clopen.solutions

Open problems

20 registered problems.

OP-00001 Open
Goldbach's conjecture
NT · additive prime number theory · Landau's problems
OP-00002 Open
The twin prime conjecture
NT · Landau's problems · prime gaps
OP-00003 Open
Legendre's conjecture
NT · Landau's problems · prime gaps
OP-00004 Open
Primes of the form n² + 1
NT · Landau's problems · primes represented by polynomials
OP-00005 Open
The odd perfect number conjecture
NT · perfect numbers · sum of divisors
OP-00006 Open
Lehmer's totient problem
NT · Euler's totient function
OP-00007 Open
The Kummer–Vandiver conjecture
NT · class numbers · cyclotomic fields
OP-00008 Open
Pillai's conjecture on axⁿ − byᵐ = c
NT · exponential Diophantine equations · perfect powers
OP-00009 Open
The Feit–Thompson conjecture on primes
NT · divisibility
OP-00010 Open
The Lander–Parkin–Selfridge conjecture
NT · Diophantine equations · equal sums of like powers
OP-00011 Open
A 3 × 3 magic square of distinct squares
NT · Diophantine equations · magic squares
OP-00012 Open
Schanuel's conjecture
NT · exponential function · transcendental numbers
OP-00013 Open
The four exponentials conjecture
NT · exponential function · transcendental numbers
OP-00014 Open
Irrationality of the Euler–Mascheroni constant
NT · Euler–Mascheroni constant · irrationality
OP-00015 Open
Convergence of the Flint Hills series
CA · irrationality measure · series convergence
OP-00016 Open
Falconer's distance set conjecture
CA · distance sets · geometric measure theory · Hausdorff dimension
OP-00017 Open
The Marcus–de Oliveira determinantal conjecture
RA · determinants · normal matrices
OP-00018 Open
The 1/3–2/3 conjecture for finite posets
CO · linear extensions · partially ordered sets · sorting
OP-00019 Open
The prime power conjecture for finite projective planes
CO · Erdős problems · finite projective planes
OP-00020 Open
The Gaussian moat problem
NT · Erdős problems · Gaussian primes