is 2 3388261 - 1
has 1019969 decimal digits
takes 0.356 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
Actual273564.550569.8630%2371782716649990280141.563412.3038%706.113973.5710%
Target2641.050565.6250%1800016000000.01591.7909%1.066466.2406%
Difference+9+563.5000+4.2380%+23699827+16648390280+141.5475+10.5129%+705.0475+7.3304%

Known prime factors (7 factors, 341.7 bits, 0.01008524% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
338826172576550631032.7571071
32 × 7 × 17
-9172.080e-101.437e-62.789e-6
3388261201872590391134.2332979
32 × 331
2008-09-0793311.111e-94.042e-65.194e-6
33882614677426545291238.76769024
25 × 3 × 719
2008-09-07327192.097e-81.057e-51.115e-5
33882615209968403893831548.88876882631
7 × 61 × 180053
2008-09-30611800531.397e-50.00150.0028
33882612490802379631139511857.78936756353475
33 × 52 × 23 × 167 × 14177
2015-07-16167141770.00940.00010.0002
338826158631888036472496091962.346865220950164
22 × 3 × 41 × 53 × 181 × 183319
2016-07-281811833190.45370.00150.0028
33882611409582775456343063372166.93420800976894288
24 × 25307 × 51371599
2019-06-1725307513715994.99650.42990.7961

120 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2019-08-27alpertronManual testing30000000100000000012-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--12.62--9.015%
2021-06-08Jocelyn LaroucheManual testing3557673737943496-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--1.125--5.157%
2021-08-04Jocelyn LaroucheManual testing3557673805708716-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--1.181--5.239%
2021-08-04Jocelyn LaroucheManual testing3557673839591326-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--1.209--5.277%
2021-08-04Jocelyn LaroucheManual testing3557673873473936-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--1.237--5.314%
2021-08-13Jocelyn LaroucheManual testing355767323717827012-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--2.480--6.254%
2021-09-16Jocelyn LaroucheManual testing355767335576740512-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--3.464--6.641%
2021-11-22Jocelyn LaroucheManual testing974593423717827012-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--3.371--6.798%
2021-12-17Jocelyn LaroucheManual testing9940000724077900-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--7.439--8.036%
2021-12-17Jocelyn LaroucheManual testing99400001431693900-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--13.31--8.791%
2021-12-17Jocelyn LaroucheManual testing99400002139309900-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--19.18--9.237%
2021-12-17Jocelyn LaroucheManual testing99400002846925900-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--25.05--9.555%
2021-12-17Jocelyn LaroucheManual testing99400003554541900-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--30.92--9.802%
2022-02-01Jocelyn LaroucheManual testing1000000010036460280-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--84.71--10.963%
2022-02-01Jocelyn LaroucheManual testing1000000011052583080-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--93.15--11.070%
2022-06-04Jocelyn LaroucheManual testing2371782716649990280-
skipped known factor: 7257655063
skipped known factor: 20187259039
skipped known factor: 467742654529
skipped known factor: 520996840389383
skipped known factor: 249080237963113951
skipped known factor: 5863188803647249609
skipped known factor: 140958277545634306337
--141.6--12.304%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-07Will EdgingtonManual testing??34.233114.35547e-101.7672.16323e-9
2008-09-07Will EdgingtonManual testing??38.767121.01619e-81.7675.04711e-8
2008-09-30markrManual testing??48.888152.90087e-61.7671.44076e-5
2015-07-16TJAOIManual testing257258*57.789180.0041.7560.019
2022-04-24LordJuliusManual testing2126234.233111.11102e-91.7675.51810e-9
2022-04-24LordJuliusManual testing2126257.789180.0091.7560.047
2022-04-24LordJuliusManual testing2126238.767122.09694e-81.7671.04149e-7
2022-04-24LordJuliusManual testing2126248.888151.39678e-51.7676.93730e-5
2022-04-24LordJuliusManual testing2126232.757102.08014e-101.7671.03315e-9
2016-07-28TJAOIManual testing262263*62.346190.2721.2960.992
2022-04-24LordJuliusManual testing26226362.346190.2721.2960.992
2022-04-24LordJuliusManual testing263264--0.579--
2022-04-24LordJuliusManual testing264265--1.103--
2021-01-20Jocelyn LaroucheManual testing265266--2.205--
2019-06-18Seth_TrManual testing26626766.934210.6380.7171.285
2021-01-20Jocelyn LaroucheManual testing266267
skipped known factors(?)
--4.411--
2021-01-20Jocelyn LaroucheManual testing267268--8.822--
2021-01-21Jocelyn LaroucheManual testing268269--17.64--
2021-01-21Jocelyn LaroucheManual testing269270--35.29--
2021-01-22Jocelyn LaroucheManual testing270271--70.58--
2021-02-13Jocelyn LaroucheManual testing271272--141.2--
2021-10-31Jocelyn LaroucheManual testing272273--282.3--


ECM factoring results:
Total ECM effort:0.439 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.439


Lucas-Lehmer results:
No L-L results for M3388261


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-05ATHec2-1xd
7257655063
20187259039
467742654529
520996840389383
249080237963113951
5863188803647249609
0D6FFE24E2D343__no
2017-11-21Oliver KruseGTX-3
7257655063
20187259039
467742654529
520996840389383
249080237963113951
5863188803647249609
0D6FFE24E2D343__no
2019-06-19Niels_Mache_NextcloudSuperDry-X
7257655063
20187259039
467742654529
520996840389383
249080237963113951
5863188803647249609
140958277545634306337
0D6FFE24E2D3439Eno


P-1 factor-bounds graph:
B1 = 23717827, B2 = 16649990280 (P-1 stage 2)
B1 = 10000000, B2 = 11052583080 (P-1 stage 2)
B1 = 10000000, B2 = 10036460280 (P-1 stage 2)
B1 = 9940000, B2 = 3554541900 (P-1 stage 2)
B1 = 9940000, B2 = 2846925900 (P-1 stage 2)
B1 = 9940000, B2 = 2139309900 (P-1 stage 2)
B1 = 9940000, B2 = 1431693900 (P-1 stage 2)
B1 = 30000000, B2 = 1000000000 (P-1 stage 2)
B1 = 9940000, B2 = 724077900 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 23717827 (P-1 stage 1)
B1 = 3557673, B2 = 355767405 (P-1 stage 2)
B1 = 9745934, B2 = 237178270 (P-1 stage 2)
B1 = 3557673, B2 = 237178270 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 9940000 (P-1 stage 1)
B1 = 9745934 (P-1 stage 1)
B1 = 3557673, B2 = 87347393 (P-1 stage 2)
B1 = 3557673, B2 = 83959132 (P-1 stage 2)
B1 = 3557673, B2 = 80570871 (P-1 stage 2)
B1 = 3557673, B2 = 73794349 (P-1 stage 2)
B1 = 3557673 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
264
263
262
258
2
this exponent TF target: 64
TF double-checked to: 67.9
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
Last modified: 2023-09-25T11:53:03+00:00