is 2 5210563 - 1
has 1568536 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-LD31D7DCBBAA66832double-checked
PRPC59AA8F9EADA8752

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27191.751867.6056%25000002075000003.12997.2950%94.881769.9688%2.3632%
PrimeNet2620.117962.9032%220005000000.01103.0038%0.128964.0175%1.1143%
GPU722662.834365.1515%300006000000.01401.9879%2.848365.8443%0.6928%
Difference+5+88.9174+2.4541%+2470000+206900000+3.1159+5.3071%+92.0334+4.1245%+4.1245%

Known prime factors (1 factor, 105.7 bits, 0.00202908% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
52105636711116575387338405823553792824732105.7266439915010515503224722121
25996360597 × 247723714497893
2021-08-25259963605972477237144978933.355e+103,096,0855,772,112

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-20T00:00:00WillametteMathv4_computers20000130000---0.006--0.522%
2009-10-22T21:02:00harleeP4_260060000975000---0.025--1.386%
2018-04-14T23:18:31Squeeky_SquirrelP4_2600310000922250012---0.182--3.295%
2021-08-25T06:54:31happy5214Manual testing2500000207500000---3.130--7.295%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-25T07:07:45happy5214Manual testing1250000125000027P+132105.7260.435
2021-08-28T11:47:01happy5214Manual testing12500007875000027--1.383


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-05T00:00:00ANONYMOUSv4_computers?261--0.029--
1998-07-05T00:00:00ANONYMOUSv4_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--
2015-08-10T23:25:00snme2pm1Manual testing265266--1.434--
2016-05-29T01:06:04Gordon SpenceManual testing266267--2.868--
2018-06-17T22:02:56ramgeisManual testing267268--5.737--
2020-12-08T10:40:00TJAOIManual testing268269--11.47--
2021-08-17T05:34:06SRBaseManual testing269270--22.95--
2021-08-25T14:54:33SRBaseManual testing270271--45.89--


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)
1998-09-06T00:00:00ANONYMOUSv4_computers9C8206BCD45CB9__0.823
2000-09-08T00:00:00ANONYMOUSv4_computersD31D7DCBBAA668320.823
2001-06-09T00:00:00WillametteMathv4_computersD31D7DCBBAA668320.823


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-25T07:42:35happy5214Manual testing
67111165753873384058235537928247
C59AA8F9EADA8752no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 207500000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 1250000 (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 = 20000, B2 = 130000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-08-28T11:47:01+00:00