is 2 8144327 - 1
has 2451687 decimal digits
takes 2.127 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L52674D837FD5B02Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26914.658966.6667 %2200000194291691040.865611.5713 %55.524570.5238 %
Target2673.648465.6716 %5500065000000.15382.6236 %3.802266.5723 %
Difference+2+11.0105+0.9950 %+2145000+1936416910+40.7119+8.9477%+51.7223+3.9515 %

Known prime factors (1 factor, 69.8 bits, 0.00085677% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
814432710125678927225374370172269.77962164000335604
22 × 179 × 86821229519
2019-02-251798682122951914.6591,790.93,345.0

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-02-09ANONYMOUSv4_computers45000573750--0.0282.043%
2012-10-28NesowaEPC10000019750006--0.0773.237%
2023-05-27FlaukrotistColab_HLM222000001942916910--43.2613.335%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-11-14Baquarav4_computers212620.038
1998-11-21ANONYMOUSv4_computers212630.121
2013-08-27David CampeauManual testing2632640.241
2013-12-27David CampeauManual testing2642650.459
2015-05-27snme2pm1Manual testing2652660.918
2015-12-02snme2pm1Manual testing2662671.835
2018-07-05chuenkitManual testing2672683.670
2023-07-09FlaukrotistManual testing268269


ECM factoring results:
Total ECM effort:2.382 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191
50000500000031.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-11-15ANONYMOUSv4_computers52674D837FD5B02B2.127
2003-03-07ANONYMOUSv4_computers52674D837FD5B02B2.127


PRP results:
dateuseridcompidcofactorsres64
2019-03-08CuboxPhoenix
1012567892722537437017
08E0993958CC466C
2020-02-19oodairacom2
1012567892722537437017
08E0993958CC466C


CERT results:
No CERT results for M8144327


P-1 factor-bounds graph:
B1 = 2200000, B2 = 1942916910 (P-1 stage 2)
B1 = 2200000 (P-1 stage 1)
B1 = 100000, B2 = 1975000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 45000, B2 = 573750 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
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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Last modified: 2024-02-09T03:30:02+00:00