is 2 1956811 - 1
has 589059 decimal digits
takes 0.106 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L97CEFC5B44C67405double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26830.460269.1176%19568112446013751.19388.4493%31.654171.7270%2.6094%
PrimeNet2580.019663.7931%80001400000.00122.4684%0.020864.6868%0.8937%
GPU722620.314066.1290%8000900000.00101.1540%0.314966.5199%0.3909%
Difference+6+30.1463+2.9886%+1948811+244511375+1.1929+7.2954%+31.3391+5.2071%+5.2071%

Known prime factors (1 factor, 72.8 bits, 0.00372149% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
195681183512844493537792582892272.8222133901651552904
23 × 266737706444113
2020-01-288266737706444113537.811,143,1712,135,125

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-05-12T02:56:00kurlyhex100000030000000---0.203--5.698%
2018-01-19T13:04:09Jocelyn Larouchelow 4M19568113000000012---0.274--6.053%
2018-02-14T12:53:52Jocelyn Larouchelow 4M19568116000000012---0.403--6.837%
2018-03-03T12:04:31Jocelyn Larouchelow 4M195681112000000012---0.660--7.629%
2018-05-11T11:44:18Jocelyn Larouchelow 4M195681119568110012---0.984--8.192%
2018-11-26T12:54:00Jocelyn LaroucheManual testing195681124460137512---1.194--8.449%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-12-21T00:00:00ANONYMOUSv4_computers21258--0.020--
2016-02-23T16:29:00Mark RoseManual testing258260--0.059--
2010-01-13T18:34:00S485122USB-W260261--0.078--
2016-02-23T16:29:00Mark RoseManual testing261262--0.157--
2011-08-27T22:19:00GrunwalderGIMPManual testing21263--0.816--
2016-02-23T16:29:00Mark RoseManual testing262263--0.502--
2015-04-21T18:59:00lycornManual testing263264--1.003--
2015-04-21T19:00:00lycornManual testing264265--1.909--
2015-09-08T08:29:00ramgeisManual testing265266--3.819--
2018-01-22T18:13:15TJAOIManual testing266267--7.638--
2019-05-13T12:32:10chuenkitManual testing267268--15.28--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.081 GHz-days
Estimated T-Level:3.650
DigitsB1CurvesCompleteFacMiss
201100073 / 1000.73048.014%
255000073 / 2800.26177.014%

New Calculation Method

Total ECM effort:5.081 GHz-days
Estimated T-Level:3.650
DigitsB1CompleteFacMiss
20110002.3559.491%
25500000.21380.830%
302500000.01398.698%


ECM Summary

B1B2factorcurvesGHz-days
500005000000725.012
50000500000010.070


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-27T00:00:00ANONYMOUSv4_computers97CEFC5B44C674050.106
2015-06-28T05:06:00MadPooManual testing97CEFC5B44C674050.106


PRP results:
dateuseridcompidcofactorsres64PRP
2020-01-29T11:12:24Jinyuan WangManual testing
8351284449353779258289
9957D8CF65D03907no
2020-01-30T01:54:26Jinyuan WangManual testing
8351284449353779258289
9957D8CF65D03907no
2020-02-01T03:18:52Luigi Morelli9800X
8351284449353779258289
9957D8CF65D03907no


P-1 factor-bounds graph:
B1 = 1956811, B2 = 244601375 (P-1 stage 2)
B1 = 1956811, B2 = 195681100 (P-1 stage 2)
B1 = 1956811, B2 = 120000000 (P-1 stage 2)
B1 = 1956811, B2 = 60000000 (P-1 stage 2)
B1 = 1956811, B2 = 30000000 (P-1 stage 2)
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1956811 (P-1 stage 1)
B1 = 1000000 (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
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2020-06-01T06:45:09+00:00