is 2 1673839 - 1
has 503876 decimal digits
takes 0.079 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCAE36FFF867D8DB0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26717.752068.6567%1000000200000000.13895.6971%17.890870.4424%1.7856%
PrimeNet2570.011563.1579%70001200000.00092.5706%0.012464.1050%0.9471%
GPU722610.183565.5738%7000800000.00071.2074%0.184365.9894%0.4157%
Difference+6+17.5684+3.0829%+993000+19920000+0.1381+4.4897%+17.7066+4.4529%+4.4529%

Known prime factors (1 factor, 84.8 bits, 0.00506915% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1673839348497895495422909755919772684.84910410137877520565292
22 × 3 × 867511489793380441
2016-10-2148675114897933804412,863,4943.225e+96.024e+9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-02-29T17:09:00AxonManual testing100000100000---0.007--0.880%
2012-02-29T17:13:00AxonManual testing200000200000---0.014--1.285%
2012-02-29T18:09:00AxonManual testing300000300000---0.020--1.566%
2012-02-29T18:12:00AxonManual testing400000400000---0.027--1.786%
2012-02-29T19:10:00AxonManual testing500000500000---0.034--1.968%
2012-02-29T19:13:00AxonManual testing600000600000---0.041--2.125%
2012-02-29T20:09:00AxonManual testing700000700000---0.048--2.263%
2012-02-29T20:12:00AxonManual testing800000800000---0.055--2.386%
2012-02-29T21:11:00AxonManual testing900000900000---0.061--2.497%
2012-02-29T21:14:00AxonManual testing10000001000000---0.068--2.600%
2012-03-01T06:09:00AxonManual testing10000008000000---0.094--4.731%
2012-03-01T07:10:00AxonManual testing100000020000000---0.139--5.697%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-14T00:00:00ANONYMOUSv4_computers21257--0.011--
2003-04-03T00:00:00ANONYMOUSv4_computers21258--0.023--
2016-02-23T16:28:45Mark RoseManual testing258260--0.069--
2010-04-27T21:20:00Architects Cubedm1_f2260261--0.092--
2016-02-23T16:28:45Mark RoseManual testing261262--0.184--
2010-08-31T00:27:00GrunwalderGIMPManual testing21263--0.954--
2016-02-23T16:28:45Mark RoseManual testing262263--0.586--
2015-05-12T11:31:00omylistManual testing263264--1.173--
2015-05-13T21:27:00monstManual testing264265--2.232--
2015-10-11T16:52:35ramgeisManual testing265266--4.464--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.895 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:14.895 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
50000500000024814.72
50000500000030.178


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-10T00:00:00ANONYMOUSv4_computersCAE36FFF867D8DB00.079
2015-07-01T17:35:00MadPooManual testingCAE36FFF867D8DB00.079


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-02T23:23:55Oliver KruseGTX-2
34849789549542290975591977
33C5AFD37AEEF8__no
2017-11-03T01:35:28kkmrkkblmbrbkc4.xlarge
34849789549542290975591977
33C5AFD37AEEF8__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000, B2 = 8000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 900000 (P-1 stage 1)
B1 = 800000 (P-1 stage 1)
B1 = 700000 (P-1 stage 1)
B1 = 600000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 400000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
100
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100
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102
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1010
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1016
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1018
TF factor-bounds graph:
267
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265
264
263
262
261
260
258
257
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2100
Last modified: 2020-01-06T12:24:47+00:00