2LM

2^2998+1 M

Open composite · C426 · component M

NFS Planning

GNFS Murphy estimate: 4.37e-28
SNFS Murphy score: 5.01e-20
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.69494

Identifiers

Target expression: 2^1499+1+2^750
Target value: 17537331055217019373813793980140428996762007940165414412037899012395481925281661101828540443292484630826575203397718758699647274470734979877085519459002350423944978242664548632243401355791731473268341092170069314725677729132479093649213342550397642139839173395608604186313571946189610023624167415034519985313451708413991912294920892766927833917650400495106222381018988569583623189527325223719100137077778663173856747628790024463139114554867418306445313
Target link: FactorDB page
Target ID: 1100000000003845680
Target changed: -
Parent query: 2^2998+1
Parent ID: -
Cofactor token: C426
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

36123396542237915182866917. C426 2^2h+1=L.M, L=2^h-2^k+1, M=2^h+2^k+1, h=2k-1.

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 5.01e-20
Skew: 0.69494
Selected: Best

n: 485484000229911585126383273931225300488796317591579085441398104600131905804375984351462121797806472528657585530172324825828376037634852763350498070803707539484495177045092855848076628557564275416465203542443368311016186878052467146573291860521276506413361311456530578911149634727929105946549048444701409369505995946931577891398033491792644835566341769617381840021094459098666165644255750001399370258028046141317069735363294189
# 2^2998+1 Aurifeuillian M, difficulty: 451.24, skewness: 0.77
# cost: 2.7612e+24, est. time: 1314857072.81 GHz days (not accurate yet!)
# Optimized skew: 0.69494 Murphy: 5.01e-20
skew: 0.69494
c8: 8
c4: 4
c0: 1
Y1: -1
Y0: 196159429230833773869868419475239575503198607639501078528
type: snfs