is 2 6907309 - 1
has 2079308 decimal digits
takes 1.506 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LEB0DB82BC8CEA5D3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272138.452468.0556%40000004568186709.06528.0767%147.517670.6356%
Target2674.301865.6716%450009000000.02902.2356%4.330866.4391%
Difference+5+134.1506+2.3839%+3955000+455918670+9.0362+5.8411%+143.1868+4.1965%

Known prime factors:
No known factors for M6907309

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-08-24Team Prime Ribv4_computers35000472500---0.019--0.884%
2012-08-11NesowaEPC850001487500---0.051--1.558%
2018-03-15Squeeky_Squirreli5-5250U_16004050001225125012---0.332--3.404%
2021-11-17Seth_TrManual testing30000007500000012---2.189--5.980%
2021-11-30Seth_TrManual testing4000000456818670---9.065--8.077%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-05ANONYMOUSv4_computers21262--0.089--
2004-01-27Sturle Sundev4_computers21263--0.231--
2014-02-09NesowaManual testing263264--0.284--
2014-02-18lycornManual testing264265--0.541--
2015-06-21VictordeHollanderManual testing265266--1.082--
2016-04-01Gordon SpenceManual testing266267--2.164--
2018-05-23ramgeisManual testing267268--4.327--
2019-12-31mnd9Manual testing268269--8.655--
2020-12-21takahashiManual testing269270--17.31--
2021-08-12SRBaseManual testing270271--34.62--
2021-09-25SRBaseManual testing271272--69.24--


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)
1999-03-15ANONYMOUSv4_computers4BFD617198784D__1.506
1999-05-30Stephen Woodv4_computersEB0DB82BC8CEA5D31.506
2001-09-10Team Prime Ribv4_computersEB0DB82BC8CEA5D31.506


PRP results:
No PRP results for M6907309


P-1 factor-bounds graph:
B1 = 4000000, B2 = 456818670 (P-1 stage 2)
B1 = 3000000, B2 = 75000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 405000, B2 = 12251250 (P-1 stage 2)
B1 = 405000 (P-1 stage 1)
B1 = 85000, B2 = 1487500 (P-1 stage 2)
B1 = 85000 (P-1 stage 1)
B1 = 35000, B2 = 472500 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
103
104
105
106
107
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105
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107
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109
TF factor-bounds graph:
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271
270
269
268
267
266
265
264
263
262
this exponent TF target: 67
TF double-checked to: 67.8
ECM T-Level=1.15 ~= -13-bit
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Last modified: 2023-04-26T21:34:10+00:00