is 2 3109333 - 1
has 936003 decimal digits
takes 0.265 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
Actual27076.849568.5714%395000010425284107.47069.6968%84.320171.6190%3.0476%
PrimeNet2600.049463.3333%130002400000.00312.6436%0.052564.3027%0.9693%
GPU722641.144765.6250%140002400000.00321.5080%1.148066.1434%0.5184%
Difference+6+75.7048+2.9464%+3936000+1042288410+7.4674+8.1888%+83.1722+5.4756%+5.4756%

Known prime factors (5 factors, 190.0 bits, 0.00610949% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
310933318655999824.1533
3
-137.193e-131.369e-72.512e-7
310933368405327826.02811
11
2008-09-071112.882e-121.906e-72.512e-7
3109333124373321926.89020
22 × 5
2008-09-07452.888e-125.004e-71.005e-6
3109333308078372626071444.8084954091
4954091
2008-09-30149540919.905e-70.03330.0622
31093333130882657822702921612168.08550346531841760
25 × 5 × 7 × 11 × 8719 × 468697
2019-12-07871946869731.9870.00420.0059

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
310933312761697121066731650.181
310933323203085522026791651.043
310933385077976930809671652.918
31093335747509811633589293932168.961
310933321074201821114167074892270.836
310933338316730331779817078472271.698
31093331587214652543208272710332477.071
310933358409743733457687882853238392892.238
3109333214169052006991101376587416472994.113
3109333389398273814716191557038366812994.975
3109333393160288100504079834980765112994.989
3109333714836882752953935636119241532995.852
31093332621068467916216879252925009693097.726
3109333964557234105203086312312037052372734112.893
310933339955376200733739802905134650769035336118.266
310933372646138068890714549719162141689931936119.128
3109333266369162535311984956538486331839968737121.003
3109333488986507163764741831256897278516303137121.879
310933317994778794909434673039407050937028038827342137.047
310933365980853009181969520602929020603670669372942138.921
3109333119965186500238571224111891236478643628736743139.784
31093334969382829889617856037197044468320124227231344145.156
31093331230938727758445814194398723205453059404150153027150163.074
31093332238070399383264284518460218795854339059068246463350163.937
31093338206257811164805042598164204619755945940200560400950165.811
310933315309593751883279170990630880322196230770443571463
86299991
58189.964
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2019-12-07T21:55:35Jocelyn LaroucheManual testing518205000002168.0850.0090.5290.0191.150%
2020-07-02T19:41:00Jocelyn LaroucheManual testing32500062186666-
skipped known factor: 18655999
skipped known factor: 68405327
skipped known factor: 124373321
skipped known factor: 30807837262607
skipped known factor: 313088265782270292161
--0.080--3.166%
2020-07-06T21:38:39Jocelyn LaroucheManual testing3250001554666512-
skipped known factor: 18655999
skipped known factor: 68405327
skipped known factor: 124373321
skipped known factor: 30807837262607
skipped known factor: 313088265782270292161
--0.142--3.813%
2021-08-12T01:52:31Jocelyn LaroucheManual testing31093333109333-
skipped known factor: 18655999
skipped known factor: 68405327
skipped known factor: 124373321
skipped known factor: 313088265782270292161
--0.384--3.087%
2021-08-12T14:17:51Jocelyn LaroucheManual testing31093333109333012-
skipped known factor: 18655999
skipped known factor: 68405327
skipped known factor: 124373321
skipped known factor: 30807837262607
skipped known factor: 313088265782270292161
--0.572--5.564%
2021-08-24T23:32:16Jocelyn LaroucheManual testing310933315546665012-
skipped known factor: 18655999
skipped known factor: 68405327
skipped known factor: 124373321
skipped known factor: 30807837262607
skipped known factor: 313088265782270292161
--1.408--7.344%
2021-12-21T06:44:13Jocelyn LaroucheManual testing3950000116747400-
skipped known factor: 18655999
skipped known factor: 68405327
skipped known factor: 124373321
skipped known factor: 30807837262607
skipped known factor: 313088265782270292161
--1.246--7.159%
2022-03-21T14:12:51Jocelyn LaroucheManual testing39500001042528410-
skipped known factor: 18655999
skipped known factor: 68405327
skipped known factor: 124373321
skipped known factor: 30807837262607
skipped known factor: 313088265782270292161
--7.471--9.697%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T14:46:00markrManual testing??44.808142.36724e-70.5875.24973e-7
2008-09-07T19:44:00Will EdgingtonManual testing??26.89091.24470e-140.5872.76033e-14
2008-09-07T19:44:00Will EdgingtonManual testing??26.02886.84584e-150.5871.51818e-14
2021-01-02T03:21:01Jocelyn LaroucheManual testing264265--1.202--
2021-01-20T09:17:48Jocelyn LaroucheManual testing265266--2.403--
2021-01-27T11:41:00Jocelyn LaroucheManual testing266267--4.807--
2021-01-27T19:43:21Jocelyn LaroucheManual testing267268--9.61--
2021-01-27T23:50:17Jocelyn LaroucheManual testing268269
skipped known factors(?)
--19.23--
2021-08-21T11:50:32Jocelyn LaroucheManual testing269270--38.45--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.351 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.351 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.09790.776%
25500000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.351


Lucas-Lehmer results:
No L-L results for M3109333


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-29T21:28:42Oliver KruseGTX-3
18655999
68405327
124373321
30807837262607
EA550843B4F68A__no
2017-12-11T21:16:08kkmrkkblmbrbkc4.xlarge
18655999
68405327
124373321
30807837262607
EA550843B4F68A__no
2019-12-07T22:12:11mrhx
18655999
68405327
124373321
30807837262607
313088265782270292161
EA550843B4F68AA1no


P-1 factor-bounds graph:
B1 = 3950000, B2 = 1042528410 (P-1 stage 2)
B1 = 3109333, B2 = 155466650 (P-1 stage 2)
B1 = 3950000, B2 = 116747400 (P-1 stage 2)
B1 = 3109333, B2 = 31093330 (P-1 stage 2)
B1 = 3950000 (P-1 stage 1)
B1 = 3109333 (P-1 stage 1)
B1 = 325000, B2 = 15546665 (P-1 stage 2)
B1 = 325000, B2 = 6218666 (P-1 stage 2)
B1 = 325000 (P-1 stage 1)
B1 = 51820, B2 = 500000 (P-1 stage 2)
B1 = 51820 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
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104
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109
1010
TF factor-bounds graph:
270
269
268
267
266
265
2
220
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240
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270
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2100
Last modified: 2022-03-21T14:12:51+00:00