is 2 2298613 - 1
has 691952 decimal digits
takes 0.155 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-LFD40205CD20507D5double-checked
PRPE6CE3F63B38B97__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26951.938668.1159%500000100000000.09973.9564%52.038369.3774%1.2614%
PrimeNet2580.016762.0690%100001900000.00192.9277%0.018663.1795%1.1105%
GPU722620.267364.5161%120002000000.00221.7373%0.269565.1326%0.6165%
Difference+7+51.6713+3.5998%+488000+9800000+0.0975+2.2190%+51.7688+4.2448%+4.2448%

Known prime factors (1 factor, 87.0 bits, 0.00378616% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22986131579018367502716905095716872787.02934347199104475544711
47 × 97 × 7533932683587529
2021-09-2097753393268358752917,386,85240,207,76275,096,902

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-08-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.185%
2010-10-20T18:30:00Oscar Östlin7501175011---0.007--0.585%
2011-01-17T14:53:00Oscar Östlin900001755000---0.018--2.006%
2013-11-16T02:26:00c10ck3rManual testing50000010000000---0.100--3.956%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:11Mark RoseManual testing21260--0.067--
2009-01-15T22:48:00Sturle Sundegonsha.ifi260261--0.067--
2012-05-12T08:48:00Sebastian HornbostelManual testing261262--0.134--
2013-01-23T08:24:00dbaughManual testing262263--0.427--
2015-03-12T10:50:00VictordeHollanderManual testing263264--0.854--
2015-03-12T10:50:00VictordeHollanderManual testing264265--1.625--
2015-11-04T09:56:28ramgeisManual testing265266--3.251--
2017-05-27T13:18:47Gordon SpenceManual testing266267--6.502--
2019-03-18T11:45:41TJAOIManual testing267268--13.00--
2021-06-10T09:22:49TJAOIManual testing268269--26.01--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.892 GHz-days
Estimated T-Level:22.982
DigitsB1CurvesCompleteFacMiss
2011000167 / 1001.67018.667%
2550000167 / 2800.59655.019%

New Calculation Method

Total ECM effort:14.892 GHz-days
Estimated T-Level:22.982
DigitsB1CompleteFacMiss
20110005.4150.445%
25500000.48961.303%
302500000.03097.029%
3510000000.00199.862%


ECM Summary

B1B2factorcurvesGHz-days
50000500000014612.92
50000500000060.531
50000515000070.627
50000675000070.709
60000600000010.106


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computersFD40205CD20507D50.155
2018-04-30T06:58:33kkmrkkblmbrbkoldFD40205CD20507D50.155


PRP results:
dateuseridcompidcofactorsres64PRP
2021-09-20T22:39:11DrDerpenbergMain
157901836750271690509571687
E6CE3F63B38B97__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 90000, B2 = 1755000 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-09-20T22:39:11+00:00