is 2 5073389 - 1
has 1527243 decimal digits
takes 0.703 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB3C757CD79C7178Edouble-checked
PRP424FA19555CFC535verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272188.500068.0556%1500000450000000.77784.9541%189.277869.6381%1.5826%
PrimeNet2610.060562.2951%220005000000.00973.4065%0.070263.5795%1.2844%
GPU722651.438064.6154%340007000000.01412.4219%1.452265.4724%0.8570%
Difference+7+187.0619+3.4402%+1466000+44300000+0.7637+2.5321%+187.8256+4.1657%+4.1657%

Known prime factors (1 factor, 82.9 bits, 0.00163491% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
507338993126903419474833584215692582.945917797781911409056
25 × 7 × 42853 × 95613178223
2021-11-064285395613178223201,2501,047.01,955.5

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-15T05:35:00harleeP4_2600600001065000---0.023--1.237%
2017-07-09T11:09:02mikrS06315000004500000012---0.778--4.954%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-11-06T09:05:41ATH5960X25000008750000027P+12582.9451.676


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:39:08Mark RoseManual testing21261--0.061--
2008-12-28T05:41:00Sturle Sundebakeng.ifi261262--0.061--
2009-08-08T04:06:00GrunwalderGIMPManual testing21263--0.315--
2016-02-23T16:39:08Mark RoseManual testing262263--0.193--
2014-09-01T13:55:00krackerManual testing263264--0.387--
2014-09-15T10:35:00monstManual testing264265--0.736--
2015-08-02T21:34:00snme2pm1Manual testing265266--1.473--
2016-05-23T01:08:41Gordon SpenceManual testing266267--2.946--
2018-06-11T12:29:32ramgeisManual testing267268--5.892--
2021-01-18T12:08:09TJAOIManual testing268269--11.78--
2021-03-31T18:48:12-Anonymous-Manual testing269270--23.57--
2021-03-31T18:48:13-Anonymous-Manual testing270271--47.13--
2021-04-02T16:27:58-Anonymous-Manual testing271272--94.27--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.897 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.897 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.29074.802%
25500000.02697.410%
302500000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.897


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-07-11T00:00:00ANONYMOUSv4_computersB3C757CD79C7178E0.703
2000-09-15T00:00:00ANONYMOUSv4_computersB3C757CD79C7178E0.703
2006-02-01T00:00:00ANONYMOUSv4_computersB3C757CD79C7178E0.703


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-06T12:15:15ATHec2-PRPCF
9312690341947483358421569
424FA19555CFC535no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 87500000 (P+1 stage 2)
B1 = 1500000, B2 = 45000000 (P-1 stage 2)
B1 = 2500000 (P+1 stage 1)
B1 = 1500000 (P-1 stage 1)
B1 = 60000, B2 = 1065000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-11-06T12:15:15+00:00