2LM

2^2726+1 M

Open composite · C381 · component M

NFS Planning

GNFS Murphy estimate
1.78e-25
SNFS Murphy score
7.61e-19
Preferred method
SNFS
SNFS possible
Yes
SNFS degree
8
SNFS skew
0.78723

Identifiers

Target expression
2^1363+1+2^682
Target value
201318687342850317847419807999357611187094848695324573221595734711770019472614650276030865824638467931286122854842682819201476707334067084631363324162176846103983362563525225734223051124412822512675617714086979696481891979592398438522480729784530587867458595932892993274756873220075533281080126062283614733898985510578752865826470681428536633267311658419518448131976069026699683373206984462560309554129783488513
Target link
FactorDB page
Target ID
1100000000002640885
Target changed
-
Parent query
2^2726+1
Parent ID
-
Cofactor token
C381
Imported
Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(58M,94L) 10113461. C381

SNFS Polynomial

Degree
8
Murphy
7.61e-19
Skew
0.78723
Selected
Best
n: 263437841947672556735146593904932829572760083174278090049384630665654032665463138159931146042738658332974727753151350394824456856360090375426697847732165909660547716572029872927500921138663045450275515385042804563457089762544798716762345225382010752989407668167288057689444172966700655134318236899985754885787529057770837853345930164140643694621662986698114583073680498478697698461
# 2^2726+1 Aurifeuillian M, difficulty: 410.30, skewness: 0.77
# cost: 2.89563e+23, est. time: 137887264.25 GHz days (not accurate yet!)
# Optimized skew: 0.78723 Murphy: 7.61e-19
skew: 0.78723
c8: 8
c4: 4
c0: 1
Y1: -1
Y0: 1496577676626844588240573268701473812127674924007424
type: snfs