is 2 2136593 - 1
has 643179 decimal digits
takes 0.140 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBC1589FE361EDC25double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.897267.6471%25000001250000000.87467.9120%28.771870.2068%2.5598%
PrimeNet2580.018062.0690%90001700000.00172.7305%0.019763.1047%1.0357%
GPU722620.287564.5161%100001500000.00171.4871%0.289265.0438%0.5277%
Difference+6+27.6096+3.1309%+2490000+124850000+0.8730+6.4249%+28.4826+5.1630%+5.1630%

Known prime factors (1 factor, 75.5 bits, 0.00353568% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2136593550492609355066684133612375.54312882486494972760
23 × 3 × 5 × 29 × 21991 × 168335407
2020-07-22219911683354076,604.70.87641.6331

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.224%
2010-10-26T04:34:00Oscar Östlin7501175011---0.007--0.669%
2010-11-26T14:18:00Oscar Östlin800001500000---0.015--2.103%
2013-11-15T17:52:00c10ck3rManual testing50000010000000---0.097--4.330%
2017-10-12T08:50:40mikrMSI250000012500000012---0.875--7.912%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:06Mark RoseManual testing258260--0.054--
2009-01-04T23:23:00Sturle Sundeeberlin.ifi260261--0.072--
2012-04-15T17:48:00Sebastian HornbostelManual testing261262--0.144--
2013-02-21T00:57:00dbaughManual testing262263--0.459--
2015-03-18T10:55:00VictordeHollanderManual testing263264--0.919--
2015-03-18T10:56:00VictordeHollanderManual testing264265--1.749--
2015-12-27T16:49:14ramgeisManual testing265266--3.498--
2016-10-29T15:24:09Gordon SpenceManual testing266267--6.995--
2019-04-22T13:11:43TJAOIManual testing267268--13.99--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.870 GHz-days
Estimated T-Level:21.857
DigitsB1CurvesCompleteFacMiss
2011000104 / 1001.04035.161%
2550000104 / 2800.37168.929%

New Calculation Method

Total ECM effort:8.870 GHz-days
Estimated T-Level:21.857
DigitsB1CompleteFacMiss
20110003.3553.492%
25500000.30373.845%
302500000.01998.150%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001018.614
50000500000030.256


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00ANONYMOUSv4_computersBC1589FE361EDC250.140
2018-04-06T23:40:56kkmrkkblmbrbkoldBC1589FE361EDC250.140


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-23T02:58:52argusdustyArgus-PC
55049260935506668413361
86F04E9D15BFD731no
2020-07-28T20:20:01Yves BellefeuilleRyzen_1600
55049260935506668413361
86F04E9D15BFD731no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 80000, B2 = 1500000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
B1 = 75011 (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
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2020-07-28T20:20:01+00:00