is 2 1965851 - 1
has 591781 decimal digits
takes 0.107 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26715.115068.6567%----15.115068.6567%0.0000%
PrimeNet2580.019563.7931%80001400000.00122.4706%0.020764.6876%0.8945%
GPU722620.312566.1290%80001000000.00101.1954%0.313566.5339%0.4049%
Difference+5+14.8025+2.5277%-8000-100000-0.0010-1.1954%+14.8015+2.1228%+2.1228%

Known prime factors (4 factors, 160.4 bits, 0.00815945% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1965851141541273927.07736
22 × 32
-999.166e-127.080e-71.441e-6
19658511019726230731236.56925936
24 × 1621
2008-07-151616217.515e-98.137e-61.297e-5
196585150914164804311342.2111294965
32 × 5 × 7 × 4111
2008-07-15941113.861e-71.829e-53.294e-5
1965851262921815253521591754.5456687226429
13 × 514402033
2015-07-21135144020330.00202.20464.1176

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1965851144333348809015919292063.646
19658517206455700133833286632169.288
19658515191850936666506435844632478.781
196585137214288430454263581584072581.622
196585126810827164516299032937646072891.115
19658511338644463246614503736071005293096.757
19658517348611908020196973921417604139932105.857
196585137948386070486173943706633543712471136118.192
19658511894734414223275297990667461071363341738123.833
19658511365050872794054226328133188964013590561741133.326
1965851193211038245031502025514087279516034797403803044149160.403
P-1 results:
No P-1 results for M1965851


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T07:48:00J FeitsmaManual testing??36.569122.85862e-90.2366.33237e-9
2008-07-15T07:48:00J FeitsmaManual testing??42.211138.80569e-80.2361.95061e-7
2014-11-30T12:05:00TJAOIManual testing254255*54.545170.0010.2340.002


ECM factoring results:

Old Calculation Method

Total ECM effort:21.019 GHz-days
Estimated T-Level:24.589
DigitsB1CurvesCompleteFacMiss
2011000257 / 1002.5707.555%
2550000257 / 2800.91839.872%

New Calculation Method

Total ECM effort:21.019 GHz-days
Estimated T-Level:24.589
DigitsB1CompleteFacMiss
201100010.6040.002%
25500001.00236.699%
302500000.06493.809%
3510000000.00399.700%


ECM Summary

B1B2factorcurvesGHz-days
500005000000292.020
50000631316270.539
50000675000070.556
50000695000010.081
50000750000021317.82


Lucas-Lehmer results:
No L-L results for M1965851


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-05T09:23:53Oliver KruseGTX-2
141541273
101972623073
5091416480431
26292181525352159
FCA2A6B2DC514C2Cno
2017-10-05T21:33:53Oliver KruseManual testing
141541273
101972623073
5091416480431
26292181525352159
FCA2A6B2DC514C__no
2017-11-15T13:29:37kkmrkkblmbrbkc4.xlarge
141541273
101972623073
5091416480431
26292181525352159
FCA2A6B2DC514C__no


P-1 factor-bounds graph:
100
101
102
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
255
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-06-24T08:50:45+00:00