is 2 3186367 - 1
has 959193 decimal digits
takes 0.271 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
Actual27074.991668.5714%4000000319349415021.939111.0358%96.930772.0398%
Target2641.117065.6250%150002600000.00351.5835%1.120566.1693%
Difference+6+73.8745+2.9464%+3985000+3193234150+21.9356+9.4523%+95.8101+5.8705%

Known prime factors (5 factors, 209.8 bits, 0.00658321% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
318636750981873825.6038
23
-881.405e-129.873e-72.009e-6
318636739001132091031.861612
22 × 32 × 17
2008-09-079171.017e-101.164e-62.260e-6
318636768634345191032.6761077
3 × 359
2008-09-0733592.214e-102.764e-64.514e-6
3186367512960038461990711755.5108049293105
5 × 7 × 83 × 2770841
2015-07-218327708410.00190.01860.0348
3186367199762225228293459592064.1153134639312237
3134639312237
2017-07-20131346393122371.852321,07739,365

26 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-06-29Jocelyn LaroucheManual testing4142193186367012-
skipped known factor: 50981873
skipped known factor: 3900113209
skipped known factor: 6863434519
skipped known factor: 51296003846199071
--0.263--4.519%
2021-08-05Jocelyn LaroucheManual testing31863673186367-
skipped known factor: 50981873
skipped known factor: 3900113209
skipped known factor: 6863434519
skipped known factor: 51296003846199071
--0.393--3.122%
2021-08-11Jocelyn LaroucheManual testing31863673186367012-
skipped known factor: 50981873
skipped known factor: 3900113209
skipped known factor: 6863434519
skipped known factor: 51296003846199071
--0.586--5.615%
2021-08-20Jocelyn LaroucheManual testing318636715931835012-
skipped known factor: 50981873
skipped known factor: 3900113209
skipped known factor: 6863434519
skipped known factor: 51296003846199071
--1.443--7.405%
2021-12-21Jocelyn LaroucheManual testing4000000116758950-
skipped known factor: 50981873
skipped known factor: 3900113209
skipped known factor: 6863434519
skipped known factor: 51296003846199071
--1.252--7.184%
2022-01-10Jocelyn LaroucheManual testing40000001038178680-
skipped known factor: 50981873
skipped known factor: 3900113209
skipped known factor: 6863434519
skipped known factor: 51296003846199071
--7.447--9.724%
2022-07-20Jocelyn LaroucheManual testing40000003193494150-
skipped known factor: 50981873
skipped known factor: 3900113209
skipped known factor: 6863434519
skipped known factor: 51296003846199071
--21.94--11.036%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-07Will EdgingtonManual testing??31.861101.18934e-110.5992.62607e-11
2008-09-07Will EdgingtonManual testing??32.676104.18602e-110.5999.24275e-11
2015-01-29TJAOIManual testing255256*55.510170.0000.5960.001
2022-04-02LordJuliusManual testing2126258.280180.0160.5750.034
2022-04-02LordJuliusManual testing2126231.861101.01677e-100.5992.24504e-10
2022-04-02LordJuliusManual testing2126225.60381.40530e-120.5993.10291e-12
2022-04-02LordJuliusManual testing2126255.510170.0020.5960.004
2022-04-02LordJuliusManual testing2126232.676102.21428e-100.5994.88913e-10
2022-04-02LordJuliusManual testing2126257.464180.0120.5870.025
2022-04-02LordJuliusManual testing262263--0.308--
2022-04-02LordJuliusManual testing263264--0.616--
2017-07-20TJAOIManual testing264265*64.115200.7350.5511.493
2021-01-02Jocelyn LaroucheManual testing264265
skipped known factors(?)
--1.173--
2022-12-09LordJuliusManual testing264265
skipped known factors(?)
--1.173--
2022-12-09LordJuliusManual testing26426564.115200.7350.5511.493
2021-01-15Jocelyn LaroucheManual testing265266--2.345--
2021-01-20Jocelyn LaroucheManual testing266267--4.690--
2021-01-24Jocelyn LaroucheManual testing267268--9.381--
2021-01-25Jocelyn LaroucheManual testing268269--18.76--
2021-08-19Jocelyn LaroucheManual testing269270--37.52--


ECM factoring results:
Total ECM effort:0.352 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.352


Lucas-Lehmer results:
No L-L results for M3186367


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28alpertronManual testing
50981873
3900113209
6863434519
51296003846199071
19976222522829345959
3345AD19821E10__no
2017-11-18Oliver KruseThreadripper
50981873
3900113209
6863434519
51296003846199071
19976222522829345959
3345AD19821E10__no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 3193494150 (P-1 stage 2)
B1 = 4000000, B2 = 1038178680 (P-1 stage 2)
B1 = 3186367, B2 = 159318350 (P-1 stage 2)
B1 = 4000000, B2 = 116758950 (P-1 stage 2)
B1 = 3186367, B2 = 31863670 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 3186367 (P-1 stage 1)
B1 = 414219, B2 = 31863670 (P-1 stage 2)
B1 = 414219 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-12-09T05:43:28+00:00