is 2 2094413 - 1
has 630482 decimal digits
takes 0.138 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L23412B9CA4EB4BA9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.187268.6567%25000001250000000.87468.5637%15.061971.3409%2.6841%
PrimeNet2580.018363.7931%90001600000.00162.6764%0.020064.7622%0.9690%
GPU722620.293366.1290%90001400000.00151.4009%0.294966.6035%0.4745%
Difference+5+13.8939+2.5277%+2491000+124860000+0.8731+7.1628%+14.7670+4.7373%+4.7373%

Known prime factors (1 factor, 76.5 bits, 0.00365357% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20944131084087786064438560963272476.52125880468323688751
3 × 53 × 29017 × 5609478617
2018-06-0329017560947861710,23529.14054.420

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.276%
2009-07-27T05:31:00harleeP4_260020000260000---0.003--1.020%
2010-12-28T23:08:00Jocelyn LaroucheManual testing3000030000---0.003--0.414%
2011-01-09T14:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.595%
2011-01-22T05:31:00James HeinrichQ66001400003150000---0.029--3.129%
2016-07-27T10:56:35Jocelyn LaroucheManual testing186340630000012---0.050--3.800%
2016-11-05T16:28:43Jocelyn Larouchelow 4M223608223608---0.021--1.410%
2016-11-10T03:36:30Jocelyn Larouchelow 4M268329268329---0.026--1.540%
2017-05-21T22:25:02mikrMSI250000012500000012---0.875--8.564%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00RonLavalleev4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.055--
2009-01-03T06:23:00Sturle Sundemorovan.ifi260261--0.073--
2012-03-23T21:47:00Sebastian HornbostelManual testing261262--0.147--
2013-09-03T09:36:00ramgeisManual testing262263--0.469--
2015-04-10T15:56:00VictordeHollanderManual testing263264--0.937--
2015-04-10T15:56:00VictordeHollanderManual testing264265--1.784--
2015-11-02T09:33:36ramgeisManual testing265266--3.568--
2016-09-22T02:15:58Gordon SpenceManual testing266267--7.136--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.147 GHz-days
Estimated T-Level:1.850
DigitsB1CurvesCompleteFacMiss
201100037 / 1000.37068.945%
255000037 / 2800.13287.601%

New Calculation Method

Total ECM effort:3.147 GHz-days
Estimated T-Level:1.850
DigitsB1CompleteFacMiss
20110001.19430.314%
25500000.10889.774%
302500000.00799.338%


ECM Summary

B1B2factorcurvesGHz-days
500005000000363.062
50000500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00RonLavalleev4_computers23412B9CA4EB4BA90.138
2017-06-12T20:47:40kkmrkkblmbrbkc4.large23412B9CA4EB4BA90.138


PRP results:
dateuseridcompidcofactorsres64PRP
2018-06-05T06:02:17Oliver KruseGTX-4
108408778606443856096327
FBE05875E40EE7__no
2018-06-06T23:25:47krackerGRID-11
108408778606443856096327
FBE05875E40EE7__no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 186340, B2 = 6300000 (P-1 stage 2)
B1 = 140000, B2 = 3150000 (P-1 stage 2)
B1 = 268329 (P-1 stage 1)
B1 = 223608 (P-1 stage 1)
B1 = 186340 (P-1 stage 1)
B1 = 140000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2018-06-06T23:25:47+00:00