is 2 3568993 - 1
has 1074374 decimal digits
takes 0.375 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB23DAE5BF2D62AF5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26816.700867.6471%10000001303186501.22537.6853%17.926070.1335%2.4864%
PrimeNet2600.043063.3333%150003000000.00462.9706%0.047764.4226%1.0892%
GPU722640.997365.6250%200004000000.00621.9773%1.003566.3047%0.6797%
Difference+4+15.7035+2.0221%+980000+129918650+1.2191+5.7080%+16.9225+3.8288%+3.8288%

Known prime factors (1 factor, 71.2 bits, 0.00199383% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
356899326372506923916189356072271.160369467058690171
33 × 13 × 1052612702821
2019-11-12271052612702821229.418,733.716,312

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-05-17T00:00:00ANONYMOUSv4_computers15000187500---0.004--0.795%
2010-09-13T05:21:00markrtiny1000002225000---0.033--2.621%
2016-10-06T15:59:26Squeeky_SquirrelP4_2600225000652500012---0.087--3.807%
2016-12-28T01:45:59Jocelyn Larouchelow 4M2000020000---0.003--0.286%
2016-12-29T20:13:40Jocelyn Larouchelow 4M8000080000---0.012--0.769%
2017-01-04T22:58:45Jocelyn Larouchelow 4M120000120000---0.018--0.975%
2022-04-08T06:41:02Jocelyn LaroucheManual testing1000000130318650---1.225--7.685%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-25T00:00:00ANONYMOUSv4_computers21260--0.043--
2009-03-15T19:18:00S485122USB-A260261--0.043--
2011-06-17T23:43:00markrManual testing21262--0.172--
2012-07-02T04:03:00GrunwalderGIMPManual testing21263--0.447--
2016-02-23T16:29:33Mark RoseManual testing262263--0.275--
2015-01-30T19:16:00VictordeHollanderManual testing263264--0.550--
2015-01-30T19:16:00VictordeHollanderManual testing264265--1.047--
2016-03-02T09:22:01ramgeisManual testing265266--2.094--
2017-01-20T05:22:15Gordon SpenceManual testing266267--4.188--
2018-12-10T15:07:46TJAOIManual testing267268--8.375--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.072 GHz-days
Estimated T-Level:0.700
DigitsB1CurvesCompleteFacMiss
201100014 / 1000.14086.875%
255000014 / 2800.05095.114%

New Calculation Method

Total ECM effort:2.072 GHz-days
Estimated T-Level:0.700
DigitsB1CompleteFacMiss
20110000.45263.660%
25500000.04196.001%
302500000.00399.749%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.776
50000500000020.296


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-03T00:00:00ANONYMOUSv4_computersB23DAE5BF2D62AF50.375
2000-06-23T00:00:00ANONYMOUSv4_computersB23DAE5BF2D62AF50.375
2000-06-29T00:00:00ANONYMOUSv4_computers036B718475B12F__0.375


PRP results:
dateuseridcompidcofactorsres64PRP
2019-11-13T13:49:55Niels_Mache_NextcloudSuperDry-X
2637250692391618935607
5C6A4071C8EF1CADno
2019-11-13T14:20:41ATHec2-PRPCFDC
2637250692391618935607
5C6A4071C8EF1CADno


P-1 factor-bounds graph:
B1 = 1000000, B2 = 130318650 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 225000, B2 = 6525000 (P-1 stage 2)
B1 = 225000 (P-1 stage 1)
B1 = 100000, B2 = 2225000 (P-1 stage 2)
B1 = 120000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 80000 (P-1 stage 1)
B1 = 15000, B2 = 187500 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-04-08T06:41:02+00:00