2LM

2^2662+1 M

Open composite · C361 · component M

NFS Planning

GNFS Murphy estimate: 2.57e-24
SNFS Murphy score: 1.43e-18
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.80128

Identifiers

Target expression: 2^1331+1+2^666
Target value: 46873159553587976341932035982459227365230873389012313732317587060800292406374274351641271688192726096903468215568615780026064419032555791696385323107749420708041489721165324033755588141366099592455574085260948459043823255975295501600603107723723685433926132397238791538977762514224385817460148756046602490538859029211819530391830964529010541206381594441887857523003210894742579996181981169238893658113
Target link: FactorDB page
Target ID: 1100000000004922052
Target changed: -
Parent query: 2^2662+1
Parent ID: -
Cofactor token: C361
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(22M,242L) 15973. C361

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 1.43e-18
Skew: 0.80128
Selected: Best

n: 1103845424362299420784703977585279290667141952389334785219642863403245510879951719748698289785092610712268460214759638312606803322299368030731271601033380465555717278290102630123497583961733835943733017412695662141475347305462355751324621254708860579503035326438142760773118008759657800297936054435177510028260815830132114207941294212176818179267985426064687981
# 2^2662+1 Aurifeuillian M, difficulty: 400.67, skewness: 0.77
# cost: 1.67046e+23, est. time: 79545557.97 GHz days (not accurate yet!)
# Optimized skew: 0.80128 Murphy: 1.43e-18
skew: 0.80128
c8: 8
c4: 4
c0: 1
Y1: -1
Y0: 93536104789177786765035829293842113257979682750464
type: snfs