is 2 6975209 - 1
has 2099748 decimal digits
takes 1.521 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LDDBA98B18BA7DB9Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272137.104768.0556%2000000580000001.59705.5227%138.701769.8198%1.7642%
PrimeNet2630.228863.4921%280007000000.02043.1641%0.249264.6472%1.1552%
GPU722674.259965.6716%450009000000.02902.2392%4.288966.4403%0.7687%
Difference+5+132.8447+2.3839%+1955000+57100000+1.5681+3.2835%+134.4128+3.3794%+0.9955%

Known prime factors:
No known factors for M6975209

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-09-15T00:00:00ANONYMOUSv4_computers75000806250---0.036--1.280%
2014-08-17T09:31:00Nesowanewfs43500011418750---0.327--3.396%
2021-11-05T09:33:17Seth_TrManual testing20000005800000012---1.597--5.523%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-11T00:00:00ANONYMOUSv4_computers21261--0.044--
1998-10-04T00:00:00ANONYMOUSv4_computers21262--0.088--
2000-04-05T00:00:00ANONYMOUSv4_computers21263--0.229--
2014-02-09T10:18:00NesowaManual testing263264--0.281--
2014-02-15T15:51:00lycornManual testing264265--0.536--
2015-07-03T01:16:00VictordeHollanderManual testing265266--1.071--
2016-04-26T14:24:09Gordon SpenceManual testing266267--2.143--
2018-02-26T00:49:29-Anonymous-Manual testing267268--4.285--
2020-04-24T07:20:54TJAOIManual testing268269--8.571--
2021-08-08T08:07:39takahashiManual testing269270--17.14--
2021-09-06T17:55:48SRBaseManual testing270271--34.28--
2021-09-25T07:01:01SRBaseManual testing271272--68.57--


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)
2000-09-23T00:00:00ANONYMOUSv4_computersDDBA98B18BA7DB9B1.521
2001-05-20T00:00:00Hoang Anh Vov4_computersDDBA98B18BA7DB9B1.521


PRP results:
No PRP results for M6975209


P-1 factor-bounds graph:
B1 = 2000000, B2 = 58000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 435000, B2 = 11418750 (P-1 stage 2)
B1 = 435000 (P-1 stage 1)
B1 = 75000, B2 = 806250 (P-1 stage 2)
B1 = 75000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-11-05T09:33:17+00:00