is 2 2036693 - 1
has 613106 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-L98D6283338FC2547double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26829.265569.1176%40000002000000001.39948.7554%30.664971.8215%2.7039%
PrimeNet2580.018963.7931%90001600000.00162.6624%0.020564.7571%0.9640%
GPU722620.301666.1290%90001200000.00141.3285%0.303166.5790%0.4500%
Difference+6+28.9639+2.9886%+3991000+199880000+1.3980+7.4269%+30.3619+5.2425%+5.2425%

Known prime factors (1 factor, 107.2 bits, 0.00526463% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
203669318955094569996075786812447780205733107.22446534000386892074030824596
22 × 691 × 1511 × 328051 × 665131 × 51064529
2019-05-28665131510645297.706e+100.32520.4954

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 testing131514131514---0.013--0.928%
2014-10-17T00:38:00Jocelyn LaroucheManual testing163028163028---0.016--1.045%
2015-10-05T17:00:24Bruno Victal4790K-windows5000001500000012---0.123--4.660%
2019-05-28T05:53:02mikrMSI40000002000000001233107.2241.3990.2682.7998.755%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.019--
1999-09-30T00:00:00ANONYMOUSv4_computers21258--0.019--
2016-02-23T16:29:04Mark RoseManual testing258260--0.057--
2009-01-02T19:02:00Sturle Sundegiasha.ifi260261--0.075--
2012-02-10T22:47:00Sebastian 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--3.669--
2016-07-29T19:18:38Gordon SpenceManual testing266267--7.338--
2019-03-20T02:02:09chuenkitManual testing267268--14.68--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.560 GHz-days
Estimated T-Level:2.100
DigitsB1CurvesCompleteFacMiss
201100042 / 1000.42065.566%
255000042 / 2800.15086.048%

New Calculation Method

Total ECM effort:3.560 GHz-days
Estimated T-Level:2.100
DigitsB1CompleteFacMiss
20110001.35525.799%
25500000.12288.475%
302500000.00899.249%


ECM Summary

B1B2factorcurvesGHz-days
500005000000423.560


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-10T00:00:00ANONYMOUSv4_computers98D6283338FC25470.134
1999-09-30T00:00:00ANONYMOUSv4_computers98D6283338FC25470.134
2016-07-15T18:03:40Mark Roseleonardo98D6283338FC25470.134


PRP results:
dateuseridcompidcofactorsres64PRP
2019-05-29T03:43:23Daniel BambergerTycho
189550945699960757868124477802057
E865502DEFE8D087no
2019-06-01T19:15:01Chang Chia-Tcheexbpc13
189550945699960757868124477802057
E865502DEFE8D087no


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 = 163028 (P-1 stage 1)
B1 = 131514 (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
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105
106
107
102
103
104
105
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107
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109
TF factor-bounds graph:
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266
265
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263
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261
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258
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2100
2110
Last modified: 2019-06-01T19:15:01+00:00