is 2 6902213 - 1
has 2077774 decimal digits
takes 1.505 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFEB3D85260989D06double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272138.554668.0556%1000000300000000.81574.5578%139.370469.5115%1.4560%
PrimeNet2630.231263.4921%280007000000.02043.1587%0.251764.6452%1.1532%
GPU722674.305065.6716%450009000000.02902.2353%4.333966.4390%0.7674%
Difference+5+134.2497+2.3839%+955000+29100000+0.7868+2.3224%+135.0364+3.0725%+3.0725%

Known prime factors:
No known factors for M6902213

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-11-24T00:00:00Team Prime Ribv4_computers35000542500---0.020--0.921%
2001-12-22T00:00:00Team Prime Ribv4_computers35000542500---0.020--0.921%
2012-08-10T09:15:00NesowaEPC850001487500---0.051--1.558%
2019-04-25T19:35:56takahashivaio30000050000006---0.176--2.681%
2021-05-08T22:59:00takahashivaio10000003000000012---0.816--4.558%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-21T00:00:00ANONYMOUSv4_computers21262--0.089--
2004-01-27T00:00:00Sturle Sundev4_computers21263--0.231--
2014-02-09T10:09:00NesowaManual testing263264--0.284--
2014-02-17T23:33:00lycornManual testing264265--0.541--
2015-06-21T19:55:00VictordeHollanderManual testing265266--1.083--
2016-03-31T14:38:48Gordon SpenceManual testing266267--2.165--
2018-02-27T00:21:26-Anonymous-Manual testing267268--4.331--
2019-11-25T20:10:57mnd9Manual testing268269--8.661--
2020-12-20T22:22:43takahashiManual testing269270--17.32--
2021-08-10T15:18:49SRBaseManual testing270271--34.65--
2021-09-25T06:59:43SRBaseManual testing271272--69.29--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.989 GHz-days
Estimated T-Level:0.300
DigitsB1CurvesCompleteFacMiss
20110006 / 1000.06094.148%
25500006 / 2800.02197.876%

New Calculation Method

Total ECM effort:1.989 GHz-days
Estimated T-Level:0.300
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00ANONYMOUSv4_computersFEB3D85260989D061.505
2001-11-24T00:00:00Team Prime Ribv4_computersFEB3D85260989D061.505
2001-12-22T00:00:00Team Prime Ribv4_computersFEB3D85260989D061.505


PRP results:
No PRP results for M6902213


P-1 factor-bounds graph:
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 300000, B2 = 5000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 85000, B2 = 1487500 (P-1 stage 2)
B1 = 85000 (P-1 stage 1)
B1 = 35000, B2 = 542500 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-09-25T06:59:43+00:00