is 2 3325313 - 1
has 1001019 decimal digits
takes 0.349 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
Actual27071.858168.5714%4150000335398140028.426211.1698%100.284372.0819%3.5105%
PrimeNet2600.046263.3333%140002600000.00422.7822%0.050464.3535%1.0202%
GPU722641.070465.6250%170003000000.00491.7247%1.075366.2178%0.5928%
Difference+6+70.7877+2.9464%+4133000+3353681400+28.4213+9.4452%+99.2090+5.8641%+2.9177%

Known prime factors (5 factors, 210.4 bits, 0.00632630% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3325313239422537927.83536
22 × 32
-995.419e-121.371e-62.789e-6
3325313984292649929.875148
22 × 37
2008-09-074372.220e-118.830e-71.240e-6
332531313627930749131340.310204912
24 × 32 × 1423
2008-09-301614235.961e-81.411e-52.203e-5
3325313193228617929211444.1352905420
22 × 5 × 7 × 20753
2008-09-307207531.324e-60.00020.0003
33253133424760021023425986712168.21551495303164295
3 × 5 × 56099 × 61195747
2021-08-23560996119574719.3840.51580.9483

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
33253132356618431740305131857.709
33253133262833754017015142812168.145
332531313413872057449722145372270.184
332531346263285925615144605772271.970
3325313190193508204151005377292374.010
3325313263330622388937338460908732684.445
3325313819964732849601986169836483272996.050
33253133211583278988022225989568203693098.019
33253133370966113282443655514224694793098.089
3325313455366122551681476385314139847331101.845
332531346672392398896252256343919724062333108.524
3325313630472856821483783083384434620480134112.280
3325313661761645601568787149011341180799134112.350
33253132591943958740258411686974367989257735114.320
33253138070852589831120575627697160146724822338125.924
332531311174422596003256715005835604859335812055142136.359
332531345939292749477056809568983800240630308032742138.399
3325313158440652079222490199229292347279496209316743140.185
3325313620569798363415992961685853037959667280784943142.155
3325313651367123155767340058617530741891534075815943142.224
3325313901844187868848889095485164375691349763502978346152.660
332531310998902018065502364640131977965512918828280512959
9
51166.234
332531315595196914434526273857593792289916326725379312293
83
52170.059
332531321592182343826442429687269330069004408933223307164
19471
55180.495
332531388767860466268293762850230638354966986510387003029
65167
55182.534
332531321253026356895957815362878570470075702461561633117
18588905768679
64210.369
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-07-05T12:13:27Jocelyn LaroucheManual testing33253166506266-
skipped known factor: 239422537
skipped known factor: 984292649
skipped known factor: 1362793074913
skipped known factor: 19322861792921
--0.103--3.252%
2021-08-01T20:42:58Jocelyn LaroucheManual testing33253133325313-
skipped known factor: 239422537
skipped known factor: 984292649
skipped known factor: 1362793074913
skipped known factor: 19322861792921
--0.506--3.183%
2021-08-23T06:31:29Jocelyn LaroucheManual testing332531316626565012-
skipped known factor: 239422537
skipped known factor: 984292649
skipped known factor: 1362793074913
skipped known factor: 19322861792921
skipped known factor: 342476002102342598671
--1.858--7.512%
2021-12-21T06:47:36Jocelyn LaroucheManual testing4150000116770500-
skipped known factor: 239422537
skipped known factor: 984292649
skipped known factor: 1362793074913
skipped known factor: 19322861792921
skipped known factor: 342476002102342598671
--1.566--7.234%
2022-01-10T15:18:56Jocelyn LaroucheManual testing41500001038194850-
skipped known factor: 239422537
skipped known factor: 984292649
skipped known factor: 1362793074913
skipped known factor: 19322861792921
skipped known factor: 342476002102342598671
--9.212--9.792%
2022-07-19T15:43:14Jocelyn LaroucheManual testing41500003353981400-
skipped known factor: 239422537
skipped known factor: 984292649
skipped known factor: 1362793074913
skipped known factor: 19322861792921
skipped known factor: 342476002102342598671
--28.43--11.170%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T14:47:00markrManual testing??40.310131.55600e-80.7563.36788e-8
2008-09-30T14:47:00markrManual testing??44.135146.19348e-70.7561.34055e-6
2008-09-07T19:48:00Will EdgingtonManual testing??29.87596.89002e-130.7561.49131e-12
2021-01-30T13:27:07Jocelyn LaroucheManual testing265266--2.247--
2021-02-01T19:24:52Jocelyn LaroucheManual testing266267--4.494--
2021-02-02T08:10:39Jocelyn LaroucheManual testing267268--8.989--
2021-08-23T01:12:39Jocelyn LaroucheManual testing26826968.215211.4590.7102.965
2021-08-23T01:12:40Jocelyn LaroucheManual testing268269
skipped known factors(?)
--17.98--
2021-08-24T23:32:21Jocelyn LaroucheManual testing269270--35.96--


ECM factoring results:
Total ECM effort:0.438 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.438


Lucas-Lehmer results:
No L-L results for M3325313


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-04T04:58:17kkmrkkblmbrbkc4.xlarge
239422537
984292649
1362793074913
19322861792921
5E2027995B7853__no
2017-11-20T01:59:13Oliver KruseThreadripper
239422537
984292649
1362793074913
19322861792921
5E2027995B7853__no
2021-08-23T05:45:41SRJ2877LTOS
239422537
984292649
1362793074913
19322861792921
342476002102342598671
5E2027995B7853D8no


P-1 factor-bounds graph:
B1 = 4150000, B2 = 3353981400 (P-1 stage 2)
B1 = 4150000, B2 = 1038194850 (P-1 stage 2)
B1 = 3325313, B2 = 166265650 (P-1 stage 2)
B1 = 4150000, B2 = 116770500 (P-1 stage 2)
B1 = 4150000 (P-1 stage 1)
B1 = 3325313 (P-1 stage 1)
B1 = 332531, B2 = 6650626 (P-1 stage 2)
B1 = 332531 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
270
269
268
267
266
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-07-19T15:43:14+00:00