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
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272279.787469.4444%2050843812354931050105.464312.6164%385.251773.2995%3.8550%
PrimeNet2600.044963.3333%140002800000.00432.8499%0.049364.3783%1.0450%
GPU722641.041365.6250%190003200000.00541.8210%1.046766.2510%0.6260%
Difference+8+278.7460+3.8194%+20489438+12354611050+105.4589+10.7954%+384.2050+7.0485%+3.2291%

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:
exponentprime factorscomposite factordigitsbits*
34180731780354952249595139432167.271
34180736098978901397666963272169.047
341807336762650177373710495212271.639
3418073306149718691071546357832374.697
34180731616247242127675396774792477.097
34180731845370379550258772090092477.288
34180736321702869374424974720012479.065
34180739742209790046722668000172479.689
341807333373980782543846881341132581.465
34180731675269744880664757814029772787.115
3418073568424931027884809769620367162331102.165
34180731997953009845274524754290597199132103.978
34180733426279583732796792454400631332932104.756
341807311737438573735773246476888945248133106.533
3418073100291009660967521060621801846363934109.628
3418073343567866143333886149941014724807134111.404
3418073529463389572162604591138813331320734112.028
3418073589182808400838649355546565659884934112.182
34180731813787771917518517851254960669002335113.805
34180732070914734976323922945435945058763335113.996
34180733110455542008197195368581971017193735114.583
341807310932919498987158145490485800853652936116.396
341807391046489111579163497503867008868336736119.454
3418073548798460070096628650513660800843144137122.046
34180731880024106910678819027943193710003804938123.822
341807318620925243043495553665031733790084439035942137.096
341807363789880797828600085704722018600993114215142138.872
3418073384504539290918376894937285845242558351147343141.464
34180733202053061229119634303509824311946383738227944144.522
341807311254875010141232955011785295430835121160994345146.335
341807316904504931393805075350666578007419162583952745146.922
341807319300928637805003273464486788212235783561041745147.114
341807359417531962484756339078609169212670007743755945148.736
341807366119374898029689643643920420530715639337971345148.890
3418073101894827193467450464998276794872113822574312146149.514
3418073349062079126002865528611942334235438998388156946151.290
34180732982574786652207336182438645032600982453320831147154.385
341807310217434828177026552866844031794697992037276547948156.162
341807317521827679327871565805230499477942529947293360148156.940
341807361587355583785980988699287246170445072432382401748158.753
341807320896806891475908656276886446659774556153025155442
583
53173.804
341807310489545307167574555457052348539997541647614215732
51607
55179.453
341807335934135175029390113524675018931176924855389918407
27623
55181.229
341807355377149279664924860653185784993374482356230804788
17591
55181.853
341807318970602724443439273377098055652412785310602271636
375399
56183.630
341807321659921475762631858775820847818078595197597666410
601329
56183.821
341807311434858898312069144070027590881477073221259822505
1492177
57186.221
341807395226508918689404634336936355982120936369552952954
2621671
57189.279
341807333471102290870493362340425976875277444927247634698
46017207
58191.093
341807357399425241298727267103030989854442417694284460170
75380433
58191.871
341807319663375724974802469163452396105144549171039509627
553435937
59193.647
341807311771595653935472759678273146427071338723339141018
7120139516838359
66216.161
341807362145440121451923191923474698128794135595088921431
7920366716216567
66218.561
341807331195072681355407196491609419399277324703557640622
475851965272698743
68224.211
341807310686525733014633454526247993200400899004888157153
9016433766801583527
69225.987
341807364414882144335436775870882813197093314853078959468
9712994502115855121
69228.579
341807335007788349903362656936542926349619787058498828643
71653263858073723647108769591
79260.918
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2019-08-12T20:56:05Jocelyn LaroucheManual testing324710341807302269.8250.0490.7180.0993.627%
2020-04-21T18:13:41Jocelyn 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%
2021-08-04T11:41:01Jocelyn 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%
2021-08-10T03:26:52Jocelyn 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%
2021-08-14T13:28:57Jocelyn 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%
2021-12-17T19:28:05Jocelyn 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%
2022-01-10T07:33:56Jocelyn 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%
2022-02-12T19:40:44Jocelyn 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%
2022-03-19T23:11:35Jocelyn 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%
2022-06-10T00:58:56Jocelyn 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
2008-09-30T14:47:00markrManual testing??44.757144.25637e-70.7749.17882e-7
2008-09-07T19:49:00Will EdgingtonManual testing??36.708121.48177e-90.7743.19543e-9
2008-09-07T19:49:00Will EdgingtonManual testing??34.931112.49281e-110.7745.37572e-11
2013-12-17T10:41:00TJAOIManual testing??42.357136.20350e-80.7741.33778e-7
2021-01-20T02:26:31Jocelyn LaroucheManual testing265266--2.186--
2021-01-20T15:08:37Jocelyn LaroucheManual testing266267--4.372--
2021-01-20T21:48:07Jocelyn LaroucheManual testing267268--8.745--
2021-01-21T11:45:41Jocelyn LaroucheManual testing268269--17.49--
2021-01-23T02:35:47Jocelyn LaroucheManual testing269270
skipped known factors(?)
--34.98--
2021-08-14T23:11:06Jocelyn LaroucheManual testing270271--69.96--
2021-11-04T11:06:18Jocelyn 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
2017-11-06T06:59:38Oliver KruseGTX-0
5434736071
32758811633
112222172737
5633203060673
29739203910049
C4170D598EC974__no
2017-12-16T05:43:27kkmrkkblmbrbkc4.xlarge
5434736071
32758811633
112222172737
5633203060673
29739203910049
C4170D598EC974__no
2019-08-13T10:55:37Niels_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: 2022-06-10T00:58:56+00:00