2LM

2^2614+1 M

Open composite · C361 · component M

NFS Planning

GNFS Murphy estimate: 2.57e-24
SNFS Murphy score: 2.28e-18
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.81050

Identifiers

Target expression: 2^1307+1+2^654
Target value: 2793858024691818734522583245185567579581193529904622658033227149295824313543693682649211388122601872498003734086073385478619600476774918538116533941492403787853806598255951645002102145038014626053382628751294006265627121713006748779826493049895076111160475593192854883237594639820535441623757603561135406432845171259587674132034397881067986053773069510869150611139301360792822004264206034010113
Target link: FactorDB page
Target ID: 1100000000004637718
Target changed: -
Parent query: 2^2614+1
Parent ID: -
Cofactor token: C361
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

109789.684869.4883605501.6203690917373. C361

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 2.28e-18
Skew: 0.81050
Selected: Best

n: 1226442716450746944492823280013626416792647304797802576977438506865497667956384805571761078114781592697715531303136767883971408277362210143891797326971513162987858162216631350801454869688699789058499463940644856672029319971107088094505423215768316558769706108568347571468088781199385497782241893914271416319248576006802997249023281871857781371420105863213689641
# 2^2614+1 Aurifeuillian M, difficulty: 393.45, skewness: 0.77
# cost: 1.09995e+23, est. time: 52378782.83 GHz days (not accurate yet!)
# Optimized skew: 0.81050 Murphy: 2.28e-18
skew: 0.81050
c8: 8
c4: 4
c0: 1
Y1: -1
Y0: 11692013098647223345629478661730264157247460343808
type: snfs