5^578+1

Open composite · C365

NFS Planning

GNFS Murphy estimate: 1.51e-24
SNFS Murphy score: 6.22e-18
Preferred method: SNFS
SNFS possible: Yes
SNFS degree: 8
SNFS skew: 1.22899

Identifiers

Target expression: 5^578+1
Target link: FactorDB page
Target ID: 1000000000016637481
Target changed: -
Parent query: Same as target
Parent ID: -
Cofactor token: C365
Imported: Jun 03, 2026, 04:31 PM UTC

Raw pmain126 Factorization

(2,34) 8093.32369.35605957. C365

SNFS Polynomial

Polynomial

Degree: 8
Murphy: 6.22e-18
Skew: 1.22899
Selected: Best

n: 18617479004832726259184457466341351986606994448600893220266278780784642784451513111458548728607057078518303642395553352624315036854865020161455774006426094183752640265816998660114574954273505672504556070492764251883398583953159322600536730068265644058948169624908402970854319773529843211650575627360882504884428209883674540375728384279974342387405285310236945497729
# 5^578+1, difficulty: 380.24, skewness: 1.00
# cost: 5.06307e+22, est. time: 24109847.40 GHz days (not accurate yet!)
# Optimized skew: 1.22899 Murphy: 6.22e-18
skew: 1.22899
c8: 1
c7: -1
c6: -7
c5: 6
c4: 15
c3: -10
c2: -10
c1: 4
c0: 1
Y1: -582076609134674072265625
Y0: 338813178901720135627329000271856784820556640626
type: snfs