is 2 1889441 - 1
has 568779 decimal digits
takes 0.103 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD1C8CACC62942077double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26715.726368.6567%500000150000000.10155.0881%15.827870.2515%1.5948%
PrimeNet2570.010263.1579%90001600000.00143.0349%0.011564.2760%1.1181%
GPU722610.162665.5738%100001600000.00141.7254%0.164066.1678%0.5940%
Difference+6+15.5637+3.0829%+490000+14840000+0.1000+3.3627%+15.6638+4.0837%+4.0837%

Known prime factors (3 factors, 218.7 bits, 0.01157380% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
188944115292067912357461664872270.373404671749802123
227 × 760759 × 2343311
2021-10-207607592343311247.630.06660.1218
188944132738475435312070916232271.471866353472675571
3 × 31 × 743 × 12537858329
2021-10-2074312537858329259.1153.734100.36
18894411348156278526613006446332476.83535676061822692876
22 × 3 × 13 × 233 × 981513751037
2016-07-232339815137510379,530.44,206.57,856.6

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1889441500638989703838701298761473869483082103840143141.845
188944120616097367700067581746838659049461164101427145147.209
188944144136581207505258270355698546263891099420935945148.307
188944167493959724445050936748378312626778113515662488816
2223239747551833
66218.680
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-01-18T23:30:00markrtiny2750006000000---0.046--3.933%
2015-10-07T22:12:37Bruno Victal5820K-linux5000001500000012---0.101--5.088%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-09T00:00:00ANONYMOUSv4_computers21258--0.020--
2016-02-23T16:28:57Mark RoseManual testing258260--0.061--
2010-04-01T14:42:00Architects CubedManual testing260261--0.081--
2016-02-23T16:28:57Mark RoseManual testing261262--0.163--
2011-03-08T05:15:00GrunwalderGIMPManual testing21263--0.845--
2016-02-23T16:28:57Mark RoseManual testing262263--0.520--
2015-05-11T00:49:00snme2pm1Manual testing263264--1.039--
2015-05-11T00:49:00snme2pm1Manual testing264265--1.978--
2015-09-13T19:11:00ramgeisManual testing265266--3.955--


ECM factoring results:

Old Calculation Method

Total ECM effort:19.895 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:19.895 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110008.8250.015%
25500000.80044.944%
302500000.04995.172%
3510000000.00299.773%


ECM Summary

B1B2factorcurvesGHz-days
500005000000302.080
50000500000020.139
500006600000594.614
500006600000282.190
50000660000013210.32
50000670000070.551


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-05-25T00:00:00ANONYMOUSv4_computersD1C8CACC629420770.103
2016-04-03T01:21:50kkmrkkblmbrbkoldD1C8CACC629420770.103


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T15:53:08Oliver KruseGTX-1
134815627852661300644633
0B7A9C8B597CBC__no
2017-11-11T05:38:37kkmrkkblmbrbkc4.xlarge
134815627852661300644633
0B7A9C8B597CBC__no
2021-10-20T19:36:27SRJ2877LTOS
1529206791235746166487
3273847543531207091623
134815627852661300644633
446B71371230B29Bno


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 275000, B2 = 6000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 275000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2021-10-20T19:36:27+00:00