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List of unsolved problems in mathematics
...oblem, and some lists of unsolved problems, such as the [[Millennium Prize Problems]], receive considerable attention. ...o lists considered authoritative, and the problems listed here vary widely in both difficulty and importance.

195 KB (25,272 words) - 13:12, 7 May 2025

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List of unsolved mathematical problems
#REDIRECT [[List of unsolved problems in mathematics]]

54 bytes (7 words) - 06:58, 30 November 2022
Portal:Mathematics/Categories
<noinclude><div>{{Portal:Mathematics/box-header|''Categories''|Portal:Mathematics/Categories}}</noinclude> [[:Category:Applied mathematics|Applied mathematics]] |

3 KB (266 words) - 15:42, 26 July 2022
Goldbach
* [[Goldbach, Bavaria]], a municipality in Bavaria *[[Goldbach, Thuringia]], a municipality in Thuringia

2 KB (252 words) - 20:27, 11 March 2025
Unit square
[[Image:Unit Square.svg|thumb|300px|The unit square in the [[Euclidean geometry|real plane]]]] ...y to the square in the [[Cartesian coordinate system#Cartesian coordinates in two dimensions|Cartesian plane]] with corners at the four points {{math|(0,

3 KB (360 words) - 04:45, 4 May 2024
Open problem
{{Short description|In science and mathematics, not yet solved problem}} In [[science]] and [[mathematics]], an '''open problem''' or an '''open question''' is a known problem which

4 KB (500 words) - 18:41, 25 May 2025
PCF theory
'''PCF theory''' is the name of a [[mathematics|mathematical]] theory, introduced by Saharon {{harvs|txt|last=Shelah|year=1 <math>f<g</math> if <math>\{x\in A:f(x)<g(x)\}\in D</math>.

5 KB (789 words) - 02:54, 28 August 2024
Sierpiński number
...1 </math> is [[composite number|composite]] for all natural numbers ''n''. In 1960, [[Wacław Sierpiński]] proved that there are [[Infinity|infinitely m ...ds, when ''k'' is a Sierpiński number, all members of the following [[Set (mathematics)|set]] are composite:

7 KB (995 words) - 16:44, 24 March 2025
Sangaku
{{short description|Wooden tablets inscribed with geometrical theorems in Edo Japan}} ...59.jpg|thumb|A sangaku dedicated to Konnoh Hachimangu ([[Shibuya, Tokyo]]) in 1859.]]

6 KB (756 words) - 00:10, 28 October 2024
Quasiperfect number
In [[mathematics]], a '''quasiperfect number''' is a [[natural number]] ''n'' for which the If a quasiperfect number exists, it must be an [[parity (mathematics)|odd]] [[square number]] greater than 1035 and have at least sev

4 KB (536 words) - 13:41, 29 January 2025
Generalized taxicab number
...ption|Smallest number expressable as the sum of j numbers to the kth power in n ways}} ...ist any number that can be expressed as a sum of two positive fifth powers in at least two different ways, i.e., <math>a^5+b^5=c^5+d^5</math>?}}

2 KB (321 words) - 00:41, 27 June 2024
Scottish Café
{{Short description|Café in Lwów / Lviv}} ...atively discussed [[mathematical problem|research problem]]s, particularly in [[functional analysis]] and [[general topology|topology]].

4 KB (660 words) - 16:31, 13 February 2025
Newman–Shanks–Williams prime
...rime''' ('''NSW prime''') is a [[prime number]] ''p'' which can be written in the form ...described by [[Morris Newman]], [[Daniel Shanks]] and [[Hugh C. Williams]] in 1981 during the study of [[finite group|finite]] [[simple group]]s with [[s

2 KB (248 words) - 00:28, 19 January 2023
Discrepancy theory
...the theme of ''classical'' discrepancy theory, namely distributing points in some space such that they are evenly distributed with respect to some (most ...n be described as the study of inevitable irregularities of distributions, in [[Measure theory|measure-theoretic]] and [[Combinatorics|combinatorial]] se

5 KB (605 words) - 06:20, 30 December 2024
Grand Riemann hypothesis
In [[mathematics]], the '''grand Riemann hypothesis''' is a generalisation of the [[Riemann ...ized Ramanujan Conjectures |publisher=[[Clay Mathematics Institute]]. Clay Mathematics Proceedings |volume=4 |pages=659{{ndash}}685 |location=Princeton |language=

3 KB (373 words) - 15:02, 4 January 2024
Erdős–Gyárfás conjecture
{{Short description|Unproven conjecture in graph theory}} {{unsolved|mathematics|Must every cubic graph contain a simple cycle of length a power of two?}}

5 KB (664 words) - 00:43, 24 July 2024
Weird number
{{Euler_diagram_numbers_with_many_divisors.svg}}In [[number theory]], a '''weird number''' is a [[natural number]] that is [[a | title =E2308 (in Problems and Solutions)

5 KB (706 words) - 01:48, 8 May 2025
List of unsolved problems in computer science
{{Short description|List of unsolved computational problems}} ...r science is considered unsolved when no solution is known or when experts in the field disagree about proposed solutions.

10 KB (1,438 words) - 02:38, 17 May 2025
Mathematical problem
{{Short description|Problem that can be possibly solved via mathematics}} ...also be a problem referring to the [[Foundations of mathematics|nature of mathematics]] itself, such as [[Russell's Paradox]].

7 KB (1,051 words) - 05:31, 1 June 2025
Almost perfect number
...which 2−10−12 < σ(''N'')/''N'' < 2+10−12 | journal=[[Mathematics of Computation]] | volume=32 | pages=303–309 | year=1978 | issn=0025-5718 ...e=On odd perfect, quasiperfect, and odd almost perfect numbers | journal=[[Mathematics of Computation]] | volume=36 | pages=583–586 | year=1981 | issue=154 | is

5 KB (661 words) - 03:48, 27 June 2024
Unitary perfect number
{{unsolved|mathematics|Are there infinitely many unitary perfect numbers?}} ...2960000 + 20908849455208366080000 + 48787315395486187520000 (4095 divisors in the sum)

4 KB (502 words) - 06:20, 11 December 2024