2LM

2^2554+1 L

Open composite · C379 · component L

NFS Planning

GNFS Murphy estimate: 2.33e-25
SNFS Murphy score: 4.62e-18
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.37698

Identifiers

Target expression: 2^1277+1-2^639
Target value: 2601983048666099770481310081841021384653815561816676201329778087600902014918340074503059860433081046210605403488570251947845891562080866227034976651419330190731032377347305086443295837415395885337019546325824843482337616436741457270126371721829599783336828271690206602795910893300658242480856318651574913664563400206432769568955609745852579646112418591436709545046205136201829668880385
Target link: FactorDB page
Target ID: 1100000000000641037
Target changed: -
Parent query: 2^2554+1
Parent ID: -
Cofactor token: C379
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2) 61297. C379

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 4.62e-18
Skew: 1.37698
Selected: Best

n: 8489756590587140546784704249281437540675124596037901369821616351863556177034243354497152749508396972806517132938219658214417970086891254798880782587791670687736862741560941274265611163402436939285836325842455074415836391460402490399616202169207627725131175332202902598156225894581001492669645557373362199339489372094662934789485977277362936672634610475020668368912687851613715741
# 2^2554+1 Aurifeuillian L, difficulty: 385.32, skewness: 1.30
# cost: 6.83624e+22, est. time: 32553503.70 GHz days (not accurate yet!)
# Optimized skew: 1.37698 Murphy: 4.62e-18
skew: 1.37698
c8: 1
c4: -4
c0: 8
Y1: -1
Y0: 1461501637330902918203684832716283019655932542976
type: snfs