is 2 5209129 - 1
has 1568105 decimal digits
takes 0.823 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L455489CED1BCAB30double-checked
PRPA1EEA3B89A4485EB

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27191.777067.6056%80000004000000006.72228.7981%98.499270.4557%2.8501%
PrimeNet2620.117962.9032%220005000000.01103.0037%0.128964.0175%1.1143%
GPU722662.835165.1515%300005500000.01341.9430%2.848565.8286%0.6771%
Difference+5+88.9419+2.4541%+7970000+399450000+6.7088+6.8551%+95.6507+4.6271%+4.6271%

Known prime factors (1 factor, 122.3 bits, 0.00234710% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5209129638168703190790258251265709653179075337122.263612548377272659458281092395344
24 × 3 × 4801 × 57073 × 284059 × 6722593 × 24388853
2021-09-096722593243888533.575e+101.75973.1328

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers1500015000---0.003--0.141%
2009-10-12T15:04:00harleeP4_260060000975000---0.025--1.386%
2018-04-11T03:32:34Squeeky_SquirrelP4_2600310000922250012---0.182--3.295%
2021-09-09T01:45:07axnManual testing800000040000000037122.2636.7221.64513.448.798%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-05-23T00:00:00ANONYMOUSv4_computers?262--0.059--
2009-06-18T01:55:00GrunwalderGIMPManual testing262263--0.188--
2014-12-19T09:42:00VictordeHollanderManual testing263264--0.377--
2014-12-19T09:42:00VictordeHollanderManual testing264265--0.717--
2015-08-10T21:49:00snme2pm1Manual testing265266--1.435--
2016-05-29T01:06:04Gordon SpenceManual testing266267--2.869--
2018-06-17T22:02:56ramgeisManual testing267268--5.738--
2020-12-08T10:40:00TJAOIManual testing268269--11.48--
2021-08-18T05:59:20SRBaseManual testing269270--22.95--
2021-08-23T16:34:58SRBaseManual testing270271--45.91--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.161 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:2.161 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.29074.802%
25500000.02697.410%
302500000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.161


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-13T00:00:00ANONYMOUSv4_computers245AEE3EFE8472__0.823
2000-05-24T00:00:00ANONYMOUSv4_computers694CCA8C081370__0.823
2001-06-17T00:00:00ANONYMOUSv4_computers455489CED1BCAB300.823


PRP results:
dateuseridcompidcofactorsres64PRP
2021-09-15T04:19:38LaurVZero818
6381687031907902582512657096531790753
A1EEA3B89A4485EBno


P-1 factor-bounds graph:
B1 = 8000000, B2 = 400000000 (P-1 stage 2)
B1 = 8000000 (P-1 stage 1)
B1 = 310000, B2 = 9222500 (P-1 stage 2)
B1 = 310000 (P-1 stage 1)
B1 = 60000, B2 = 975000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-09-15T04:19:38+00:00