is 2 2036869 - 1
has 613159 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-L16546BE38F11123Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26829.263069.1176%4000000150000000.43855.5002%29.701570.8162%1.6986%
PrimeNet2580.018963.7931%90001600000.00162.6624%0.020564.7571%0.9640%
GPU722620.301666.1290%90001200000.00141.3285%0.303166.5790%0.4500%
Difference+6+28.9614+2.9886%+3991000+14880000+0.4371+4.1717%+29.3984+4.2372%+4.2372%

Known prime factors (1 factor, 91.7 bits, 0.00450157% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
203686939974656908659911924735989372891.691981277070559272882172
22 × 35 × 23 × 10691 × 1326319 × 3095503
2019-05-2813263193095503377,940,4700.13560.2573

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 testing131511131511---0.013--0.928%
2014-10-17T00:38:00Jocelyn LaroucheManual testing163022163022---0.016--1.045%
2015-10-05T18:17:08Bruno Victal4790K-windows5000001500000012---0.123--4.660%
2019-05-28T14:23:19mikrMSI4000000150000002891.6910.3810.2680.7635.500%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21258--0.019--
2016-02-23T16:29:04Mark RoseManual testing258260--0.057--
2009-01-02T20:06:00Sturle 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--1.834--
2015-11-01T21:50:57ramgeisManual testing265266--3.669--
2016-07-29T19:18:38Gordon SpenceManual testing266267--7.337--
2019-03-21T06:49:55chuenkitManual testing267268--14.67--


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)
2015-11-13T19:44:55MadPooManual testing16546BE38F11123D0.134


PRP results:
dateuseridcompidcofactorsres64PRP
2019-05-29T03:40:59Niels_Mache_NextcloudSuperDry-X
3997465690865991192473598937
9B14F9089D8C0F07no
2019-05-30T00:57:08kkmrkkblmbrbkc5.large
3997465690865991192473598937
9B14F9089D8C0F07no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 15000000 (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 = 163022 (P-1 stage 1)
B1 = 131511 (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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104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2019-05-30T00:57:08+00:00