is 2 10333 - 1
has 3111 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
Actual2672,875.633279.1045 %1000000000001201702623115394401,244,714.847940.3370 %1,247,590.481087.5331 %
Target2440.000268.1818 %500500000.00001.2766 %0.000268.5880 %
Difference+23+2,875.6329+10.9227 %+99999999500+120170262311489440+1,244,714.8479+39.0605%+1,247,590.4808+18.9451 %

Known prime factors (1 factor, 20.2 bits, 0.19589532% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
103331239961720.24260
22 × 3 × 5
-451.369e-117.708e-101.548e-9

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-07kkmrkkblmbrbkManual testing1000000001000000000012
skipped known factor: 1239961
---41.347%
2021-08-01ViliamF325000000040250000000
skipped known factor: 1239961
--0.46245.256%
2022-10-22ANONYMOUS2650v4100000000000120170262311539440
skipped known factor: 1239961
--500,00078.948%


Trial Factoring results:
5758596061626364656667
No TF results for M10333


ECM factoring results:
Total ECM effort:37.753 GHz-days
Estimated T-Level:40.562
DigitsB1CompleteFacMiss
20110001,039.2500.000%
2550000260.8420.000%
3025000050.5190.000%
3510000007.8690.038%
4030000001.01136.392%
45110000000.11289.363%
50440000000.01198.922%


ECM Summary

B1B2factorcurvesGHz-days
5000050000003550.044
2500002500000020.001
3500003500000060.005
4000004000000010.001
9500009500000050.012
10000001000000009692.414
30000003000000004,31035.23
10000000100000000020.050


Lucas-Lehmer results:
No L-L results for M10333


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
1239961
44BA485AEF169037
2017-09-21Oliver KruseManual testing
1239961
44BA485AEF169037
2017-10-12kkmrkkblmbrbkManual testing
1239961
44BA485AEF169037
2020-04-17Oliver KruseManual testing
1239961
CB064DE082C740BF


CERT results:
No CERT results for M10333


P-1 factor-bounds graph:
B1 = 100000000000, B2 = 120170262311539440 (P-1 stage 2)
B1 = 100000000000 (P-1 stage 1)
B1 = 250000000, B2 = 40250000000 (P-1 stage 2)
B1 = 100000000, B2 = 10000000000 (P-1 stage 2)
B1 = 250000000 (P-1 stage 1)
B1 = 100000000 (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=40.56 ~= 118-bit
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Last modified: 2024-03-13T02:15:48+00:00