2LM

2^2542+1 L

Open composite · C354 · component L

NFS Planning

GNFS Murphy estimate: 6.56e-24
SNFS Murphy score: 5.09e-18
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.15601

Identifiers

Target expression: 2^1271+1-2^636
Target value: 40655985135407808913770470028765959135215868153385565645777782618764093983099063664110310319266891347040709429508910186685092055657513534797421510178427034230172380896051641975676497459615560458882459135127212159972453070089403439747290567997966293065047119128548771444141533165715916120014954584429553220064653324936972574295665872836530634661918120460239832564357497595971200090113
Target link: FactorDB page
Target ID: 1100000000000517613
Target changed: -
Parent query: 2^2542+1
Parent ID: -
Cofactor token: C354
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(62L,82L) 12379541. C354

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 5.09e-18
Skew: 1.15601
Selected: Best

n: 695462834689360480212068259562201243442936815902998364979787389086574576830112972882471164998839478017984852246978928178343502467696886012581800036998207562095271478347791562462590193508572917769282254417055262895996553735326681194240243478376917939131181939100318253664630419818010805120130751843545468178593517346305816872785779891272554305388896009661
# 2^2542+1 Aurifeuillian L, difficulty: 382.91, skewness: 1.09
# cost: 5.93078e+22, est. time: 28241808.89 GHz days (not accurate yet!)
# Optimized skew: 1.15601 Murphy: 5.09e-18
skew: 1.15601
c8: 1
c4: -2
c0: 2
Y1: -1
Y0: 730750818665451459101842416358141509827966271488
type: snfs