2LM

2^2666+1 L

Open composite · C360 · component L

NFS Planning

GNFS Murphy estimate: 2.94e-24
SNFS Murphy score: 1.55e-18
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.35293

Identifiers

Target expression: 2^1333+1-2^667
Target value: 187492638214351905367728143929836909460923493556049254929270348243201169625497097406565086752770904387613872862274463120104257676130223166785541292430997682832165958884661296135022352565464398369822294503962552339671879168457281480787560735057976258535969067058123685035773681350555437865412291693357778554934289195376849879883134960463072773805009517976013000450962861375125085514370545153831981809665
Target link: FactorDB page
Target ID: 1100000000002458185
Target changed: -
Parent query: 2^2666+1
Parent ID: -
Cofactor token: C360
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2,62M,86L) 4780185989.30029072189. C360

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 1.55e-18
Skew: 1.35293
Selected: Best

n: 345728188147744206804367111918178714041859305727919743306624925840316633923278671969789231429754286690318304215134632403535362324886524544764831293800736563491142431783026807692663770087912131096159064006875514428183994683268431989523792144411318056148371578734546629041363352295473020177781479110092061881558578408349009615145097110994350627235348369933596309
# 2^2666+1 Aurifeuillian L, difficulty: 402.18, skewness: 1.30
# cost: 1.82134e+23, est. time: 86730461.20 GHz days (not accurate yet!)
# Optimized skew: 1.35293 Murphy: 1.55e-18
skew: 1.35293
c8: 1
c4: -4
c0: 8
Y1: -1
Y0: 187072209578355573530071658587684226515959365500928
type: snfs