2LM

2^2750+1 L

Open composite · C261 · component L

NFS Planning

GNFS Murphy estimate: 1.62e-18
SNFS Murphy score: 1.12e-16
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.77149

Identifiers

Target expression: 2^1375+1-2^688
Target value: 824601343356314901903031533565368775422340500256049451915656129379409999759829607530622426417719164646547959213435628827449248593240338778650064175768276361641915853060199324607377617405594921011919330156816795000461547253984032279972454027385725352557574690955927488856854448112429810726191812352567970781653298124071884201475452647395459084261515007941920743419890009342895863330430675482064758250455324281536513
Target link: FactorDB page
Target ID: 1100000000000747026
Target changed: -
Parent query: 2^2750+1
Parent ID: -
Cofactor token: C261
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(10M,22M,50L,110L,250M,550M) 5501.223344001.748066001.37475874542920115501.C261

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 1.12e-16
Skew: 0.77149
Selected: Best

n: 311015479664920642976366872179453384355957386716991522079685003444141314535429581859142664447804748414386545689296495622159145272550369087243803628116965333773061796570735686308962647532413416782361408274654048349118130269984476035188044111319431693422884283001
# 2^2750+1 Aurifeuillian L, difficulty: 331.13, skewness: 0.71
# cost: 2.4299e+21, est. time: 1157095.72 GHz days (not accurate yet!)
# Optimized skew: 0.77149 Murphy: 1.12e-16
skew: 0.77149
c8: 16
c7: -16
c6: 8
c4: -4
c2: 2
c1: -2
c0: 1
Y1: -1
Y0: 174224571863520493293247799005065324265472
type: snfs