2LM

2^2846+1 L

Open composite · C394 · component L

NFS Planning

GNFS Murphy estimate: 3.14e-26
SNFS Murphy score: 2.57e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.08498

Identifiers

Target expression: 2^1423+1-2^712
Target value: 232104643916794388725823478164356148010583394639938323882735542341894846856812037333092836310271278911937765973507959004534495629000131328230202321353175377349305791393136483921426835510357560732542353356472988574839799405272890063761891319781836641926187720992978661878344444970312887457613411339277953020380379804158642970672604939844817424383502623740997959933022364076529934887508444933014519673629382322523359551720377024513
Target link: FactorDB page
Target ID: 1100000000000869259
Target changed: -
Parent query: 2^2846+1
Parent ID: -
Cofactor token: C394
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

49800340024209893.968013196321576921. C394

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 2.57e-19
Skew: 1.08498
Selected: Best

n: 4814711221912770578273535547920415424661801516226083056063390813728589518202469870989361156275409298046134725554814139469324570987478432115412740072060142954744259472882225127189315250746898114400672085320218776100930389004048119863925327095400019858737513768595973269320696244809990531788608494210330288859186774706778176025761390623829307503197183577283579968824236206986501020168420714452021
# 2^2846+1 Aurifeuillian L, difficulty: 428.67, skewness: 1.09
# cost: 8.09041e+23, est. time: 385257602.20 GHz days (not accurate yet!)
# Optimized skew: 1.08498 Murphy: 2.57e-19
skew: 1.08498
c8: 1
c4: -2
c0: 2
Y1: -1
Y0: 383123885216472214589586756787577295904684780545900544
type: snfs