Number theory
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
Browse by subject
Search this collection by problem ID, title, classification, subject, provider, or model.
Search results
No matching problems. Try another search or clear a filter.
572 records · Search and filter
- Math-2804 Dimension of the full two-adic Hecke algebra at odd level
- Math-2805 The two-primary BSD formula at low two-Selmer corank
- Math-2806 Unramified generic Ramanujan over function fields
- Math-2807 Unrestricted odd two-adic pro-modularity over Q
- Math-2808 Weak inhomogeneous Duffin-Schaeffer
- Math-2809 Weil structures on regular tame eigensheaves
- Math-2810 Finite étale covers with a prescribed exterior sheet and p-divisible disk degrees
- Math-2811 Margulis–Platonov normal subgroups over global function fields
- Math-3032 Are there infinitely many perfect powers in the Fibonacci sequence?
- Math-3039 Hilbert's 7th Problem: Transcendence of Certain Numbers
- Math-3047 Large Sieve and Quadratic Sets
- Math-3048 Covering Squares with Sumsets
- Math-3058 Irreducibility of Random {0,1} Polynomials
- Math-3065 Bounds for Homogeneous Polynomial Zeros
- Math-3077 Pillai's Conjecture
- Math-3088 Lehmer's Totient Problem
- Math-3089 Newman's Conjecture
- Math-3090 Infinitely Many Perfect Numbers
- Math-3091 Normality of Pi
- Math-3092 Waring's Problem: Exact Values
- Math-3093 Density of Ulam Numbers
- Math-3094 Hilbert-Pólya Conjecture
- Math-3095 Brocard's Conjecture (Prime Gaps)
- Math-3128 Euler-Mascheroni Constant Irrationality
- Math-3129 Hardy-Littlewood Conjecture A (Prime k-tuples)
- Math-3130 Infinitude of Sophie Germain Primes
- Math-3131 Erdős $5000 Problem on Prime Gaps
- Math-3132 Density of Symmetric Primes
- Math-3287 Giuga's Conjecture on Prime Characterization
- Math-3288 Selfridge-Wagstaff-Pomerance Prize Problem
- Math-3373 MacEachen Conjecture
- Math-3374 A discrete iteration related to Pierce expansions
- Math-3375 Diophantine quintuple conjecture
- Math-3376 Lucas Numbers Modulo m
- Math-3377 Alexa's Conjecture on Primality
- Math-3378 The Erdos-Turan conjecture on additive bases
- Math-3379 Olson's Conjecture
- Math-3380 Sets with distinct subset sums
- Math-3381 Odd incongruent covering systems
- Math-3382 Covering systems with big moduli
- Math-3383 Divisibility of central binomial coefficients
- Math-3384 Snevily's conjecture
- Math-3385 Counterexamples to the Baillie-PSW primality test
- Math-3810 Take any positive integer, and apply the following process: (1) divide it by two if it's even, multiply by three and add
- Math-3811 Suppose that S is a set of positive integers with the property that S+S -- that is, all sums of the form s_(1)+s_(2) for
- Math-3812 Suppose k runners having distinct constant speeds start at a common point and run laps on a unit length circular track
- Math-3813 Show that there is some B so that no integer appears more than B times among the binomial coefficients
- Math-3814 There is no n so that the only integer m with phi(n) = phi(m) is m=n
- Math-3815 Is there a dense of points in the real plane so that every two points are at a rational distance
- Math-3816 Is there a prime between n^(2)and (n+1)^(2 )for every n > 0