Mathematics catalogue
Provisional editorial order for Top Open Problems: Millennium Prize Problems first, followed by assessed difficulty tiers; the unassessed remainder keeps its previous catalogue order. About rankings
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- Math-4201 Wikipedia number-theory item 109: The uniqueness conjecture for Markov numbers that every Markov number is the largest number in exact…
- Math-4202 Which integers can be written as the sum of three perfect cubes
- Math-4203 Agrawal's conjecture
- Math-4204 Dubner's conjecture
- Math-4205 Erdős–Mollin–Walsh conjecture
- Math-4206 Feit–Thompson conjecture
- Math-4207 Fortune's conjecture
- Math-4208 Quadratic bound in Linnik's least-prime problem
- Math-4209 New Mersenne conjecture
- Math-4210 Selfridge's conjecture
- Math-4211 Does the converse of Wolstenholme's theorem hold for all natural numbers
- Math-4212 Are all Euclid numbers square-free
- Math-4213 Are there any composite c satisfying 2^{c − 1} ≡ 1 (mod c^{2})
- Math-4214 Are there any Wieferich primes in base 47
- Math-4215 Are there infinitely many balanced primes
- Math-4216 Are there infinitely many cluster primes
- Math-4217 Are there infinitely many cousin primes
- Math-4218 Are there infinitely many Cullen primes
- Math-4219 Are there infinitely many Euclid primes
- Math-4220 Are there infinitely many Fibonacci primes
- Math-4221 Are there infinitely many Kummer primes
- Math-4222 Are there infinitely many Kynea primes
- Math-4223 Are there infinitely many Lucas primes
- Math-4224 Are there infinitely many Newman–Shanks–Williams primes
- Math-4225 Are there infinitely many palindromic primes to every base
- Math-4226 Are there infinitely many Pell primes
- Math-4227 Are there infinitely many Pierpont primes
- Math-4228 Are there infinitely many prime quadruplets
- Math-4229 Are there infinitely many prime triplets
- Math-4230 Siegel's conjecture
- Math-4231 Are there infinitely many sexy primes
- Math-4232 Are there infinitely many Wagstaff primes
- Math-4233 Are there infinitely many Wieferich primes
- Math-4234 Are there infinitely many Wilson primes
- Math-4235 Are there infinitely many Wolstenholme primes
- Math-4236 Are there infinitely many Woodall primes
- Math-4237 Can a prime p satisfy $2^{p-1}\equiv 1\pmod{p^2}$ and $3^{p-1}\equiv 1\pmod{p^2}$ simultaneously
- Math-4238 Does every prime number appear in the Euclid–Mullin sequence
- Math-4239 What is the smallest Skewes's number
- Math-4240 For any given integer a > 0, are there infinitely many primes p such that a^{p − 1} ≡ 1 (mod p^{2})
- Math-4241 Wikipedia number-theory item 173: For any given integer b which is not a perfect power and not of the form −4k^{4} for integer k, are…
- Math-4242 Wikipedia number-theory item 174: For any given integers $k\geq 1, b\geq 2, c\neq 0$, with gcd(k, c) = 1 and gcd(b, c) = 1, are there…
- Math-4243 Is every Fermat number $2^{2^n} + 1$ composite for $n > 4$
- Math-4244 Is 509,203 the lowest Riesel number
- Math-4245 Pollock's octahedral-number conjecture
- Math-4246 Greenberg's p-rationality conjecture
- Math-4247 Brumer–Stark conjecture
- Math-4248 Second Hardy–Littlewood zeta-function conjecture
- Math-4249 Efficient couplings in acute triangles
- Math-4250 Are shy couplings necessarily rigid?