2LM

2^2894+1 M

Open composite · C309 · component M

NFS Planning

GNFS Murphy estimate
2.67e-21
SNFS Murphy score
1.58e-19
Preferred method
SNFS
SNFS possible
Yes
SNFS degree
8
SNFS skew
1.08755

Identifiers

Target expression
2^1447+1+2^724
Target value
3894069745595145487241105271034686596101527897887487486458612864747115695003656621737362462830064264901824878294993305938220212618791067322085002069043635591670810712253591708230305047553739033642981291409872327485981042056085677015393288831958457479440010482173684778681072279127817169928503241976989422308194574686087518727933131295336356761305183096082762954466006053631551110161311380777354927732061099705438377675650470407563116545
Target link
FactorDB page
Target ID
1100000000005202087
Target changed
-
Parent query
2^2894+1
Parent ID
-
Cofactor token
C309
Imported
Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2) 4946504506549.1357667334047960260755285617.19754109616283186047512713349409.45183206404351907249055357588786522461773116586235262049.C309

SNFS Polynomial

Degree
8
Murphy
1.58e-19
Skew
1.08755
Selected
Best
n: 129929401212869619986447039018298186837438481197560106748349891031478367746443618180055707447292682274511027643069814033769616291435983895019625681971595103862330486904982632192436937870108010899850388898816356830169334491844601187537707679227739740017749471590367464435696240913970860552774680367460231156553
# 2^2894+1 Aurifeuillian M, difficulty: 435.89, skewness: 1.09
# cost: 1.2033e+24, est. time: 573000680.88 GHz days (not accurate yet!)
# Optimized skew: 1.08755 Murphy: 1.58e-19
skew: 1.08755
c8: 1
c4: 2
c0: 2
Y1: -1
Y0: 3064991081731777716716694054300618367237478244367204352
type: snfs