2LM

2^2706+1 M

Open composite · C241 · component M

NFS Planning

GNFS Murphy estimate: 2.35e-17
SNFS Murphy score: 2.95e-15
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.36491

Identifiers

Target expression: 2^1353+1+2^677
Target value: 196600280608252263522870906249372667174897313179027903536714584679462909641225244410186392406873503839146604350432307440626442097005924887335315746252125826273421252503442603256077198363684396985034782924520527640367108098502235049893413398640962393259426414283659342021303484427232243425991874900000236514358549163589929567138913013294712554470406492333615386544617520436335147701678977271048031833648267265
Target link: FactorDB page
Target ID: 1100000000001608349
Target changed: -
Parent query: 2^2706+1
Parent ID: -
Cofactor token: C241
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2,22L,66M,82M,246L,902L) C241

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 2.95e-15
Skew: 1.36491
Selected: Best

n: 1615700599120884770645777584616576545208986320574953626259257799946554107720659084878402620001596838368000072864823390882879950097470585448741654617949035712441806311604805717281587357106634223616237489719849073732054441369857713372279998401
# 2^2706+1 Aurifeuillian M, difficulty: 272.13, skewness: 1.19
# cost: 4.3116e+19, est. time: 20531.41 GHz days (not accurate yet!)
# Optimized skew: 1.36491 Murphy: 2.95e-15
skew: 1.36491
c8: 1
c6: 2
c4: 2
c2: 4
c0: 4
Y1: -1
Y0: 10384593717069655257060992658440192
type: snfs