Open Problem Garden
Help
About
Contact
login/create account
Home
»
Subject
Number Theory
Title
Author(s)
Imp.¹
Rec.²
Topic » Subtopic
Posted by
Counterexamples to the Baillie-PSW primality test
✭✭
1
Computational N.T.
maxal
Davenport's constant
✭✭✭
0
Combinatorial N.T.
mdevos
Wall-Sun-Sun primes and Fibonacci divisibility
✭✭
0
Computational N.T.
adudzik
Algebraic independence of pi and e
✭✭✭
0
porton
Diophantine quintuple conjecture
✭✭
1
maxal
Frobenius number of four or more integers
✭✭
1
Combinatorial N.T.
maxal
Twin prime conjecture
✭✭✭✭
0
kaushiks.nitt
Perfect cuboid
✭✭
0
Computational N.T.
tsihonglau
Primitive pythagorean n-tuple tree
✭✭
0
tsihonglau
Euler-Mascheroni constant
✭✭✭
0
Analytic N.T.
Juggernaut
Is Skewes' number e^e^e^79 an integer?
✭✭
0
Analytic N.T.
VladimirReshetnikov
3 is a primitive root modulo primes of the form 16 q^4 + 1, where q>3 is prime
✭✭
0
princeps
Lucas Numbers Modulo m
✭✭
1
Martin Erickson
Birch & Swinnerton-Dyer conjecture
✭✭✭✭
0
eyoong
Are all Fermat Numbers square-free?
✭✭✭
0
Analytic N.T.
kurtulmehtap
Are there only finite Fermat Primes?
✭✭✭
0
Analytic N.T.
kurtulmehtap
Are all Mersenne Numbers with prime exponent square-free?
✭✭✭
0
Analytic N.T.
kurtulmehtap
Are there infinite number of Mersenne Primes?
✭✭✭✭
0
Analytic N.T.
kurtulmehtap
Alexa's Conjecture on Primality
Alexa
✭✭
0
princeps
Odd perfect numbers
Ancient/folklore
✭✭✭
1
azi
Distribution and upper bound of mimic numbers
Bhattacharyya
✭✭
1
Analytic N.T.
facility_cttb@i...
Few subsequence sums in Z_n x Z_n
Bollobas
;
Leader
✭✭
0
Combinatorial N.T.
mdevos
Quartic rationally derived polynomials
Buchholz
;
MacDougall
✭✭✭
0
mdevos
Chowla's cosine problem
Chowla
✭✭✭
0
mdevos
The 3n+1 conjecture
Collatz
✭✭✭
0
Combinatorial N.T.
dododododo
Lonely runner conjecture
Cusick
;
Wills
✭✭✭
0
mdevos
Polignac's Conjecture
de Polignac
✭✭✭
0
Hugh Barker
Gao's theorem for nonabelian groups
DeVos
✭✭
0
Combinatorial N.T.
mdevos
Sets with distinct subset sums
Erdos
✭✭✭
0
Combinatorial N.T.
mdevos
Odd incongruent covering systems
Erdos
;
Selfridge
✭✭✭
0
Combinatorial N.T.
Robert Samal
Covering systems with big moduli
Erdos
;
Selfridge
✭✭
0
Combinatorial N.T.
Robert Samal
Erdős–Straus conjecture
Erdos
;
Straus
✭✭
1
ACW
The Erdos-Turan conjecture on additive bases
Erdos
;
Turan
✭✭✭✭
0
Additive N.T.
mdevos
A sextic counterexample to Euler's sum of powers conjecture
Euler
✭✭
1
Computational N.T.
maxal
Sum of prime and semiprime conjecture
Geoffrey Marnell
✭✭
0
princeps
Special Primes
George BALAN
✭
1
maththebalans
Giuga's Conjecture on Primality
Giuseppe Giuga
✭✭
0
princeps
Goldbach conjecture
Goldbach
✭✭✭✭
0
Additive N.T.
Benschop
Divisibility of central binomial coefficients
Graham
✭✭
1
Combinatorial N.T.
maxal
Magic square of squares
LaBar
✭✭
1
Computational N.T.
maxal
Are there an infinite number of lucky primes?
Lazarus: Gardiner: Metropolis
;
Ulam
✭
1
Additive N.T.
cubola zaruka
Lindelöf hypothesis
Lindelöf
✭✭
0
Analytic N.T.
porton
MacEachen Conjecture
McEachen
✭
1
billymac00
Olson's Conjecture
Olson
✭✭
0
Combinatorial N.T.
mdevos
The Riemann Hypothesis
Riemann
✭✭✭✭
0
Analytic N.T.
eric
Schanuel's Conjecture
Schanuel
✭✭✭✭
0
Analytic N.T.
Charles
A discrete iteration related to Pierce expansions
Shallit
✭✭
1
shallit
Singmaster's conjecture
Singmaster
✭✭
1
Combinatorial N.T.
Zach Teitler
Snevily's conjecture
Snevily
✭✭✭
1
Combinatorial N.T.
mdevos
Navigate
Subject
Algebra
(295)
Analysis
(5)
Combinatorics
(35)
Geometry
(29)
Graph Theory
(228)
Group Theory
(5)
Logic
(10)
Number Theory
(49)
Additive N.T.
(3)
Analytic N.T.
(10)
Combinatorial N.T.
(12)
Computational N.T.
(5)
PDEs
(0)
Probability
(1)
Theoretical Comp. Sci.
(13)
Topology
(40)
Unsorted
(1)
Author index
Keyword index
more
Recent Activity
Nowhere-zero flows
Shuffle-Exchange Conjecture
Algebra
Seagull problem
Solution to the Lonely Runner Conjecture
more