is 2 3005339 - 1
has 904698 decimal digits
takes 0.256 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
Actual26939.724968.1159%3005339303370221020.748611.4365%60.473571.7624%3.6464%
PrimeNet2600.051163.3333%120002200000.00292.5159%0.054064.2558%0.9225%
GPU722641.184365.6250%130002000000.00291.3874%1.187266.1019%0.4769%
Difference+5+38.5406+2.4909%+2992339+3033502210+20.7458+10.0491%+59.2863+5.6604%+3.1695%

Known prime factors (3 factors, 258.7 bits, 0.00860736% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
30053396010679722.5191
1
-111.860e-131.234e-72.512e-7
300533955687375543960106962784316397569733108.77992647411064043202718203032
23 × 32 × 17 × 109 × 113 × 199 × 1049 × 26267 × 1120747787
2022-07-172626711207477875.636e+107.538714.075
300533922175504235055442744324200490105436296939127.38236893515565224826124979911567556
22 × 41 × 269 × 7841 × 22367 × 48847 × 1600889 × 60978341
2021-12-181600889609783414.307e+100.59680.7658

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3005339334718938747194591758961472100227846826340131.298
3005339133289837620058813539011841077666453735614595146149.901
300533912348956322142102415486461110664744483181468230791
4781598351069732764393
72236.161
300533974225612437416770004613746582189255705424704283985
4911542795209470262548952847
78258.680
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-09-07T14:32:34Jocelyn LaroucheManual testing47084660106786-
skipped known factor: 6010679
--0.095--3.644%
2021-09-20T00:40:14Jocelyn LaroucheManual testing30053393005339012-
skipped known factor: 6010679
--0.553--5.991%
2021-12-16T06:17:39Jocelyn LaroucheManual testing300533933058729-
skipped known factor: 6010679
--0.573--6.102%
2021-12-16T13:28:19Jocelyn LaroucheManual testing300533936064068-
skipped known factor: 6010679
--0.593--6.203%
2021-12-18T06:34:01Jocelyn LaroucheManual testing300533913712160039127.3821.2730.5122.5457.768%
2022-07-16T17:20:54Jocelyn LaroucheManual testing3005339303370221033108.77920.750.51241.5011.437%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2021-01-16T21:12:28Jocelyn LaroucheManual testing265266--2.486--
2021-02-21T11:36:41Jocelyn LaroucheManual testing266267--4.973--
2021-03-05T06:43:14Jocelyn LaroucheManual testing267268--9.95--
2021-11-25T20:27:28Jocelyn LaroucheManual testing268269--19.89--


ECM factoring results:
Total ECM effort:0.349 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.349


Lucas-Lehmer results:
No L-L results for M3005339


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-27T07:50:33Oliver KruseGTX-1
6010679
CBF71A14415EE1__no
2017-12-10T09:12:44kkmrkkblmbrbkc4.xlarge
6010679
CBF71A14415EE1__no
2021-12-25T10:53:18GANLMS-11
6010679
221755042350554427443242004901054362969
CBF71A14415EE1C4no
2022-07-18T16:20:32Wentao HuangBiolake
6010679
556873755439601069627843163975697
221755042350554427443242004901054362969
CBF71A14415EE1C4no


P-1 factor-bounds graph:
B1 = 3005339, B2 = 3033702210 (P-1 stage 2)
B1 = 3005339, B2 = 137121600 (P-1 stage 2)
B1 = 3005339, B2 = 36064068 (P-1 stage 2)
B1 = 3005339, B2 = 33058729 (P-1 stage 2)
B1 = 3005339, B2 = 30053390 (P-1 stage 2)
B1 = 3005339 (P-1 stage 1)
B1 = 470846, B2 = 6010678 (P-1 stage 2)
B1 = 470846 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
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109
1010
TF factor-bounds graph:
269
268
267
266
220
230
240
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2022-07-18T16:20:32+00:00