Hi, I would like an explanation concerning the number notation. I was assuming that, since we're speaking of Cunningham numbers here, b,n+/- would be (b^n)+/-1, but from what I've seen from the completed factorisations, I'm getting something wrong.

Hi Davide,

Welcome aboard NFS@Home.

For the Cunningham project notation description please read the following two links:

http://homes.cerias.purdue.edu/~ssw/cun/intro
And
http://homes.cerias.purdue.edu/~ssw/cun/notat

Kind regards

Carlos

Hi Carlos,
thank you for these links, but when I try to use them my browser returns a 403 (Forbidden) error, and it displays this "You don't have permission to access / on this server.".
I also have noticed that Cunningham numbers are not the only ones being factored here, where can I find a description of the other ones?
Sorry for my ignorance!

Hi Davided,

Details on Cunningham Numbers can be found here:
http://homes.cerias.purdue.edu/~ssw/cun/

OddPerfect:
http://www.lirmm.fr/~ochem/opn/

XYYXF:
http://www.primefan.ru/xyyxf/default.html

Homogeneous Cunningham numbers:
https://brnikat.com/nums/anbn/main.htm

Cullen and Woodall numbers and their generalization to other bases:
https://www.brnikat.com/nums/cullen_woodall/cw.html

Brent tables reservations:
https://maths-people.anu.edu.au/~brent/factors.html

Repunit
https://stdkmd.net/nrr/repunit/

Fibonacci and Lucas Factorizations
http://mersennus.net/fibonacci/

What is this most recent "GX139" number that is being sieved?

Here's the poly for GX139_123 (C206 xyyz139_123 139^123+123^139).

n: 32030731016440682777065354721302752319396528561887718275010943791422401733138770874875013988992282966916694379386222588227067753509923096299768661077024692164623187468602947896220375896898149402189690061819
# MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16) = 2.107e-15
skew: 758009406.84691
c0: 137590190631534878358422419258553863917875388884862
c1: 164573777586510141237335590511706400855489
c2: -1450105737514750858673830964438693
c3: 464312981092984010304351
c4: 1251482803942791
c5: 1411200
Y0: -12601339721892862582748708202204842976691
Y1: 743324161454990349821163538
type: gnfs
lss: 0
alim: 250000000
rlim: 250000000
lpbr: 33
lpba: 33
mfbr: 67
mfba: 96
rlambda: 2.6
alambda: 3.6