is 2 6934723 - 1
has 2087560 decimal digits
takes 1.512 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD2D2D9C1DE419E07double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272137.905168.0556 %35000009616446840166.703011.2963 %304.608171.6641 %
Target2674.284865.6716 %4500045000000.09102.2371 %4.375866.4396 %
Difference+5+133.6203+2.3839 %+3455000+9611946840+166.6120+9.0593%+300.2323+5.2245 %

Known prime factors:
No known factors for M6934723

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-08-31ANONYMOUSv4_computers35000542500--0.0201.848%
2002-01-15ANONYMOUSv4_computers2500087500--0.0090.932%
2012-08-17NesowaEPC8500015087506--0.0512.886%
2019-04-30takahashivaio30000050000006--0.1764.529%
2021-06-02Dylan DelgadoManual testing6300001890000012--0.4786.339%
2023-07-24takahashivaio250000057175650--1.7328.539%
2023-08-11ThaZ-17035000009616446840--199.615.795%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-07-11ANONYMOUSv4_computers212620.044
2005-03-06David Campeauv4_computers212630.142
2014-02-09NesowaManual testing2632640.283
2014-02-16lycornManual testing2642650.539
2015-06-26VictordeHollanderManual testing2652661.078
2016-04-03Gordon SpenceManual testing2662672.155
2018-02-27ANONYMOUSManual testing2672684.310
2020-05-01TJAOIManual testing2682698.621
2021-07-24takahashiManual testing26927017.24
2021-08-11SRBaseManual testing27027134.48
2021-09-26SRBaseManual testing27127268.97


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)
1999-05-23ANONYMOUSv4_computersD2D2D9C1DE419E071.512
2002-02-03ANONYMOUSv4_computersB4C2971A4F4F47FF1.512
2002-04-28shaneamyv4_computersD2D2D9C1DE419E071.512
2002-06-29shaneamyv4_computersD2D2D9C1DE419E071.512


PRP results:
No PRP results for M6934723


CERT results:
No CERT results for M6934723


P-1 factor-bounds graph:
B1 = 3500000, B2 = 9616446840 (P-1 stage 2)
B1 = 2500000, B2 = 57175650 (P-1 stage 2)
B1 = 3500000 (P-1 stage 1)
B1 = 2500000 (P-1 stage 1)
B1 = 630000, B2 = 18900000 (P-1 stage 2)
B1 = 630000 (P-1 stage 1)
B1 = 300000, B2 = 5000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 85000, B2 = 1508750 (P-1 stage 2)
B1 = 85000 (P-1 stage 1)
B1 = 35000, B2 = 542500 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
B1 = 25000, B2 = 87500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
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105
106
107
103
104
105
106
107
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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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Last modified: 2024-03-13T02:15:48+00:00