C191 in 2,2110M (with Sam Wagstaff)

Polynomial selection

The following polynomial is used,

n: 19117975509231950217835785604990810904518468642464948166041
77443999397456239669493520263503734918079139975884209403097548
73720304830986693524219283768733403661732654703694411951574940
37196561
Y1: 867663442071987712595299
Y0: -1505162426746461052271114545777082092
c5: 2474763840
c4: -86033016621660582
c3: -237737922227670719017911
c2: 1233890235891115516584390349615
c1: 2564500701705735114075514578650056623
c0: -2431911072011909433980967094860310515350721
skew: 3441664.000
# lognorm: 59.42, alpha: -6.33 (proj: -2.35), E: 53.08, nr: 3
# MurphyE(Bf=10000000,Bg=5000000,area=1.00e+16)=1.59e-14

Sieving

Lattice sieve was done in CADO-NFS. 394M unique relations were collected.

rlim=100000000
alim=200000000
lpbr=32
lpba=32
mfbr=64
mfba=96
rlambda=2.1
alambda=3.2

Filtering and linear algebra

Filtering and linear algebra was done in CADO-NFS using 64 cores. Matrix is 40M x 40M. The calendar time was approximated two months. The factors are:

111715180352426255717925792801717907641082234891700846009615527511253647864321 * 171131402634098165994485133997287945987735236068005440282605920434035805212201363800073140339323809474299541511441