is 2 3418073 - 1
has 1028943 decimal digits
takes 0.359 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
Actual272279.787469.4444%2050843812354931050105.464312.6164%385.251773.2995%
Target2641.041365.6250%190003200000.00541.8210%1.046766.2510%
Difference+8+278.7460+3.8194%+20489438+12354611050+105.4589+10.7954%+384.2050+7.0485%

Known prime factors (6 factors, 260.9 bits, 0.00763348% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
341807354347360711032.340795
3 × 5 × 53
-5531.962e-101.160e-61.550e-6
3418073327588116331134.9314792
23 × 599
2008-09-0785996.945e-106.122e-69.290e-6
34180731122221727371236.70816416
25 × 33 × 19
2008-09-0732324.160e-94.873e-69.918e-6
341807356332030606731342.357824032
25 × 11 × 2341
2013-12-173223412.334e-72.403e-53.627e-5
3418073297392039100491444.7574350288
24 × 3 × 90631
2008-09-3016906311.111e-60.00080.0014
341807310459108291587998437132269.825152997146222272
26 × 11 × 103 × 6569 × 321199
2019-08-12656932119937.5930.00360.0050

57 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2019-08-12Jocelyn LaroucheManual testing324710341807302269.8250.0490.7180.0993.627%
2020-04-21Jocelyn LaroucheManual testing7520043418073012-
skipped known factor: 5434736071
skipped known factor: 32758811633
skipped known factor: 112222172737
skipped known factor: 5633203060673
skipped known factor: 29739203910049
skipped known factor: 1045910829158799843713
--0.392--4.144%
2021-08-04Jocelyn LaroucheManual testing34180733418073-
skipped known factor: 5434736071
skipped known factor: 32758811633
skipped known factor: 112222172737
skipped known factor: 5633203060673
skipped known factor: 29739203910049
skipped known factor: 1045910829158799843713
--0.521--2.645%
2021-08-10Jocelyn LaroucheManual testing34180733418073012-
skipped known factor: 5434736071
skipped known factor: 32758811633
skipped known factor: 112222172737
skipped known factor: 5633203060673
skipped known factor: 29739203910049
skipped known factor: 1045910829158799843713
--0.776--4.846%
2021-08-14Jocelyn LaroucheManual testing341807320508438012-
skipped known factor: 5434736071
skipped known factor: 32758811633
skipped known factor: 112222172737
skipped known factor: 5633203060673
skipped known factor: 29739203910049
skipped known factor: 1045910829158799843713
--2.194--6.621%
2021-12-17Jocelyn LaroucheManual testing4380000621034050-
skipped known factor: 5434736071
skipped known factor: 32758811633
skipped known factor: 112222172737
skipped known factor: 5633203060673
skipped known factor: 29739203910049
skipped known factor: 1045910829158799843713
--5.784--7.936%
2022-01-10Jocelyn LaroucheManual testing43800001042764450-
skipped known factor: 5434736071
skipped known factor: 32758811633
skipped known factor: 112222172737
skipped known factor: 5633203060673
skipped known factor: 29739203910049
skipped known factor: 1045910829158799843713
--9.283--8.486%
2022-02-12Jocelyn LaroucheManual testing5000000141372000-
skipped known factor: 5434736071
skipped known factor: 32758811633
skipped known factor: 112222172737
skipped known factor: 5633203060673
skipped known factor: 29739203910049
skipped known factor: 1045910829158799843713
--1.893--6.451%
2022-03-19Jocelyn LaroucheManual testing50000001002168090-
skipped known factor: 5434736071
skipped known factor: 32758811633
skipped known factor: 112222172737
skipped known factor: 5633203060673
skipped known factor: 29739203910049
skipped known factor: 1045910829158799843713
--9.035--8.548%
2022-06-10Jocelyn LaroucheManual testing2050843812354931050-
skipped known factor: 5434736071
skipped known factor: 32758811633
skipped known factor: 112222172737
skipped known factor: 5633203060673
skipped known factor: 29739203910049
skipped known factor: 1045910829158799843713
--105.5--12.616%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-07Will EdgingtonManual testing??36.708121.48177e-90.7743.19543e-9
2008-09-07Will EdgingtonManual testing??34.931112.49281e-110.7745.37572e-11
2008-09-30markrManual testing??44.757144.25637e-70.7749.17882e-7
2013-12-17TJAOIManual testing??42.357136.20350e-80.7741.33778e-7
2022-12-02LordJuliusManual testing2126236.708124.16009e-90.7748.97121e-9
2022-12-02LordJuliusManual testing2126244.757141.11129e-60.7742.39648e-6
2022-12-02LordJuliusManual testing2126234.931116.94508e-100.7741.49770e-9
2022-12-02LordJuliusManual testing2126232.340101.96200e-100.7744.23104e-10
2022-12-02LordJuliusManual testing2126242.357132.33447e-70.7745.03428e-7
2022-12-02LordJuliusManual testing262263--0.287--
2022-12-02LordJuliusManual testing263264--0.574--
2022-12-02LordJuliusManual testing264265--1.093--
2021-01-20Jocelyn LaroucheManual testing265266--2.186--
2021-01-20Jocelyn LaroucheManual testing266267--4.372--
2021-01-20Jocelyn LaroucheManual testing267268--8.745--
2021-01-21Jocelyn LaroucheManual testing268269--17.49--
2021-01-23Jocelyn LaroucheManual testing269270
skipped known factors(?)
--34.98--
2022-12-03LordJuliusManual testing26927069.825222.6650.7295.414
2021-08-14Jocelyn LaroucheManual testing270271--69.96--
2021-11-04Jocelyn LaroucheManual testing271272--139.9--


ECM factoring results:
Total ECM effort:0.440 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.440


Lucas-Lehmer results:
No L-L results for M3418073


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-06Oliver KruseGTX-0
5434736071
32758811633
112222172737
5633203060673
29739203910049
C4170D598EC974__no
2017-12-16kkmrkkblmbrbkc4.xlarge
5434736071
32758811633
112222172737
5633203060673
29739203910049
C4170D598EC974__no
2019-08-13Niels_Mache_NextcloudSuperDry-X
5434736071
32758811633
112222172737
5633203060673
29739203910049
1045910829158799843713
C4170D598EC97481no


P-1 factor-bounds graph:
B1 = 20508438, B2 = 12354931050 (P-1 stage 2)
B1 = 4380000, B2 = 1042764450 (P-1 stage 2)
B1 = 5000000, B2 = 1002168090 (P-1 stage 2)
B1 = 4380000, B2 = 621034050 (P-1 stage 2)
B1 = 20508438 (P-1 stage 1)
B1 = 3418073, B2 = 205084380 (P-1 stage 2)
B1 = 5000000, B2 = 141372000 (P-1 stage 2)
B1 = 3418073, B2 = 34180730 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 4380000 (P-1 stage 1)
B1 = 3418073 (P-1 stage 1)
B1 = 752004, B2 = 34180730 (P-1 stage 2)
B1 = 324710, B2 = 34180730 (P-1 stage 2)
B1 = 752004 (P-1 stage 1)
B1 = 324710 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-12-03T01:32:25+00:00