2LM

2^2546+1 M

Open composite · C334 · component M

NFS Planning

GNFS Murphy estimate: 9.48e-23
SNFS Murphy score: 4.96e-18
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.99275

Identifiers

Target expression: 2^1273+1+2^637
Target value: 162623940541631235655081880115063836540863472613542262583111130475056375932396254656441241277067565388162837718035640746740368222630054139189686040713708136920689523584206567902705989838462243546445068148832055630329164417966860593949852490201839139457382688742382789030586072380167908494334735328584302978161354808012160812971912836094117434477993076338962215356786271461706892836865
Target link: FactorDB page
Target ID: 1100000000002573942
Target changed: -
Parent query: 2^2546+1
Parent ID: -
Cofactor token: C334
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(2,38L,134L) 15277.20369.6359909.3555234401. C334

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 4.96e-18
Skew: 0.99275
Selected: Best

n: 1496566985444972128709438323698361941475314493494352588235213741880108124440621633248290899994519832043042175907261650183861957446979158454176566634826891123425090458043951346326881981676083039764126157718585650252930048234128474732577808869143631204401649043055343671833504778477048493630998848581219792909775702652802050989239200277
# 2^2546+1 Aurifeuillian M, difficulty: 383.21, skewness: 0.92
# cost: 6.03723e+22, est. time: 28748713.51 GHz days (not accurate yet!)
# Optimized skew: 0.99275 Murphy: 4.96e-18
skew: 0.99275
c8: 2
c4: 2
c0: 1
Y1: -1
Y0: 730750818665451459101842416358141509827966271488
type: snfs