2LM

2^2742+1 L

Open composite · C241 · component L

NFS Planning

GNFS Murphy estimate: 2.35e-17
SNFS Murphy score: 3.13e-15
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.92260

Identifiers

Target expression: 2^1371+1-2^686
Target value: 51537583959769681368939470847835548463896281266003090744728508086213124984989350470663901651107447790409247450839726801715578037077521173665629010985517272602619740816262457787961101087849682563244958134800808897616361273678541156755348683321766357798268988229018923212409509628381672092714548702808923995482955325464323471620245296432208999596340668155184199867218075672227724035749344718946598535797899299651585
Target link: FactorDB page
Target ID: 1100000000002798722
Target changed: -
Parent query: 2^2742+1
Parent ID: -
Cofactor token: C241
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2,914M) 4525294424689.11125015205754281087101. C241

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 3.13e-15
Skew: 0.92260
Selected: Best

n: 2750860600314148137361106602405621550479296835596453496266298233770132286961384680345705192603945121445329977462598580001985286180172664022747307082748424225467761154664046141971656017010733894492898471707518078003102152705815485458766309029
# 2^2742+1 Aurifeuillian L, difficulty: 275.14, skewness: 0.84
# cost: 5.36053e+19, est. time: 25526.31 GHz days (not accurate yet!)
# Optimized skew: 0.92260 Murphy: 3.13e-15
skew: 0.92260
c8: 4
c6: -4
c4: 2
c2: -2
c0: 1
Y1: -1
Y0: 20769187434139310514121985316880384
type: snfs