6^541-1

Open composite · C311

NFS Planning

GNFS Murphy estimate: 2.04e-21
SNFS Murphy raw: 4.24e-19
SNFS Murphy normalized (deg 6): 2.65e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 7
SNFS skew: 1.30681

Identifiers

Target expression: 6^541-1
Target link: FactorDB page
Target ID: 1100000000024700069
Target changed: Before 6/8/2026
Parent query: Same as target
Parent ID: -
Cofactor token: C311
Imported: Jun 07, 2026, 01:42 AM UTC

Raw pmain126 Factorization

(1) 1559846737416416190521379247021293207712950121681.42519317438188494915251140247065269293737975662970030169846227.C311

SNFS Polynomial

Polynomial

Degree: 7
Raw Murphy: 4.24e-19
Normalized (deg 6): 2.65e-19
Skew: 1.30681
Selected: Best

n: 28786458615749767304724671815059516513346612607951298266999523396888737765015306839760437075262306856070742688824657083367805142336499820507221551398035437854568986964889412856158905745403226558047716320717134821213541833104738743981340612533561638218922002215721534649616864151487494007404400213272533163398993
# 6^541-1, difficulty: 420.98, skewness: 1.67
# cost: 5.27964e+23, est. time: 251411427.46 GHz days (not accurate yet!)
# Optimized skew: 1.30681 Murphy: 4.24e-19
skew: 1.30681
c7: 1
c0: -36
Y1: -827268102990819696904779987451100917723545245377785847873536
Y0: 1
type: snfs