is 2 3391321 - 1
has 1020890 decimal digits
takes 0.356 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
Actual2698.761867.1642%115000010017961808.477710.8683%17.239470.7329%3.5687%
PrimeNet2600.045363.3333%140002800000.00432.8459%0.049664.3768%1.0435%
GPU722641.049565.6250%180003200000.00521.7912%1.054866.2407%0.6157%
Difference+5+7.7122+1.5392%+1132000+1001476180+8.4724+9.0771%+16.1847+4.4922%+4.4922%

Known prime factors (4 factors, 273.4 bits, 0.00806039% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33913219258488867920651431859.684136502691251
31 × 977 × 4506973
-97745069730.02420.03750.0698
3391321117266970748737030312063.3461728927617715
32 × 5 × 139 × 11483 × 24071
2017-01-3111483240710.51760.00190.0036
3391321744452922135900441772066.01310975854573128
23 × 1371981821641
2018-10-22813719818216414.705811,38421,261
3391321239923423540823031900009292684.3113537315157438989584
24 × 7 × 19 × 2351 × 29599 × 23887597
2022-01-0629599238875972,051,4670.20250.3702

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
33913211085714943251958453747369476418854843338123.030
33913216892509092286233748480022170643182231138125.696
339132187299739043922443153665095908686880048739129.359
33913212221328346006121603836776256357253599851784744143.994
339132128135093090298539900891614368214652656011579945147.657
3391321178611693743814991633029795432247444978104043346150.324
339132180826366211053379353906269081558020780927309336197
4124641
57189.043
339132126048844617444027106552676488844052332506055964194
1332431494257
63207.341
339132116536743782075637614020698361911373385162774219936
73747252926919
64210.007
339132120945252265638329461763998795431724502511732264530
545354645652423
65213.670
339132119392138493720227642029075291069018757864848133864
421804854252454773145178751791489
83273.354
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-10-03T23:38:18Jocelyn LaroucheManual testing33913233913216-
skipped known factor: 11726697074873703031
--0.077--3.844%
2022-01-06T19:15:59Jocelyn LaroucheManual testing11500001116423002684.3111.0920.7122.1848.258%
2022-03-21T14:12:56Jocelyn LaroucheManual testing11500001001796180-
skipped known factor: 925848886792065143
skipped known factor: 11726697074873703031
skipped known factor: 23992342354082303190000929
--8.478--10.868%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2022-04-24T18:52:26LordJuliusManual testing2126259.684180.0240.7240.049
2022-04-24T18:52:26LordJuliusManual testing262263--0.289--
2017-01-31T17:20:21TJAOIManual testing263264*63.346200.0470.7240.095
2022-04-24T18:52:26LordJuliusManual testing26326463.346200.0470.7240.095
2022-04-24T18:52:26LordJuliusManual testing264265--1.102--
2022-04-24T18:52:26LordJuliusManual testing265266--2.203--
2022-04-24T18:52:26LordJuliusManual testing26626766.013200.3510.7240.713
2021-09-08T10:59:09Jocelyn LaroucheManual testing267268--8.814--
2022-01-11T12:03:34Jocelyn LaroucheManual testing268269--17.63--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.586 GHz-days
Estimated T-Level:0.200
DigitsB1CurvesCompleteFacMiss
20110004 / 1000.04096.060%
25500004 / 2800.01498.579%

New Calculation Method

Total ECM effort:0.586 GHz-days
Estimated T-Level:0.200
DigitsB1CompleteFacMiss
20110000.12987.895%
25500000.01298.841%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.440
50000500000010.147


Lucas-Lehmer results:
No L-L results for M3391321


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-05T11:46:31kkmrkkblmbrbkc4.xlarge
925848886792065143
11726697074873703031
842C01C36E05EE__no
2017-11-21T00:57:50Oliver KruseThreadripper
925848886792065143
11726697074873703031
842C01C36E05EE__no
2018-10-22T17:02:28rucio
925848886792065143
11726697074873703031
74445292213590044177
842C01C36E05EE__no
2022-01-12T06:24:34LordJuliusWhiteBox
925848886792065143
11726697074873703031
74445292213590044177
23992342354082303190000929
842C01C36E05EE5Dno
2022-01-14T18:09:55GANLMS-11
925848886792065143
11726697074873703031
74445292213590044177
23992342354082303190000929
842C01C36E05EE5Dno


P-1 factor-bounds graph:
B1 = 1150000, B2 = 1001796180 (P-1 stage 2)
B1 = 1150000, B2 = 111642300 (P-1 stage 2)
B1 = 1150000 (P-1 stage 1)
B1 = 339132, B2 = 3391321 (P-1 stage 2)
B1 = 339132 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-24T18:52:26+00:00