is 2 6923321 - 1
has 2084128 decimal digits
takes 1.510 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9861CBF2A6594792double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272138.132268.0556%20000002588493605.05696.9782%143.189270.2847%2.2291%
PrimeNet2630.230563.4921%280007000000.02043.1603%0.251064.6458%1.1537%
GPU722674.291965.6716%450009000000.02902.2365%4.320866.4394%0.7677%
Difference+5+133.8404+2.3839%+1955000+257949360+5.0280+4.7417%+138.8683+3.8453%+1.4614%

Known prime factors:
No known factors for M6923321

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-10-20T00:00:00carlo_baffav4_computers3000030000---0.009--0.234%
2011-09-03T20:12:00Carsten Kossendeymother44000013420000---0.363--3.511%
2021-06-02T21:12:49Dylan DelgadoManual testing6300001890000012---0.514--3.947%
2021-12-07T18:41:10Seth_TrManual testing2000000258849360---5.057--6.978%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-21T00:00:00ANONYMOUSv4_computers21262--0.089--
1999-12-23T00:00:00delongv4_computers21263--0.231--
2014-02-09T10:09:00NesowaManual testing263264--0.284--
2014-02-17T08:57:00lycornManual testing264265--0.540--
2015-06-26T13:39:00VictordeHollanderManual testing265266--1.079--
2016-04-02T19:16:01Gordon SpenceManual testing266267--2.159--
2018-02-27T00:21:36-Anonymous-Manual testing267268--4.317--
2020-05-15T09:09:05TJAOIManual testing268269--8.635--
2021-07-19T22:38:28takahashiManual testing269270--17.27--
2021-08-17T05:40:20SRBaseManual testing270271--34.54--
2021-09-25T07:16:21SRBaseManual testing271272--69.08--


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-06-29T00:00:00ANONYMOUSv4_computers9861CBF2A65947921.510
2002-01-08T00:00:00carlo_baffav4_computers9861CBF2A65947921.510


PRP results:
No PRP results for M6923321


P-1 factor-bounds graph:
B1 = 2000000, B2 = 258849360 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 630000, B2 = 18900000 (P-1 stage 2)
B1 = 440000, B2 = 13420000 (P-1 stage 2)
B1 = 630000 (P-1 stage 1)
B1 = 440000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-07T18:41:10+00:00