Editing Cunningham Project (section)

{{Short description|Mathematical project in integer factorization}}
The '''Cunningham Project''' is a collaborative effort started in 1925 to [[integer factorization|factor]] numbers of the form  ''b''<sup>''n''</sup> ± 1 for ''b'' = 2, 3, 5, 6, 7, 10, 11, 12 and large ''n''. The project is named after [[Allan Joseph Champneys Cunningham]], who published the first version of the table together with [[H. J. Woodall|Herbert J. Woodall]].<ref>{{cite book|last=Cunningham|first=Allan J. C.|last2=Woodall|first2=H. J.|title=Factorization of y<sup>n</sup> ± 1, y = 2, 3, 5, 6, 7, 10, 11, 12, up to high powers n|publisher=Hodgson|year=1925}}</ref> There are three printed versions of the table, the most recent published in 2002,<ref>{{cite book|title=Factorizations of b<sup>n</sup> ± 1, b = 2, 3, 5, 6, 7, 10, 11, 12 up to high powers|volume = 22|last1=Brillhart|first1=John|authorlink1=John Brillhart|last2=Lehmer|first2=Derrick H.|authorlink2=Derrick Henry Lehmer|last3=Selfridge|first3=John L.|authorlink3=John Selfridge|last4=Tuckerman|first4=Bryant|last5=Wagstaff|first5=Samuel S.|authorlink5=Samuel S. Wagstaff Jr.|publisher=AMS|year=2002|doi = 10.1090/conm/022|series = Contemporary Mathematics|isbn = 9780821850787}}</ref> as well as an online version by [[Samuel S. Wagstaff Jr.|Samuel Wagstaff]].<ref>{{cite web|url=https://homes.cerias.purdue.edu/~ssw/cun/index.html|title=The Cunningham Project|accessdate=23 November 2023}}</ref>

The current limits of the exponents are:
{| class="wikitable" style="text-align:center"
!Base
!2
!3
!5
!6
!7
!10
!11
!12 
|-
!Limit
|1500
|900
|600
|550
|500
|450
|400
|400
|-
![[Aurifeuillean factorization|Aurifeuillean]] (LM) limit
|3000
|1800
|1200
|1100
|1000
|900
|800
|800
|}