C172 in 5,490+

Polynomial selection

The polynomial selection was done by CADO-NFS.

n: 117046992859144515720714182929218708806494566655423
023322867727323509497618501133889929513922967569253992
198494260112123181298634206286714059830032290684886961
9846454092321
Y1: 149893985493470699
Y0: -1729687681927550146987437245178889
c5: 75600
c4: 4068971528529
c3: -80160027647762766121
c2: 7278452491034924647660554175
c1: 9961278634644215967060250904104986
c0: -409491342979359252389729932957382783776680
skew: 19456000.000
# lognorm: 53.35, alpha: -7.02 (proj: -1.91), E: 46.33, nr: 3
# MurphyE(Bf=10000000,Bg=5000000,area=1.00e+16)=2.85e-13

Sieving

Lattice sieve was done in CADO-NFS. 233M unique relations were collected.

rlim=25000000
alim=50000000
lpbr=31
lpba=31
mfbr=62
mfba=93
rlambda=2.1
alambda=3.1

Filtering and linear algebra

Filtering and linear algebra was done in msieve using on a cluster of 4 cores on 16 nodes. Matrix is 12168410 x 12168581 (3677.8 MB) with weight 1159048527 (95.25/col). The calendar time was approximated 4 days.

prp67 factor: 1697022120731335981925709877507964961107487731686306359889183940761
prp105 factor: 689719900697009286111834201948083577853912347520510846113353725083500504759573156705723128209944804661961