is 2 2039651 - 1
has 613997 decimal digits
takes 0.134 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFFBBD71DA26537BCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26829.223169.1176%40000002000000001.39948.7566%30.622571.8219%2.7043%
PrimeNet2580.018863.7931%90001600000.00162.6631%0.020564.7573%0.9642%
GPU722620.301266.1290%90001200000.00141.3289%0.302666.5791%0.4501%
Difference+6+28.9219+2.9886%+3991000+199880000+1.3980+7.4277%+30.3199+5.2428%+5.2428%

Known prime factors (1 factor, 87.6 bits, 0.00429411% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20396512320969891553247361619854792787.58556896250671150293889
359 × 19891 × 7967692821581
2020-08-0319891796769282158116,727,21241,38677,298

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.221%
2009-02-10T22:35:00markrManual testing1000003000000---0.025--2.578%
2014-07-18T01:19:00Jocelyn LaroucheManual testing131468131468---0.013--0.928%
2014-10-17T00:38:00Jocelyn LaroucheManual testing162936162936---0.016--1.045%
2015-10-05T16:36:02Bruno Victal4790K-windows5000001500000012---0.123--4.661%
2019-06-21T15:05:43mikrMSI400000020000000012---1.399--8.757%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00twmossv4_computers21258--0.019--
2016-02-23T16:29:04Mark RoseManual testing258260--0.056--
2009-01-02T12:27:00Sturle Sundeginy.ifi260261--0.075--
2012-02-11T14:48:00Sebastian HornbostelManual testing261262--0.151--
2013-08-30T08:22:00ramgeisManual testing262263--0.481--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.963--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.832--
2015-11-01T21:50:59ramgeisManual testing265266--3.664--
2016-07-30T17:09:10Gordon SpenceManual testing266267--7.327--
2019-03-21T06:49:56chuenkitManual testing267268--14.65--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.344 GHz-days
Estimated T-Level:22.179
DigitsB1CurvesCompleteFacMiss
2011000122 / 1001.22029.342%
2550000122 / 2800.43664.630%

New Calculation Method

Total ECM effort:10.344 GHz-days
Estimated T-Level:22.179
DigitsB1CompleteFacMiss
20110003.9351.954%
25500000.35670.069%
302500000.02297.834%
3510000000.00199.900%


ECM Summary

B1B2factorcurvesGHz-days
50000500000012010.17
50000500000020.170


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26T00:00:00ANONYMOUSv4_computersFFBBD71DA26537BC0.134
2016-07-15T19:16:45Mark RoseraphaelFFBBD71DA26537BC0.134


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-03T08:36:45CrypticCluecruncher
232096989155324736161985479
D2945FB528252CA4no
2020-08-06T01:25:05kutensspica
232096989155324736161985479
D2945FB528252CA4no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 200000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 100000, B2 = 3000000 (P-1 stage 2)
B1 = 162936 (P-1 stage 1)
B1 = 131468 (P-1 stage 1)
B1 = 100000 (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
1011
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1013
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
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260
270
280
290
2100
Last modified: 2020-08-06T01:25:05+00:00