is 2 2136733 - 1
has 643221 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-L672C6C1657C87BD9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.895367.6471%25000001250000000.87467.9120%28.770070.2068%2.5598%
PrimeNet2580.018062.0690%90001700000.00172.7306%0.019763.1047%1.0357%
GPU722620.287564.5161%100001500000.00171.4871%0.289265.0438%0.5277%
Difference+6+27.6078+3.1309%+2490000+124850000+0.8730+6.4249%+28.4808+5.1630%+5.1630%

Known prime factors (1 factor, 82.3 bits, 0.00384976% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
213673357870862453250202620263132582.2591354190309534466932
22 × 11 × 947 × 24623 × 1319884963
2020-03-17246231319884963908,0586.858012.805

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.224%
2010-10-26T02:00:00Oscar Östlin7501175011---0.007--0.669%
2010-11-26T14:36:00Oscar Östlin800001500000---0.015--2.103%
2013-11-15T17:52:00c10ck3rManual testing50000010000000---0.097--4.330%
2017-10-12T13:05:54mikrMSI250000012500000012---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--
2009-01-04T23:52:00Sturle Sundeeberlin.ifi260261--0.072--
2012-04-15T18:47:00Sebastian HornbostelManual testing261262--0.144--
2013-02-21T00:57:00dbaughManual testing262263--0.459--
2015-03-18T10:56:00VictordeHollanderManual testing263264--0.919--
2015-03-18T10:56:00VictordeHollanderManual testing264265--1.749--
2015-12-27T16:49:14ramgeisManual testing265266--3.497--
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:5.629 GHz-days
Estimated T-Level:3.300
DigitsB1CurvesCompleteFacMiss
201100066 / 1000.66051.514%
255000066 / 2800.23678.967%

New Calculation Method

Total ECM effort:5.629 GHz-days
Estimated T-Level:3.300
DigitsB1CompleteFacMiss
20110002.12911.895%
25500000.19282.496%
302500000.01298.822%


ECM Summary

B1B2factorcurvesGHz-days
500005000000655.543
50000500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00ANONYMOUSv4_computersCC0EA4526BA282__0.140
1999-06-06T00:00:00ANONYMOUSv4_computers672C6C1657C87BD90.140
2018-04-06T23:51:14kkmrkkblmbrbkold672C6C1657C87BD90.140


PRP results:
dateuseridcompidcofactorsres64PRP
2020-03-17T23:03:35Niels_Mache_NextcloudSuperDry-X
5787086245325020262026313
F9845220A7A53CEEno
2020-03-18T22:21:39marssystemssystem11
5787086245325020262026313
F9845220A7A53CEEno


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
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2020-03-18T22:21:39+00:00