2+(odd)

2^1313+1

Open composite · C290

NFS Planning

GNFS Murphy estimate: 3.38e-20
SNFS Murphy score: 1.11e-17
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 6
SNFS skew: 1.41987

Identifiers

Target expression: 2^1313+1
Target link: FactorDB page
Target ID: 1000000000012151337
Target changed: -
Parent query: Same as target
Parent ID: -
Cofactor token: C290
Imported: Jun 03, 2026, 04:29 PM UTC

Raw pmain126 Factorization

(1,13,101) 244219.140577659.9345661021690061106417607254853134479922777879784044948563.C290

SNFS Polynomial

Polynomial

Degree: 6
Murphy: 1.11e-17
Skew: 1.41987
Selected: Best

n: 80487282505951610164253319661951179921356184734920641440864399411093631462806918602489795586735325397070407102736554843465877766955703047876945698066515431771933034849579552029493385811829232562457721850463354054712735747715455288072271559533056972647281595351757835584789444881711126404537
# 2^1313+1, difficulty: 364.85, skewness: 1.00
# cost: 2.00768e+22, est. time: 9560397.58 GHz days (not accurate yet!)
# Optimized skew: 1.41987 Murphy: 1.11e-17
skew: 1.41987
c6: 1
c5: -1
c4: -5
c3: 4
c2: 6
c1: -3
c0: -1
Y1: -2535301200456458802993406410752
Y0: 6427752177035961102167848369364650410088811975131171341205505
type: snfs