2LM

2^2698+1 M

Open composite · C349 · component M

NFS Planning

GNFS Murphy estimate: 1.28e-23
SNFS Murphy score: 9.44e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.33249

Identifiers

Target expression: 2^1349+1+2^675
Target value: 12287517538015766470179431640585791698431082073689243971044661542466431852576577775636649525429593989946662771902019215039152631062870305458457234140757864142088828281465162703504824897730274811564673932900106176978720474643138100251977687923593712361638933962330682091123156568299221108870375592663187814557471476127344705353649851420369324695425718849877620118535622226131992826361038951729981899543674881
Target link: FactorDB page
Target ID: 1100000000003875624
Target changed: -
Parent query: 2^2698+1
Parent ID: -
Cofactor token: C349
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(38M,142L) 26981.350741.168379677619529469253. C349

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 9.44e-19
Skew: 1.33249
Selected: Best

n: 6217017052783256529843411038415641489874476255261648286490127115684637734440031968947908091220719752160083466586279619248820694258334190805600540150496861925178920201158538379488707342337413819650437224879955156793868880789394605733504876617244815827397114798582211653608980153625359183062632142521974664614360327177463440348642733359824119570267173
# 2^2698+1 Aurifeuillian M, difficulty: 406.99, skewness: 1.30
# cost: 2.39885e+23, est. time: 114231074.62 GHz days (not accurate yet!)
# Optimized skew: 1.33249 Murphy: 9.44e-19
skew: 1.33249
c8: 1
c4: 4
c0: 8
Y1: -1
Y0: 748288838313422294120286634350736906063837462003712
type: snfs