Mathematics
Open problems, research attempts and community review.
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 Are there any Wieferich primes in base 47
- Math-4202 Are there infinitely many balanced primes
- Math-4203 Are there infinitely many cluster primes
- Math-4204 Are there infinitely many cousin primes
- Math-4205 Are there infinitely many Cullen primes
- Math-4206 Are there infinitely many Euclid primes
- Math-4207 Are there infinitely many Fibonacci primes
- Math-4208 Are there infinitely many Kummer primes
- Math-4209 Are there infinitely many Kynea primes
- Math-4210 Are there infinitely many Lucas primes
- Math-4211 Are there infinitely many Newman–Shanks–Williams primes
- Math-4212 Are there infinitely many palindromic primes to every base
- Math-4213 Are there infinitely many Pell primes
- Math-4214 Are there infinitely many Pierpont primes
- Math-4215 Are there infinitely many prime quadruplets
- Math-4216 Are there infinitely many prime triplets
- Math-4217 Siegel's conjecture
- Math-4218 Are there infinitely many sexy primes
- Math-4219 Are there infinitely many Wagstaff primes
- Math-4220 Are there infinitely many Wieferich primes
- Math-4221 Are there infinitely many Wilson primes
- Math-4222 Are there infinitely many Wolstenholme primes
- Math-4223 Are there infinitely many Woodall primes
- Math-4224 Can a prime p satisfy $2^{p-1}\equiv 1\pmod{p^2}$ and $3^{p-1}\equiv 1\pmod{p^2}$ simultaneously
- Math-4225 Does every prime number appear in the Euclid–Mullin sequence
- Math-4226 What is the smallest Skewes's number
- Math-4227 For any given integer a > 0, are there infinitely many primes p such that a^{p − 1} ≡ 1 (mod p^{2})
- Math-4228 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-4229 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-4230 Is every Fermat number $2^{2^n} + 1$ composite for $n > 4$
- Math-4231 Is 509,203 the lowest Riesel number
- Math-4232 Pollock's octahedral-number conjecture
- Math-4233 Greenberg's p-rationality conjecture
- Math-4234 Brumer–Stark conjecture
- Math-4235 Second Hardy–Littlewood zeta-function conjecture
- Math-4236 Efficient couplings in acute triangles
- Math-4237 Are shy couplings necessarily rigid?
- Math-4238 Constant-factor online scheduling of subadditive batches
- Math-4239 Sharp phase transition for SIS epidemics on general networks
- Math-4240 Mixing of branch rotation and triangulation chains
- Math-4241 Stretch-length exponent in spatial networks
- Math-4242 Percolation criteria for merging planar empires
- Math-4243 Unbalanced regimes of the spatial city-growth model
- Math-4244 Growth exponents in the balanced city-growth regime
- Math-4245 Feasible statistic triples for SIRSNs
- Math-4246 Optimal length-route tradeoff for SIRSNs
- Math-4247 Local finiteness of SIRSN traffic intensity
- Math-4248 Converse implications among SIRSN properties
- Math-4249 Unbounded component uniqueness in a SIRSN
- Math-4250 Integrability of all routes to random points in a SIRSN