2LM

2^2914+1 L

Open composite · C350 · component L

NFS Planning

GNFS Murphy estimate: 1.12e-23
SNFS Murphy score: 1.33e-19
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 0.89302

Identifiers

Target expression: 2^1457+1-2^729
Target value: 3987527419489428978934891797539519074407964567436787186133619573501046471683744380659059161937985807259468675374073145280737497721642052937815042118700682845870910169347677909227832368695028770450412842403709263345644493872971095892585328443333667706227080139066762111311103461563166313110385400233940274604198401888653579547842083074537351254779933503487477589121270129697196120534163924284032549139238306881954014747003280157842562088961
Target link: FactorDB page
Target ID: 1100000000003998489
Target changed: -
Parent query: 2^2914+1
Parent ID: -
Cofactor token: C350
Imported: Jun 03, 2026, 04:30 PM UTC

Raw pmain126 Factorization

(62L,94L) 2444560429.152554600751896772873225998690571286541274319047979770657.C350

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 1.33e-19
Skew: 0.89302
Selected: Best

n: 35379463178352020404208984543146874703564248271955760036287824459020002789870664604966283822000381685775939429922162505676276862955963200343455426566244861072612900688856211767271600262414948107106368188714309652648084924745165019316597271971564182624930527826541340880557364998556509232629201936836949886248686566926525188394404629955197612949690373
# 2^2914+1 Aurifeuillian L, difficulty: 438.60, skewness: 0.92
# cost: 1.39502e+24, est. time: 664297126.10 GHz days (not accurate yet!)
# Optimized skew: 0.89302 Murphy: 1.33e-19
skew: 0.89302
c8: 2
c4: -2
c0: 1
Y1: -1
Y0: 6129982163463555433433388108601236734474956488734408704
type: snfs