is 2 275053 - 1
has 82800 decimal digits
takes 0.002 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
Actual267108.029871.6418 %100000010312187886055.678013.1374 %163.707875.3673 %
Target2440.000056.8182 %50006500000.000410.8104 %0.000461.4863 %
Difference+23+108.0298+14.8236 %+995000+103121228860+55.6776+2.3270%+163.7074+13.8810 %

Known prime factors (5 factors, 275.9 bits, 0.10031871% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27505326405089824.65448
24 × 3
-16168.210e-121.585e-73.226e-7
275053827503155695691446.234150426128
24 × 9401633
2014-02-061694016336.026e-50.00510.0095
2750531433113685217526791856.992260515916063
13 × 20039685851
2014-08-2813200396858510.049610.81820.205
27505312504204358398750296712270.0832273053622101695
32 × 5 × 50512302713371
2014-08-289505123027133711,616.827,26850,929
2750532953220924940655936571212477.967536845794254317520
24 × 5 × 7 × 67 × 71 × 201524743331
2014-08-2871201524743331155,119108.79203.19

26 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-01-03Lisander ViaeneManual testing100000100000
skipped known factor: 26405089
--0.00111.645%
2022-04-05JossManual testing1000000103121878860
skipped known factor: 26405089
skipped known factor: 82750315569569
skipped known factor: 143311368521752679
--57.9449.524%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2014-02-06TJAOIManual testing??
46.234
14


ECM factoring results:
Total ECM effort:46.650 GHz-days
Estimated T-Level:28.653
DigitsB1CompleteFacMiss
201100047.0050.000%
25500006.9020.101%
302500000.73148.163%
3510000000.06194.115%
4030000000.00499.591%


ECM Summary

B1B2factorcurvesGHz-days
10.007
10.007
10.007
5000050000002812.053
250000250000001907.007
25000034250000210.879
2500003653562070.295
250000235419030141.986
25000055133578511534.41


Lucas-Lehmer results:
No L-L results for M275053


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop3911AC5E33A3F3__
2017-10-13Oliver KruseThreadripper-PC
26405089
82750315569569
143311368521752679
1250420435839875029671
295322092494065593657121
27D8B2AB83C5A328
2017-10-13Oliver KruseThreadripper-PC
26405089
82750315569569
143311368521752679
1250420435839875029671
295322092494065593657121
3911AC5E33A3F392
2017-11-02kkmrkkblmbrbkc4.xlarge
26405089
82750315569569
143311368521752679
1250420435839875029671
295322092494065593657121
27D8B2AB83C5A328
2019-04-09kkmrkkblmbrbkc5.large
1250420435839875029671
143311368521752679
26405089
295322092494065593657121
82750315569569
3911AC5E33A3F392


CERT results:
No CERT results for M275053


P-1 factor-bounds graph:
B1 = 1000000, B2 = 103121878860 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=28.65 ~= 79-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00