last.
climate-environment
global-unspecified
magnetic
earth
don
fully
understand
fields
form
behave
inside
planets
science-space
whether
mathematics-logic
philosophy-ethics
know
haven
Citation ID: WS00154
Title: We don't fully understand how magnetic fields form and behave inside planets like Earth.
URL: https://www.worldsolve.org/index.php?api=problem&id=154
We haven't built a telescope capable of directly imaging surface features on planets outside our solar system.
open
Global / Unspecified, Global
Right now we can only detect exoplanets indirectly, through shadows and wobbles in starlight. Direct imaging would let us actually study alien landscapes and atmospheres instead of just inferring their existence.
climate-environment
global-unspecified
imaging
haven
built
telescope
capable
directly
surface
features
planets
outside
whether
philosophy-ethics
people
determine
technology-computing
study
Citation ID: WS00153
Title: We haven't built a telescope capable of directly imaging surface features on planets outside our solar system.
URL: https://www.worldsolve.org/index.php?api=problem&id=153
We can't explain the exact mechanism that triggers a supernova in real time.
open
Global / Unspecified, Global
We understand the general physics of dying stars, but the precise trigger moment inside a collapsing star remains difficult to observe and model. Solving this would sharpen predictions about stellar life cycles across the universe.
science-space
global-unspecified
explain
exact
mechanism
triggers
supernova
real
time
understand
general
physics
whether
mathematics-logic
possible
haven
every
philosophy-ethics
Citation ID: WS00152
Title: We can't explain the exact mechanism that triggers a supernova in real time.
URL: https://www.worldsolve.org/index.php?api=problem&id=152
We haven't figured out how to build a permanent, self-sustaining base on the Moon.
open
Global / Unspecified, Global
Every lunar mission so far has been short-term, relying entirely on supplies brought from Earth. A base that grows its own food, recycles its own water, and generates its own power would prove long-term space settlement is possible.
science-space
global-unspecified
base
its
own
haven
figured
out
build
permanent
self-sustaining
moon
whether
know
philosophy-ethics
mathematics-logic
resolved
possible
Citation ID: WS00151
Title: We haven't figured out how to build a permanent, self-sustaining base on the Moon.
URL: https://www.worldsolve.org/index.php?api=problem&id=151
We don't know whether P equals NP, or whether some problems are fundamentally harder to solve than to check.
open
Global / Unspecified, Global
If P equaled NP, countless hard problems in logistics, cryptography, and optimization could be solved efficiently, but most computer scientists suspect they can't. This remains the most famous open question in computer science.
technology-computing
global-unspecified
whether
don
know
equals
some
fundamentally
harder
solve
check
computer
philosophy-ethics
haven
mathematics-logic
resolved
possible
determine
Citation ID: WS01229
Title: We don't know whether P equals NP, or whether some problems are fundamentally harder to solve than to check.
URL: https://www.worldsolve.org/index.php?api=problem&id=1229
We haven't proven the Riemann Hypothesis, which predicts exactly where the building blocks of prime numbers hide.
open
Global / Unspecified, Global
This conjecture about the zeros of a specific complex function would, if proven, tighten our understanding of how primes are distributed among all integers. It's considered one of the most important unsolved problems in mathematics.
mathematics-logic
global-unspecified
proven
haven
riemann
hypothesis
predicts
exactly
building
blocks
prime
numbers
whether
know
every
possible
mathematical
number
Citation ID: WS01230
Title: We haven't proven the Riemann Hypothesis, which predicts exactly where the building blocks of prime numbers hide.
URL: https://www.worldsolve.org/index.php?api=problem&id=1230
We still don't know if every mathematical statement that seems true can eventually be proven within a single consistent system.
open
Global / Unspecified, Global
Gödel's incompleteness theorems already showed some truths escape any fixed formal system, but the full boundary between provable and unprovable truths remains an active area of exploration. This shapes how we understand the limits of formal reasoning itself.
mathematics-logic
global-unspecified
system
don
know
every
mathematical
statement
seems
true
eventually
proven
whether
possible
haven
philosophy-ethics
resolved
Citation ID: WS01231
Title: We still don't know if every mathematical statement that seems true can eventually be proven within a single consistent system.
URL: https://www.worldsolve.org/index.php?api=problem&id=1231
We haven't determined whether the number of solutions to certain simple equations in whole numbers is always finite or sometimes infinite.
open
Global / Unspecified, Global
Many Diophantine equations, which ask for whole-number solutions, resist any general method for predicting how many solutions exist. Solving specific cases has taken decades and earned major mathematical prizes.
mathematics-logic
global-unspecified
solutions
equations
haven
determined
whether
number
certain
simple
whole
numbers
possible
every
know
mathematical
resolved
philosophy-ethics
Citation ID: WS01232
Title: We haven't determined whether the number of solutions to certain simple equations in whole numbers is always finite or sometimes infinite.
URL: https://www.worldsolve.org/index.php?api=problem&id=1232
We don't know whether every sufficiently large even number can be reached by adding two numbers that are each a prime or one more than a prime.
open
Global / Unspecified, Global
This weaker cousin of Goldbach's Conjecture illustrates how even modest-sounding claims about primes can remain unproven for centuries. It highlights how little we still understand about the raw arithmetic of prime numbers.
mathematics-logic
global-unspecified
prime
even
numbers
don
know
whether
every
sufficiently
large
number
haven
possible
proven
Citation ID: WS01233
Title: We don't know whether every sufficiently large even number can be reached by adding two numbers that are each a prime or one more than a prime.
URL: https://www.worldsolve.org/index.php?api=problem&id=1233
We still haven't proven whether there are infinitely many prime numbers of the form found in Mersenne's sequence.
open
Global / Unspecified, Global
Mersenne primes, of the form two raised to a power minus one, are the largest primes ever discovered, but no one has proven that the list never ends. Finding new ones remains an active computational hunt.
mathematics-logic
global-unspecified
proven
form
mersenne
haven
whether
there
infinitely
prime
numbers
found
know
possible
every
mathematical
philosophy-ethics
Citation ID: WS01234
Title: We still haven't proven whether there are infinitely many prime numbers of the form found in Mersenne's sequence.
URL: https://www.worldsolve.org/index.php?api=problem&id=1234
We haven't resolved whether the digits of pi contain every possible finite sequence of numbers somewhere within them.
open
Global / Unspecified, Global
If pi is what mathematicians call 'normal,' every string of digits, including your birthday or an entire book encoded in numbers, would appear infinitely often. No proof exists either way, despite pi's digits being computed to trillions of places.
mathematics-logic
global-unspecified
digits
every
numbers
haven
resolved
whether
contain
possible
finite
sequence
know
mathematical
philosophy-ethics
Citation ID: WS01235
Title: We haven't resolved whether the digits of pi contain every possible finite sequence of numbers somewhere within them.
URL: https://www.worldsolve.org/index.php?api=problem&id=1235
We don't know how to efficiently factor extremely large numbers into their prime components.
open
Global / Unspecified, Global
This difficulty is exactly what keeps most modern encryption secure, since multiplying primes together is easy but reversing the process is not. If an efficient method were found, it could upend the security of the internet as we know it.
mathematics-logic
global-unspecified
know
don
efficiently
factor
extremely
large
numbers
prime
components
difficulty
whether
haven
possible
every
philosophy-ethics
resolved
Citation ID: WS01236
Title: We don't know how to efficiently factor extremely large numbers into their prime components.
URL: https://www.worldsolve.org/index.php?api=problem&id=1236
We still haven't determined the exact boundary of how densely objects can be packed into higher-dimensional spaces.
open
Global / Unspecified, Global
Sphere-packing problems are solved for a few specific dimensions, but the general pattern across all possible dimensions remains unknown. This affects fields ranging from error-correcting codes to theoretical physics.
science-space
global-unspecified
haven
determined
exact
boundary
densely
objects
packed
higher-dimensional
spaces
dimensions
mathematics-logic
whether
possible
every
know
resolved
Citation ID: WS01237
Title: We still haven't determined the exact boundary of how densely objects can be packed into higher-dimensional spaces.
URL: https://www.worldsolve.org/index.php?api=problem&id=1237
We haven't proven whether chess, in principle, always has a guaranteed winning or drawing strategy for one side from the starting position.
open
Global / Unspecified, Global
Despite chess being fully deterministic with no hidden information, its complexity is so vast that no one has proven who truly holds the advantage under perfect play. Solving smaller games has offered clues, but full chess remains unresolved.
mathematics-logic
global-unspecified
chess
has
proven
haven
whether
principle
always
guaranteed
winning
drawing
possible
know
every
philosophy-ethics
mathematical
resolved
Citation ID: WS01238
Title: We haven't proven whether chess, in principle, always has a guaranteed winning or drawing strategy for one side from the starting position.
URL: https://www.worldsolve.org/index.php?api=problem&id=1238
We don't know whether every knot can be told apart from every other knot using a simple, efficient test.
open
Global / Unspecified, Global
Mathematicians have many tools for distinguishing knots, but no single method works perfectly and efficiently for every possible case. This unsolved problem sits at the heart of the mathematical field of knot theory.
mathematics-logic
global-unspecified
every
knot
don
know
whether
told
apart
simple
efficient
possible
haven
philosophy-ethics
resolved
mathematical
Citation ID: WS01239
Title: We don't know whether every knot can be told apart from every other knot using a simple, efficient test.
URL: https://www.worldsolve.org/index.php?api=problem&id=1239
We still haven't proven the Collatz Conjecture, a strikingly simple rule that seems to always lead back to one.
open
Global / Unspecified, Global
Starting from any positive number and repeatedly applying a basic rule always seems to eventually reach the number one, but no proof confirms this holds for every possible starting point. Its simplicity contrasted with its difficulty has made it famous among mathematicians and hobbyists alike.
mathematics-logic
global-unspecified
rule
seems
always
haven
proven
collatz
conjecture
strikingly
simple
lead
whether
possible
every
know
mathematical
resolved
Citation ID: WS01240
Title: We still haven't proven the Collatz Conjecture, a strikingly simple rule that seems to always lead back to one.
URL: https://www.worldsolve.org/index.php?api=problem&id=1240
We haven't resolved how many unit squares are needed, at minimum, to tile a square of a given odd size without overlaps or gaps.
open
Global / Unspecified, Global
Certain simple-sounding tiling and packing puzzles remain surprisingly resistant to a complete general solution. These problems test the limits of combinatorics and geometric reasoning.
mathematics-logic
global-unspecified
haven
resolved
unit
squares
needed
minimum
tile
square
given
odd
whether
possible
every
mathematical
know
proven
Citation ID: WS01241
Title: We haven't resolved how many unit squares are needed, at minimum, to tile a square of a given odd size without overlaps or gaps.
URL: https://www.worldsolve.org/index.php?api=problem&id=1241
We don't know whether every simply connected three-dimensional shape without holes can always be continuously deformed into a sphere.
open
Global / Unspecified, Global
This question, closely related to the once-open Poincaré Conjecture, has been resolved in three dimensions but opens further mysteries in higher-dimensional analogues. Exploring these generalizations remains an active area of topology.
mathematics-logic
global-unspecified
don
know
whether
every
simply
connected
three-dimensional
shape
holes
always
haven
possible
resolved
philosophy-ethics
mathematical
Citation ID: WS01242
Title: We don't know whether every simply connected three-dimensional shape without holes can always be continuously deformed into a sphere.
URL: https://www.worldsolve.org/index.php?api=problem&id=1242