is 2 5210651 - 1
has 1568563 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-LD4C4A7A6B24A2895double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272183.534468.0556%25000002075000003.12996.7170%186.664370.2013%2.1457%
PrimeNet2620.117962.9032%220005000000.01103.0038%0.128964.0176%1.1143%
GPU722662.834365.1515%300006000000.01401.9879%2.848365.8443%0.6928%
Difference+6+180.7001+2.9040%+2470000+206900000+3.1159+4.7291%+183.8160+4.3570%+4.3570%

Known prime factors:
No known factors for M5,210,651

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-08-24T00:00:00ANONYMOUSv4_computers20000190000---0.007--0.512%
2009-10-22T21:33:00harleeP4_260060000975000---0.025--1.213%
2018-04-15T02:35:21Squeeky_SquirrelP4_2600310000922250012---0.182--2.965%
2021-08-25T21:10:18happy5214Manual testing2500000207500000---3.130--6.717%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-25T21:10:18happy5214Manual testing12500007875000027--1.383


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-12T00:00:00ANONYMOUSv4_computers?261--0.029--
1998-06-14T00:00:00ANONYMOUSv4_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--
2016-05-29T01:06:05Gordon SpenceManual testing266267--2.868--
2018-06-17T22:02:56ramgeisManual testing267268--5.737--
2020-12-08T10:40:00TJAOIManual testing268269--11.47--
2021-08-17T05:36:54SRBaseManual testing269270--22.95--
2021-08-23T16:30:11SRBaseManual testing270271--45.89--
2021-09-21T15:16:57SRBaseManual testing271272--91.78--


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)
1998-07-29T00:00:00ANONYMOUSv4_computersD4C4A7A6B24A28950.823
2000-09-08T00:00:00ANONYMOUSv4_computersD4C4A7A6B24A28950.823
2001-02-04T00:00:00ANONYMOUSv4_computersD4C4A7A6B24A28950.823


PRP results:
Exponent "5210651" not found


P-1 factor-bounds graph:
B1 = 2500000, B2 = 207500000 (P-1 stage 2)
B1 = 2500000 (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 = 190000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-09-21T15:16:57+00:00