c142 in 3^678+1 (re-factored)

Polynomial

The polynomial was generated by CADO-NFS.

n: 298730898112152159993663965314143337109110490153938
211636859779301038543388812435571253528061053007013850
1732641264188065670113704242889194649
c5: 473040
c4: -909753750530
c3: 712037243142343888
c2: 42301749351295848887127
c1: -8369958459671572892381028718
c0: -227539996779042958609856269522216
Y1: 2931613881191
Y0: -1445694257849469801069172695
# lognorm: 44.40, alpha: -4.73, E=39.67

Sieving

Lattice sieve was done in lasieve. 28170207 raw relations were generated.

rlim: 10000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 84
rlambda: 2.1
alambda: 3.2

Filtering and linear algebra

Filtering and linear algebra was done in msieve.

Wed Aug 18 12:32:08 2010 prp52 factor: 4958516442623153717590015032806345495942226285172417
Wed Aug 18 12:32:08 2010 prp90 factor: 602460234969227165631209934578469038593601542488104589481631863167520996197429859587060697

Comments

1. I think this number was first done by ECM.
2. The root property of the polynomial seems not good enough.