is 2 2090441 - 1
has 629286 decimal digits
takes 0.137 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9FF67241DA6D22BEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.214268.6567%25000001250000000.87468.5621%15.088871.3404%2.6836%
PrimeNet2580.018463.7931%90001600000.00162.6755%0.020064.7618%0.9687%
GPU722620.293966.1290%90001400000.00151.4003%0.295466.6033%0.4743%
Difference+5+13.9203+2.5277%+2491000+124860000+0.8731+7.1617%+14.7934+4.7370%+4.7370%

Known prime factors (1 factor, 91.8 bits, 0.00439243% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
209044143744464789775981814908554312891.8211046297522622642347115
34 × 5 × 107 × 1699 × 3406709 × 4171459
2018-05-2834067094171459246,905,2800.32880.6610

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.276%
2009-07-27T00:25:00harleeP4_260020000260000---0.003--1.019%
2010-12-28T23:08:00Jocelyn LaroucheManual testing3000030000---0.003--0.414%
2011-01-08T14:34:00Jocelyn LaroucheManual testing5000050000---0.005--0.595%
2011-01-18T23:17:00James HeinrichQ66001400003150000---0.029--3.128%
2016-07-24T21:21:51Jocelyn LaroucheManual testing186340630000012---0.050--3.799%
2016-11-05T03:54:49Jocelyn Larouchelow 4M223608223608---0.021--1.410%
2016-11-08T17:01:23Jocelyn Larouchelow 4M268329268329---0.026--1.540%
2017-05-07T10:15:52mikrMSI250000012500000012---0.875--8.562%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.055--
2009-01-02T23:36:00Sturle Sundekorsmo.ifi260261--0.073--
2012-03-20T09:47:00Sebastian HornbostelManual testing261262--0.147--
2013-09-03T09:36:00ramgeisManual testing262263--0.470--
2015-04-10T15:56:00VictordeHollanderManual testing263264--0.939--
2015-04-10T15:56:00VictordeHollanderManual testing264265--1.787--
2015-11-06T09:16:14ramgeisManual testing265266--3.575--
2016-09-22T02:15:56Gordon SpenceManual testing266267--7.149--


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)
1999-01-29T00:00:00ANONYMOUSv4_computers9FF67241DA6D22BE0.137
2017-06-12T03:03:43kkmrkkblmbrbkc4.large9FF67241DA6D22BE0.137


PRP results:
dateuseridcompidcofactorsres64PRP
2018-06-02T00:41:39Oliver KruseGTX-6
4374446478977598181490855431
5B7E8E6FBD3811__no
2018-06-03T16:13:09krackerGRID-11
4374446478977598181490855431
5B7E8E6FBD3811__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
TF factor-bounds graph:
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2018-06-03T16:13:09+00:00