is 2 3911 - 1
has 1178 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2677,597.524382.0896 %670000000006748046996460669902,649,194.092740.9983 %2,656,791.617089.4325 %
Target2440.000672.7273 %500500000.00000.9427 %0.000672.9844 %
Difference+23+7,597.5237+9.3623 %+66999999500+674804699646016990+2,649,194.0927+40.0556%+2,656,791.6164+16.4482 %

Known prime factors (7 factors, 674.4 bits, 17.24266224% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
39117823412.9341
1
-111.395e-137.206e-111.466e-10
391149997979468948891652.151639196873804
22 × 159799218451
-41597992184510.25910.62731.1717
39111607545893715135191857.15820551596697969
127 × 149 × 2273 × 477811
-22734778118.21232.031e-63.504e-6
3911363214584531834267811032374.9434643500185781568241
3 × 13 × 19 × 6266531964617501
-1962665319646175011,706,85824,60245,949
391116625425435192796551786393576077309525739126.96721254698843253383471984650442440948
22 × 3 × 19 × 93222363347602559087651975624741
-19932223633476025590876519756247414.600e+133.660e+206.835e+20
3911380791722555543149556241301891916038142577276946151.416486821430012200395750755947189869647331344
24 × 3 × 10142113125254174911474082233122284319403
2009-07-1016101421131252541749114740822331222843194034.677e+133.982e+287.437e+28
391169603618317857178370967017498434219749226948260642
5638707769
60198.79388984426384373789786457450138627230566641457760985
123844

22 × 22246106596093447446614362534656807641660364440246280961
2020-04-224222461065960934474466143625346568076416603644402462809614.328e+138.734e+431.631e+44

120 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-09-09Jinyuan WangManual testing13000000001300000000012
skipped known factor: 7823
skipped known factor: 160754589371513519
--0.14039.702%
2023-05-15JacobZGreatLakes67000000000674804699646066990
skipped known factor: 7823
skipped known factor: 4999797946894889
skipped known factor: 160754589371513519
skipped known factor: 36321458453183426781103
--3,377,76080.386%


Trial Factoring results:
5758596061626364656667
No TF results for M3911


ECM factoring results:
Total ECM effort:34,466.328 GHz-days
Estimated T-Level:51.182
DigitsB1CompleteFacMiss
20110002,150.4330.000%
25500001,003.6380.000%
30250000322.0200.000%
35100000096.6070.000%
40300000024.6270.000%
45110000005.7510.318%
50440000001.21929.556%
551100000000.23678.953%
602600000000.04295.862%
658000000000.00799.306%
7024000000000.00199.894%


ECM Summary

B1B2factorcurvesGHz-days
10.457
30000003000000001,3683.875
1100000011000000003,25337.00
4400000044000000001004.154
1100000001100000000030033.20
26000000026000000010.183
2600000002600000000010024.55
26000000060836419944301,66034,363


Lucas-Lehmer results:
No L-L results for M3911


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PCCFFEC70A8CD769__
2017-10-02kkmrkkblmbrbkManual testing
7823
4999797946894889
160754589371513519
36321458453183426781103
166254254351927965517863935760773095257
3807917225555431495562413018919160381425772769
CFFEC70A8CD76932
2017-12-07ATHManual testing
7823
4999797946894889
160754589371513519
36321458453183426781103
166254254351927965517863935760773095257
3807917225555431495562413018919160381425772769
CFFEC70A8CD76932
2020-04-17Oliver KruseIOS-1
7823
4999797946894889
160754589371513519
36321458453183426781103
166254254351927965517863935760773095257
3807917225555431495562413018919160381425772769
D1758C697262371D
2020-04-22M Millercruncher
7823
4999797946894889
160754589371513519
36321458453183426781103
166254254351927965517863935760773095257
3807917225555431495562413018919160381425772769
69603618317857178370967017498434219749226948260642
5638707769
D1758C697262371D
2022-05-12Jorge CoveiroManual testing
7823
D1758C697262371D


CERT results:
No CERT results for M3911


P-1 factor-bounds graph:
B1 = 67000000000, B2 = 674804699646066990 (P-1 stage 2)
B1 = 67000000000 (P-1 stage 1)
B1 = 1300000000, B2 = 13000000000 (P-1 stage 2)
B1 = 1300000000 (P-1 stage 1)
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=51.18 ~= 153-bit
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Last modified: 2024-03-13T02:15:48+00:00