is 2 6948947 - 1
has 2091842 decimal digits
takes 1.515 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2255C43535EAAE78double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272137.622868.0556 %4200000404661411070.964210.5328 %208.587071.4202 %
Target2674.276065.6716 %4500045000000.09102.2378 %4.367066.4399 %
Difference+5+133.3468+2.3839 %+4155000+4042114110+70.8732+8.2950%+204.2200+4.9804 %

Known prime factors:
No known factors for M6948947

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-09-10ANONYMOUSv4_computers30000270000--0.0141.454%
2011-12-09James HeinrichQ660013000028275006--0.0883.578%
2020-01-20takahashivaio6000001200000012--0.3865.807%
2021-12-07Seth_TrManual testing2000000258849360--6.05510.415%
2023-11-26Sid & AndyPterodactyl42000004046614110--74.4714.819%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-09-06ANONYMOUSv4_computers212620.044
2005-03-20David Campeauv4_computers212630.141
2014-02-09NesowaManual testing2632640.283
2014-02-16lycornManual testing2642650.538
2015-06-26VictordeHollanderManual testing2652661.075
2016-04-05Gordon SpenceManual testing2662672.151
2018-02-26ANONYMOUSManual testing2672684.302
2020-04-10TJAOIManual testing2682698.603
2021-07-31takahashiManual testing26927017.21
2021-08-11SRBaseManual testing27027134.41
2021-09-25SRBaseManual testing27127268.82


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_computers084A443E383262571.515
1999-12-15ANONYMOUSv4_computers2255C43535EAAE781.515
2001-09-22ANONYMOUSv4_computers2255C43535EAAE781.515


PRP results:
No PRP results for M6948947


CERT results:
No CERT results for M6948947


P-1 factor-bounds graph:
B1 = 4200000, B2 = 4046614110 (P-1 stage 2)
B1 = 2000000, B2 = 258849360 (P-1 stage 2)
B1 = 4200000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 600000, B2 = 12000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 130000, B2 = 2827500 (P-1 stage 2)
B1 = 130000 (P-1 stage 1)
B1 = 30000, B2 = 270000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
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270
280
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Last modified: 2024-03-13T02:15:48+00:00