2LM

2^2498+1 L

Open composite · C318 · component L

NFS Planning

GNFS Murphy estimate: 8.03e-22
SNFS Murphy score: 7.91e-18
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.97822

Identifiers

Target expression: 2^1249+1-2^625
Target value: 9693142207958175877039544589225282462886778868051902209705777792635940070891157070186212138954851948509385449769237085982583059229257949542384507698637732083838553642285261625212787976173156917485223316079718412179982373492246845322881807175123171239444823410950663395167692409853458384646361955153580066103778383440180207299414735550627392264415891383073059598757331342458881
Target link: FactorDB page
Target ID: 1100000000000427272
Target changed: -
Parent query: 2^2498+1
Parent ID: -
Cofactor token: C318
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

874301.111870433.534681373776302338436724283434249944185265621. C318

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 7.91e-18
Skew: 0.97822
Selected: Best

n: 185350275085096167475315846223785551087927804014585668377209213400807997036828624728335335043465275126690490915454902239601040739906548189572707597829699240358403165316352049739669422467015459210064215113914971773563518688555785527052389824042268190222652661970599849896329785102745216992531813485080804824938852350817
# 2^2498+1 Aurifeuillian L, difficulty: 375.99, skewness: 0.92
# cost: 3.93004e+22, est. time: 18714489.73 GHz days (not accurate yet!)
# Optimized skew: 0.97822 Murphy: 7.91e-18
skew: 0.97822
c8: 2
c4: -2
c0: 1
Y1: -1
Y0: 91343852333181432387730302044767688728495783936
type: snfs