2LM

2^2774+1 L

Open composite · C318 · component L

NFS Planning

GNFS Murphy estimate: 8.03e-22
SNFS Murphy score: 5.69e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.78806

Identifiers

Target expression: 2^1387+1-2^694
Target value: 3377567102387465838194817161483750504129906689048778555046527505938063359016262072445429458606977698392260440938232335677232122237912427637350662863946859977285287334134576433591818720893316796464821576322326770268168584232489786568183131822827082159819229995923422614621634102682898693668749803892766659453328470476166238122304707547353075091062931915194967810259544151569768518852788965786204629968678937551850962945
Target link: FactorDB page
Target ID: 1100000000001251215
Target changed: -
Parent query: 2^2774+1
Parent ID: -
Cofactor token: C318
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2,38L,146M) 4199837.1528886360502043217.3379174890643311197.1207723297756092698829719114401.C318

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 5.69e-19
Skew: 0.78806
Selected: Best

n: 130399781847860272024444842486343388403094393903655372500381735672052473002454391359357371269896364104576205808611951655437888398760813497200716080548474595684130594619732812455327931801285375001810189176238402354704644952564239390323772148382572647611156668524456305033986148851605525276901307780123006646916712358637
# 2^2774+1 Aurifeuillian L, difficulty: 417.53, skewness: 0.77
# cost: 4.35227e+23, est. time: 207251044.77 GHz days (not accurate yet!)
# Optimized skew: 0.78806 Murphy: 5.69e-19
skew: 0.78806
c8: 8
c4: -4
c0: 1
Y1: -1
Y0: 11972621413014756705924586149611790497021399392059392
type: snfs