is 2 2203177 - 1
has 663223 decimal digits
takes 0.145 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF1973B4AD18A0168double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.054167.6471%50000002000000001.48968.9582%28.543670.5453%2.8982%
PrimeNet2580.017462.0690%100001800000.00182.8638%0.019363.1553%1.0863%
GPU722620.278964.5161%110001700000.00191.6005%0.280765.0840%0.5679%
Difference+6+26.7752+3.1309%+4989000+199830000+1.4877+7.3577%+28.2629+5.4613%+5.4613%

Known prime factors (1 factor, 86.3 bits, 0.00391581% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2203177934438312688749252540632172686.27221206610106422435704
23 × 2650826263302804463
2020-03-038265082626330280446313,647,3441.377e+102.572e+10

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.226%
2010-11-05T01:17:00Jocelyn LaroucheManual testing1500015000---0.001--0.199%
2010-11-09T22:13:00Jocelyn LaroucheManual testing3000030000---0.003--0.355%
2011-01-10T02:18:00markrtiny900001642500---0.017--2.215%
2014-06-24T22:45:00Jocelyn LaroucheManual testing119133119133---0.011--0.890%
2014-10-17T00:38:00Jocelyn LaroucheManual testing148266148266---0.014--1.006%
2015-11-05T12:39:41Alexander DubrovinManual testing50000017000006---0.054--2.829%
2015-11-14T18:11:53Alexander DubrovinManual testing100000030000006---0.106--3.479%
2015-11-15T17:57:16Alexander DubrovinManual testing100000070000006---0.127--4.311%
2015-11-17T11:13:18Alexander DubrovinManual testing1000000100000006---0.142--4.665%
2015-11-17T13:55:35Alexander DubrovinManual testing1000000140000006---0.163--5.002%
2015-11-19T06:46:29Alexander DubrovinManual testing1000000200000006---0.194--5.362%
2015-11-19T06:46:29Alexander DubrovinManual testing10000003000000012---0.246--5.775%
2015-11-19T06:46:29Alexander DubrovinManual testing1000000350000006---0.272--5.932%
2015-11-19T06:46:29Alexander DubrovinManual testing10000004500000012---0.324--6.191%
2015-11-21T11:25:18Alexander DubrovinManual testing1000000500000006---0.350--6.300%
2015-11-21T11:25:18Alexander DubrovinManual testing10000006000000012---0.402--6.489%
2015-11-21T11:25:18Alexander DubrovinManual testing1000000650000006---0.428--6.572%
2015-11-21T11:25:19Alexander DubrovinManual testing1000000700000006---0.454--6.649%
2015-11-21T11:25:19Alexander DubrovinManual testing10000009000000012---0.558--6.912%
2015-12-12T05:09:12Alexander DubrovinManual testing20000009100000012---0.653--7.417%
2015-12-19T14:32:39Alexander DubrovinManual testing200000012000000012---0.804--7.737%
2015-12-22T07:10:49Alexander DubrovinManual testing200000020000000012---1.219--8.331%
2019-12-04T21:55:26mikrMSI500000020000000012---1.490--8.958%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:08Mark RoseManual testing258260--0.052--
2009-01-02T14:24:00Sturle Sundedittersdorf.ifi260261--0.070--
2009-01-07T17:58:00Sturle Sundegouffy.ifi261262--0.139--
2013-12-04T02:15:00LaurVManual testing262263--0.446--
2015-03-03T21:37:00VictordeHollanderManual testing263264--0.891--
2015-03-03T21:37:00VictordeHollanderManual testing264265--1.696--
2015-10-21T10:28:06ramgeisManual testing265266--3.392--
2016-12-04T17:18:55Gordon SpenceManual testing266267--6.784--
2019-05-13T13:38:17TJAOIManual testing267268--13.57--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.367 GHz-days
Estimated T-Level:2.550
DigitsB1CurvesCompleteFacMiss
201100051 / 1000.51059.896%
255000051 / 2800.18283.321%

New Calculation Method

Total ECM effort:4.367 GHz-days
Estimated T-Level:2.550
DigitsB1CompleteFacMiss
20110001.64519.298%
25500000.14986.184%
302500000.00999.089%


ECM Summary

B1B2factorcurvesGHz-days
500005000000504.281
50000500000010.086


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computersF1973B4AD18A01680.145
2018-04-16T07:26:41kkmrkkblmbrbkoldF1973B4AD18A01680.145


PRP results:
dateuseridcompidcofactorsres64PRP
2020-03-04T04:06:00Yuji HASEGAWAvj20a
93443831268874925254063217
2F34C13E4AE1EA85no
2020-03-04T12:07:10oodairacom2
93443831268874925254063217
2F34C13E4AE1EA85no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 2000000, B2 = 200000000 (P-1 stage 2)
B1 = 2000000, B2 = 120000000 (P-1 stage 2)
B1 = 2000000, B2 = 91000000 (P-1 stage 2)
B1 = 1000000, B2 = 90000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 1000000, B2 = 70000000 (P-1 stage 2)
B1 = 1000000, B2 = 65000000 (P-1 stage 2)
B1 = 1000000, B2 = 60000000 (P-1 stage 2)
B1 = 1000000, B2 = 50000000 (P-1 stage 2)
B1 = 1000000, B2 = 45000000 (P-1 stage 2)
B1 = 1000000, B2 = 35000000 (P-1 stage 2)
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000, B2 = 14000000 (P-1 stage 2)
B1 = 1000000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000, B2 = 7000000 (P-1 stage 2)
B1 = 1000000, B2 = 3000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000, B2 = 1700000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 90000, B2 = 1642500 (P-1 stage 2)
B1 = 148266 (P-1 stage 1)
B1 = 119133 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (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
1016
1017
1018
1019
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2020-03-04T12:07:10+00:00