2LM

2^2842+1 M

Open composite · C289 · component M

NFS Planning

GNFS Murphy estimate: 3.86e-20
SNFS Murphy score: 9.60e-18
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 6
SNFS skew: 2.03057

Identifiers

Target expression: 2^1421+1+2^711
Target value: 58026160979198597181455869541089037002645848659984580970683885585473711714203009333273209077567819727984441493376989751133623907250032832057550580338293844337326447848284120980356708877589390183135588339118247143726108988807779119354717150865666915742117574122517455565964830176805367042403985120352671854539846673208952422994330719775600051968440301402778136958698168990194930839583693038898420982627984968088252757262414643201
Target link: FactorDB page
Target ID: 1100000000001938431
Target changed: -
Parent query: 2^2842+1
Parent ID: -
Cofactor token: C289
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(14L,58M,98L,406M) 11369.2796529.279858799529.156591681754957.68047901813766159042200807981.C289

SNFS Polynomial

Polynomial

Degree: 6
Murphy: 9.60e-18
Skew: 2.03057
Selected: Best

n: 9556071989951390766488019220657554209536208709900149150593499295275032288233443953725646624730248347761609564582212803324091273846759616155792948152940448593338503891231764244562266866201550899309614139257288117832745799104256573404082878811698589206915510999656594028393955123984244021097
# 2^2842+1 Aurifeuillian M, difficulty: 366.65, skewness: 1.41
# cost: 2.24057e+22, est. time: 10669387.91 GHz days (not accurate yet!)
# Optimized skew: 2.03057 Murphy: 9.60e-18
skew: 2.03057
c6: 1
c5: -2
c4: -10
c3: 20
c2: 16
c1: -32
c0: 8
Y1: -2535301200456458802993406410752
Y0: 12855504354071922204335696738729300820177623950262342682411009
type: snfs