is 2 2062351 - 1
has 620830 decimal digits
takes 0.136 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L34958443DAC159CEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26957.888769.5652%132537152211018209401,149.652917.9831%1,207.541675.0383%5.4731%
PrimeNet2580.018663.7931%90001600000.00162.6687%0.020364.7593%0.9662%
GPU722620.297966.1290%90001300000.00151.3653%0.299466.5915%0.4624%
Difference+7+57.5908+3.4362%+13244715+221101690940+1,149.6514+16.6178%+1,207.2422+8.4469%+8.4469%

Known prime factors:
No known factors for M2062351

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.179%
2009-06-22T00:07:00harleeT7500_220020000260000---0.003--0.750%
2010-12-26T02:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.296%
2011-01-06T01:06:00Jocelyn LaroucheManual testing5000050000---0.005--0.435%
2011-01-21T13:08:00James Heinrichi7-9201350002902500---0.027--2.421%
2014-10-28T23:25:00Jocelyn LaroucheManual testing166122166122---0.016--0.925%
2016-06-26T11:04:16Jocelyn LaroucheManual testing182734580500012---0.047--2.989%
2016-09-29T01:45:04Jocelyn Larouchelow 4M1827341393200012---0.089--3.554%
2016-11-04T00:18:42Jocelyn Larouchelow 4M219280219280---0.021--1.074%
2016-11-04T12:39:36Jocelyn Larouchelow 4M263136263136---0.025--1.180%
2016-11-07T03:11:26Jocelyn Larouchelow 4M315763315763---0.030--1.293%
2017-02-23T10:19:47mikrMSI250000012500000012---0.875--7.260%
2022-04-23T13:45:20Ryan PropperManual testing13253715221101820940---1,150--17.983%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.019--
1999-04-13T00:00:00ANONYMOUSv4_computers21258--0.019--
2016-02-23T16:29:04Mark RoseManual testing258260--0.056--
2009-01-02T20:30:00Sturle Sundegowin.ifi260261--0.074--
2012-03-13T20:44:00Sebastian HornbostelManual testing261262--0.149--
2013-09-01T20:20:00ramgeisManual testing262263--0.476--
2015-03-28T18:03:00VictordeHollanderManual testing263264--0.952--
2015-03-28T18:03:00VictordeHollanderManual testing264265--1.812--
2015-11-03T10:10:02ramgeisManual testing265266--3.623--
2016-08-29T15:06:17Gordon SpenceManual testing266267--7.247--
2019-03-25T04:48:55chuenkitManual testing267268--14.49--
2021-08-26T09:33:40TJAOIManual testing268269--28.99--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.573 GHz-days
Estimated T-Level:23.589
DigitsB1CurvesCompleteFacMiss
2011000201 / 1002.01013.264%
2550000201 / 2800.71848.717%

New Calculation Method

Total ECM effort:17.573 GHz-days
Estimated T-Level:23.589
DigitsB1CompleteFacMiss
20110007.8010.041%
25500000.72248.595%
302500000.04695.545%
3510000000.00299.787%


ECM Summary

B1B2factorcurvesGHz-days
500005000070.355
50000500000020016.98
766202325961010.238


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-31T00:00:00ANONYMOUSv4_computers648A19A1523022__0.136
1999-09-07T00:00:00ANONYMOUSv4_computers648A19A1523022__0.136
1999-09-14T00:00:00ANONYMOUSv4_computers648A19A1523022__0.136
1999-11-10T00:00:00ANONYMOUSv4_computers34958443DAC159CE0.136
2016-08-31T06:57:54Mark Rosegenio34958443DAC159CE0.136


PRP results:
No PRP results for M2062351


P-1 factor-bounds graph:
B1 = 13253715, B2 = 221101820940 (P-1 stage 2)
B1 = 13253715 (P-1 stage 1)
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 182734, B2 = 13932000 (P-1 stage 2)
B1 = 182734, B2 = 5805000 (P-1 stage 2)
B1 = 315763 (P-1 stage 1)
B1 = 135000, B2 = 2902500 (P-1 stage 2)
B1 = 263136 (P-1 stage 1)
B1 = 219280 (P-1 stage 1)
B1 = 182734 (P-1 stage 1)
B1 = 166122 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (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: 2022-04-23T13:45:20+00:00