2LM

2^2710+1 L

Open composite · C312 · component L

NFS Planning

GNFS Murphy estimate: 1.79e-21
SNFS Murphy score: 1.50e-16
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.77363

Identifiers

Target expression: 2^1355+1-2^678
Target value: 786401122433009054091483624997490668699589252716111614146858338717851638564900977640745569627494015356586417401729229762505768388023699549341262985008503305093685010013770413024308793454737587940139131694319768178883593402432991091297194378290775563984112598907374225211879896377818385072099230434779409020312207745464546831516682834316456936568815950805608475474565211381787115766520617170928770216492007425
Target link: FactorDB page
Target ID: 1100000000000192086
Target changed: -
Parent query: 2^2710+1
Parent ID: -
Cofactor token: C312
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2,10L,542M) 59621.1781114981. C312

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 1.50e-16
Skew: 0.77363
Selected: Best

n: 390349909386460670390980447342677495562346308889122244398045184111351896945462054811086097663530551707569696268246157585758761388622953076179680773899027056222687419321447014243418371574309784120697913034934778578811815161866708010021258737446945726207844574297260074756966466552981244684113560082238707089768341
# 2^2710+1 Aurifeuillian L, difficulty: 326.32, skewness: 0.71
# cost: 1.77852e+21, est. time: 846914.63 GHz days (not accurate yet!)
# Optimized skew: 0.77363 Murphy: 1.50e-16
skew: 0.77363
c8: 16
c7: -16
c6: 8
c4: -4
c2: 2
c1: -2
c0: 1
Y1: -1
Y0: 43556142965880123323311949751266331066368
type: snfs