is 2 7193861 - 1
has 2165568 decimal digits
takes 1.569 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L54F6CD276AFFBE58double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272132.937568.0556 %330000011508336840199.233611.4624 %332.171171.7172 %
Target2674.130565.6716 %4500050000000.09962.3102 %4.230066.4647 %
Difference+5+128.8070+2.3839 %+3255000+11503336840+199.1340+9.1523%+327.9411+5.2525 %

Known prime factors (1 factor, 99.6 bits, 0.00138429% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
71938619499621315535695570952665341833099.58466025888709384957333431
11 × 53 × 6991 × 1459411 × 11100148357
2023-01-271459411111001483571.872e+10191.65357.14

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-08-11Carsten Kossendeymother400006100004--0.0221.981%
2011-12-25James Heinrich3930K14000029400006--0.0923.668%
2022-06-04USAFSSUSAFSACS40100023128000--0.5186.270%
2023-01-27DRobinsonPE5500X33000001150833684023099.584238.616.010%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-06-28ANONYMOUSv4_computers212620.043
2005-09-03David Campeauv4_computers212630.136
2014-02-02NesowaManual testing2632640.273
2014-02-04lycornManual testing2642650.519
2015-06-21VictordeHollanderManual testing2652661.039
2016-10-28Gordon SpenceManual testing2662672.078
2018-07-31ramgeisManual testing2672684.155
2020-03-13TJAOIManual testing2682698.310
2021-08-19SRBaseManual testing26927016.62
2021-08-25SRBaseManual testing27027133.24
2021-09-28SRBaseManual testing27127266.48


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)
1999-08-16ANONYMOUSv4_computers54F6CD276AFFBE581.569
1999-08-22ANONYMOUSv4_computers54F6CD276AFFBE581.569


PRP results:
dateuseridcompidcofactorsres64
2023-02-01Perigbruinneall
949962131553569557095266534183
BC0F25C34EDFC511


CERT results:
dateuseridcompid
2023-02-01Steve Jacobsoni7S3500


P-1 factor-bounds graph:
B1 = 3300000, B2 = 11508336840 (P-1 stage 2)
B1 = 3300000 (P-1 stage 1)
B1 = 401000, B2 = 23128000 (P-1 stage 2)
B1 = 401000 (P-1 stage 1)
B1 = 140000, B2 = 2940000 (P-1 stage 2)
B1 = 140000 (P-1 stage 1)
B1 = 40000, B2 = 610000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
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
250
260
270
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290
2100
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Last modified: 2024-03-13T02:15:48+00:00