is 2 2036393 - 1
has 613016 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-LC63A48873EEDDAC4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26829.269869.1176%40000002000000001.39948.7553%30.669371.8215%2.7038%
PrimeNet2580.018963.7931%90001600000.00162.6623%0.020564.7570%0.9639%
GPU722620.301766.1290%90001200000.00141.3285%0.303166.5790%0.4500%
Difference+6+28.9681+2.9886%+3991000+199880000+1.3980+7.4268%+30.3661+5.2425%+5.2425%

Known prime factors (1 factor, 75.8 bits, 0.00372055% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2036393641967874794692972049112375.76515762376780775935
5 × 2144279 × 1470179653
2020-02-27214427914701796536,828.07.829814.263

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.221%
2009-02-05T07:14:00markrManual testing1000003000000---0.025--2.577%
2014-07-04T02:22:00Jocelyn LaroucheManual testing131519131519---0.013--0.928%
2014-10-17T00:38:00Jocelyn LaroucheManual testing163038163038---0.016--1.045%
2015-10-05T14:07:36Bruno Victal4790K-windows5000001500000012---0.123--4.660%
2019-05-26T14:52:42mikrMSI400000020000000012---1.399--8.755%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.019--
2016-02-23T16:29:04Mark RoseManual testing258260--0.057--
2009-01-02T15:54:00Sturle Sundegiasha.ifi260261--0.075--
2012-02-10T21:47:00Sebastian HornbostelManual testing261262--0.151--
2013-08-29T08:26:00ramgeisManual testing262263--0.482--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.964--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.835--
2015-11-01T21:50:57ramgeisManual testing265266--3.670--
2016-07-29T19:18:38Gordon SpenceManual testing266267--7.339--
2019-03-20T02:02:09chuenkitManual testing267268--14.68--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.188 GHz-days
Estimated T-Level:3.650
DigitsB1CurvesCompleteFacMiss
201100073 / 1000.73048.014%
255000073 / 2800.26177.014%

New Calculation Method

Total ECM effort:6.188 GHz-days
Estimated T-Level:3.650
DigitsB1CompleteFacMiss
20110002.8086.034%
25500000.26077.122%
302500000.01698.375%


ECM Summary

B1B2factorcurvesGHz-days
500005000000726.103
50000500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computersC63A48873EEDDAC40.134
2016-07-15T18:00:38Mark RosemichelangeloC63A48873EEDDAC40.134


PRP results:
dateuseridcompidcofactorsres64PRP
2020-02-28T08:29:26Christoph ZengerManual testing
64196787479469297204911
E1658F1773741798no
2020-02-28T13:54:10Jinyuan WangManual testing
64196787479469297204911
E1658F1773741798no
2020-03-01T11:28:25Luigi Morelli9800X
64196787479469297204911
E1658F1773741798no


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 = 163038 (P-1 stage 1)
B1 = 131519 (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
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2020-03-01T11:28:25+00:00