11^781+1

Open composite · C297

NFS Planning

GNFS Murphy estimate: 1.33e-20
SNFS Murphy score: 1.73e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 5
SNFS skew: 5.62428

Identifiers

Target expression: 11^781+1
Target link: FactorDB page
Target ID: 1000000000017214699
Target changed: -
Parent query: Same as target
Parent ID: -
Cofactor token: C297
Imported: Jun 03, 2026, 04:32 PM UTC

Raw pmain126 Factorization

(1,71) L.M L (11M) 1522951.134149247.271874184486415338043938251733193403825516386349.426557833934244461691640446997685337983525174442049742562691.P243 M (11L) 256169.2597867799339441395009.172904822710621729068666421370025707620633.C297 11^11h+1=(11^h+1)L.M, L=A-B, M=A+B, h=2k-1, A=11^5h+5.11^4h-11^3h-11^2h+5.11^h+1, B=11^k(11^4h+11^3h-11^2h+11^h+1).

SNFS Polynomial

Polynomial

Degree: 5
Murphy: 1.73e-19
Skew: 5.62428
Selected: Best

n: 736690607545897878986409136095343235450595089562862950861141204099674964425237622405347096290977089361019351532915765995936666329057291058305004981492611024344973901127023644609895687903059934932696247796302348040761910230842084994903311756560254025890997821301934963778940842442637986847292816213
# 11^781+1 Aurifeuillian M, difficulty: 369.69, skewness: 4.22
# cost: 2.69315e+22, est. time: 12824519.65 GHz days (not accurate yet!)
# Optimized skew: 5.62428 Murphy: 1.73e-19
skew: 5.62428
c5: 1
c4: 11
c2: -363
c1: -1331
c0: -1331
Y1: -2810243684806424785061213903353404851
Y0: 86872165247938313917618876629552908322948028701285264656288400841813654212
type: snfs