is 2 1864589 - 1
has 561298 decimal digits
takes 0.101 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L5F52533ACF2C13C1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26715.935968.6567 %18645891864589000.93788.7457 %16.873771.3979 %
Target2610.164765.5738 %100007500000.00401.6887 %0.168766.1551 %
Difference+6+15.7712+3.0829 %+1854589+185708900+0.9338+7.0571%+16.7050+5.2428 %

Known prime factors (2 factors, 168.7 bits, 0.00904696% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
186458925197230752310699854643292581.060675677877331430676
22 × 3 × 47 × 1198010420800409
2023-10-09471198010420800409517,1135,134,3739,589,579
18645892393133325807357062360708492787.62964173212590210418016
25 × 32 × 7 × 17 × 151 × 70537 × 175800619
2018-09-247053717580061924,144,6570.75871.4072

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2012-01-06markrtiny275000600000012--0.0467.178%
2015-10-07Bruno Victal5820K.ECM5000001500000012--0.1018.883%
2016-12-19JossManual testing720000720000---4.463%
2016-12-30JossManual testing864000864000---4.735%
2017-01-14JossManual testing10368001036800---5.014%
2017-02-19JossManual testing12441601244160012--0.1469.121%
2017-12-30JossManual testing18645892488320012--0.24510.458%
2018-02-09JossManual testing18645894976640012--0.35211.627%
2018-02-25JossManual testing18645899953280012--0.56512.781%
2018-09-24JossManual testing18645891864589001222787.6290.93813.813%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-01-09ANONYMOUSv4_computers212580.021
2016-02-23Mark RoseManual testing2582600.062
2010-04-06Architects CubedManual testing2602610.082
2011-03-08GrunwalderGIMPManual testing212630.856
2016-02-23Mark RoseManual testing2612630.691
2015-05-07snme2pm1Manual testing2632653.057
2015-09-10ramgeisManual testing2652664.008
2018-04-23TJAOIManual testing2662678.015


ECM factoring results:
Total ECM effort:39.197 GHz-days
Estimated T-Level:25.711
DigitsB1CompleteFacMiss
201100014.9950.000%
25500001.68218.597%
302500000.14286.749%
3510000000.01099.030%


ECM Summary

B1B2factorcurvesGHz-days
500005000000513.424
50000660000020015.61
250000400000004619.73
2500004000000010.429


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-21ANONYMOUSv4_computers5F52533ACF2C13C10.101
2015-06-27MadPooManual testing5F52533ACF2C13C10.101


PRP results:
dateuseridcompidcofactorsres64
2018-09-26rbanovccg_lnx01
239313332580735706236070849
ADE7A757E36346B8
2018-09-26rucio
239313332580735706236070849
ADE7A757E36346B8
2023-10-09Naegi Makoto5950X
2519723075231069985464329
239313332580735706236070849
ADE7A757E36346B8


CERT results:
dateuseridcompid
2023-10-09curtiscwcm231--06l


P-1 factor-bounds graph:
B1 = 1864589, B2 = 186458900 (P-1 stage 2)
B1 = 1864589, B2 = 99532800 (P-1 stage 2)
B1 = 1864589, B2 = 49766400 (P-1 stage 2)
B1 = 1864589, B2 = 24883200 (P-1 stage 2)
B1 = 1864589 (P-1 stage 1)
B1 = 1244160, B2 = 12441600 (P-1 stage 2)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1244160 (P-1 stage 1)
B1 = 1036800 (P-1 stage 1)
B1 = 864000 (P-1 stage 1)
B1 = 720000 (P-1 stage 1)
B1 = 275000, B2 = 6000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 275000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
TF factor-bounds graph:
267
266
265
263
261
260
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.71 ~= 69-bit
250
260
270
280
290
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00