is 2 2120057 - 1
has 638201 decimal digits
takes 0.139 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE6B6BA5A74C5B963double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26828.114867.6471%25000001250000000.87467.9058%28.989470.2048%2.5578%
PrimeNet2580.018162.0690%90001600000.00162.6826%0.019863.0865%1.0175%
GPU722620.289864.5161%100001400000.00161.4541%0.291465.0321%0.5160%
Difference+6+27.8250+3.1309%+2490000+124860000+0.8730+6.4517%+28.6980+5.1727%+5.1727%

Known prime factors (1 factor, 81.5 bits, 0.00384514% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
212005734648960542163722895478572581.519817170494523584104
23 × 157 × 635021 × 1024554229
2019-07-306350211024554229276,2005.37909.940

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-07-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.224%
2009-08-02T20:32:00harleeP4_260020000260000---0.003--0.879%
2010-12-30T22:21:00Jocelyn LaroucheManual testing3000030000---0.003--0.352%
2011-01-11T22:55:00Jocelyn LaroucheManual testing5000050000---0.005--0.511%
2011-01-25T17:19:00James Heinrichi7-9201400003010000---0.028--2.770%
2016-06-23T05:17:04Jocelyn LaroucheManual testing220000602000012---0.051--3.479%
2017-08-19T15:48:38mikrMSI250000012500000012---0.875--7.906%
2017-09-05T23:15:03Jocelyn Larouchelow 4M44000044000006---0.063--3.566%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-11-11T00:00:00DLv4_computers21257--0.009--
1999-01-17T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.054--
2009-01-03T12:43:00Sturle Sundegiovanni.ifi260261--0.072--
2012-04-02T05:48:00Sebastian HornbostelManual testing261262--0.145--
2013-09-06T08:31:00ramgeisManual testing262263--0.463--
2015-03-15T12:13:00VictordeHollanderManual testing263264--0.926--
2015-03-15T12:13:00VictordeHollanderManual testing264265--1.762--
2015-10-21T19:11:16omylistManual testing265266--3.525--
2016-10-15T17:13:25Gordon SpenceManual testing266267--7.050--
2019-05-06T12:23:37TJAOIManual testing267268--14.10--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.408 GHz-days
Estimated T-Level:2.000
DigitsB1CurvesCompleteFacMiss
201100040 / 1000.40066.897%
255000040 / 2800.14386.666%

New Calculation Method

Total ECM effort:3.408 GHz-days
Estimated T-Level:2.000
DigitsB1CompleteFacMiss
20110001.29027.518%
25500000.11788.993%
302500000.00799.284%


ECM Summary

B1B2factorcurvesGHz-days
500005000000393.323
50000500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-11-11T00:00:00DLv4_computersE6B6BA5A74C5B9630.139
1999-01-29T00:00:00ANONYMOUSv4_computersE6B6BA5A74C5B9630.139
2018-04-04T07:18:44kkmrkkblmbrbkoldE6B6BA5A74C5B9630.139


PRP results:
dateuseridcompidcofactorsres64PRP
2019-07-31T06:01:31Niels_Mache_NextcloudSuperDry-X
3464896054216372289547857
E088A1D3D57B30D8no
2019-08-01T00:25:14marssystemssystem11
3464896054216372289547857
E088A1D3D57B30D8no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 440000, B2 = 4400000 (P-1 stage 2)
B1 = 220000, B2 = 6020000 (P-1 stage 2)
B1 = 440000 (P-1 stage 1)
B1 = 140000, B2 = 3010000 (P-1 stage 2)
B1 = 220000 (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:
268
267
266
265
264
263
262
261
260
258
257
250
260
270
280
290
2100
Last modified: 2019-08-01T00:25:14+00:00