is 2 2138629 - 1
has 643792 decimal digits
takes 0.141 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA2BD463D0C88C10Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.870667.6471%25000001250000000.87467.9127%28.745270.2071%2.5600%
PrimeNet2580.018062.0690%90001700000.00172.7310%0.019663.1049%1.0359%
GPU722620.287364.5161%100001500000.00171.4873%0.288965.0439%0.5278%
Difference+6+27.5833+3.1309%+2490000+124850000+0.8730+6.4254%+28.4563+5.1632%+5.1632%

Known prime factors (1 factor, 81.0 bits, 0.00378807% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
213862924394441393372210081554472581.013570328967608973087
21649 × 26344356210863
2020-04-122164926344356210863391,917136,839255,577

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.225%
2010-10-26T06:40:00Oscar Östlin7501175011---0.007--0.669%
2010-11-27T10:40:00Oscar Östlin800001500000---0.015--2.103%
2013-12-03T16:49:00c10ck3rManual testing50000010000000---0.097--4.330%
2017-10-19T20:43:04mikrMSI250000012500000012---0.875--7.913%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:06Mark RoseManual testing258260--0.054--
2009-01-04T22:58:00Sturle Sundefigaro.ifi260261--0.072--
2012-04-16T06:48:00Sebastian HornbostelManual testing261262--0.144--
2013-02-21T00:57:00dbaughManual testing262263--0.459--
2015-03-18T10:56:00VictordeHollanderManual testing263264--0.918--
2015-03-18T10:56:00VictordeHollanderManual testing264265--1.747--
2015-12-27T16:49:14ramgeisManual testing265266--3.494--
2016-10-29T15:24:10Gordon SpenceManual testing266267--6.988--
2019-04-22T13:11:42TJAOIManual testing267268--13.98--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.056 GHz-days
Estimated T-Level:3.550
DigitsB1CurvesCompleteFacMiss
201100071 / 1000.71048.989%
255000071 / 2800.25477.567%

New Calculation Method

Total ECM effort:6.056 GHz-days
Estimated T-Level:3.550
DigitsB1CompleteFacMiss
20110002.29010.123%
25500000.20781.302%
302500000.01398.733%


ECM Summary

B1B2factorcurvesGHz-days
500005000000695.885
50000500000020.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14T00:00:00ANONYMOUSv4_computersA2BD463D0C88C10B0.141
2018-04-07T05:59:02kkmrkkblmbrbkoldA2BD463D0C88C10B0.141


PRP results:
dateuseridcompidcofactorsres64PRP
2020-04-13T01:42:03CrypticCluecruncher
2439444139337221008155447
3EF1A6DEF6165F57no
2020-04-13T04:35:04Igvan28MineOld
2439444139337221008155447
3EF1A6DEF6165F57no


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
1011
1012
1013
1014
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2020-04-13T04:35:04+00:00