C164 in 5,905L

Polynomial selection

The polynomial selection was done by CADO-NFS.

n: 591107027327768331178038517494869687214334411769970559
77636434259417058881649675395083473367680592264330324445
374099919498440085600163605632155464925246278369161761
Y1: 3149751495645052891
Y0: -22797522045050645899704707035090
c5: 9599040
c4: 15890652784962
c3: 15980267799977016720
c2: 108674681538953101326843611
c1: -23738358322688074995006638473444
c0: -9095778712646156643742484255308167729
skew: 917248.000
# lognorm: 50.63, alpha: -5.96 (proj: -2.35), E: 44.67, nr: 3
# MurphyE(Bf=10000000,Bg=5000000,area=1.00e+16)=7.00e-13

Sieving

Lattice sieve was done in CADO-NFS. 84M unique relations were collected.

rlim=20000000
alim=40000000
lpbr=30
lpba=30
mfbr=60
mfba=90
rlambda=2.1
alambda=3.2

Filtering and linear algebra

Filtering and linear algebra was done in CADO-NFS using on a cluster of 4 cores on 8 nodes (thr=2x2 mpi=2x4). Final matrix has N=9653634, nc=9653474 (160), w(M)=965363554, N*w(M)=9319266427255236. The calendar time was approximated 4.5 days.

99-digit factor:
419549236236250431602196738134474270638097765875611747086902268196667188810526175305971546910563151
66-digit factor:
140890979240136855983847814451354759466274272215506415921692852111