is 2 1341071 - 1
has 403703 decimal digits
takes 0.051 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
Actual26722.156968.6567%10000000002501208931221075,495.407330.6830%75,517.564278.2738%9.6171%
PrimeNet2560.007262.5000%60001000000.00062.6096%0.007863.4786%0.9786%
GPU722600.114565.0000%5500400000.00040.9801%0.114965.3431%0.3431%
Difference+7+22.0423+3.6567%+999994500+25012089272210+75,495.4069+29.7028%+75,517.4492+12.9307%+12.9307%

Known prime factors (7 factors, 303.3 bits, 0.02261625% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
13410712682143721.3551
1
-112.084e-135.536e-81.127e-7
134107124139279824.5259
32
2008-07-15991.670e-124.983e-71.014e-6
134107121591243111031.008805
5 × 7 × 23
2008-07-157232.505e-104.358e-77.887e-7
134107143557986091032.0201624
23 × 7 × 29
2008-07-158295.766e-105.062e-79.014e-7
1341071958195229511136.48035725
52 × 1429
2008-07-152514291.183e-85.619e-68.027e-6
1341071383962154909288222312172375.02314315504358430248
23 × 3 × 439 × 1301 × 1044368093
2018-06-09130110443680937,099.03.15025.8835
134107189553308554232955051187272582.8893338872757454040653
3 × 7 × 11 × 14453994621013163
2021-08-201114453994621013163839,91643,597,06281,427,171

120 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1341071647449981948971445.880
134107157910801568784731652.363
1341071116828747485390871753.375
1341071521197041389117691755.533
13410711051458378904629111856.545
13410712570016627463639931857.835
134107123130141981610923291961.004
134107194047106705118833991963.028
13410712068862614719265617612167.487
13410714173705447850093751592168.500
13410711397924996182532288409672476.888
13410712820161730770398634982732477.900
134107162038348404983866625810472582.359
1341071252247788919387544754440572684.383
13410712270229347897634261839293212787.553
13410715548985380030975241413338232788.842
134107111194474851012994005170857372889.855
134107149940851869377859418595103192892.012
1341071100750240269473363245787703612993.025
13410711029841406054863040457030580313096.378
13410719011548899406280102687163904493099.508
13410719268569582796528089807496725433099.548
13410712401947796655760407598565779196132104.244
13410718290220231685922005001788781648732106.031
134107116724618202625201599274328497715333107.044
134107121617523005637159329750687917783333107.414
134107160890797538582044519524274081490333108.908
1341071367910705146459601409149636016136734111.503
13410711339485062554887399945689258553361735113.367
13410711933567256299286352083886840707209735113.897
13410712702265516870860949161467687236362335114.380
13410713900761768318757066739210344645074335114.909
134107185809553043503092647277899975640337736119.369
1341071241702627997002583334616578562805220737120.863
1341071248596290265106282403805486896349964937120.903
13410712175322931049111297509140992092134627138124.033
134107122235556162874773904261512768177589164139127.386
134107144857817639843766093082445259847607887939128.399
134107157981288006908667436175499343867053611939128.769
1341071200119939144111111650977574899288049287340130.556
1341071403720224961648273836129213144000489268740131.569
1341071986789122433640594702340832193228936948140132.858
13410715186103881512336794237332502594957546387141135.252
13410718881099158617124180644256216541972303439341136.028
134107110462400871563776035255105851417373518224942136.264
134107136110529753481196794269282617617212186658342138.051
134107146674919465072980753845175852259892259806342138.422
134107194161576637979837767239418749073604503429742139.434
1341071230153492028760515422247888474363902279691143140.724
1341071794364947758873740981864836959241937269313743142.511
13410711602544937713157873092668424431944539413850344143.523
13410712071380741782420290775489818046075315394518344143.894
13410715834527172252856522835059947952974245133875344145.388
13410718422229565396377980099678552065868587531307344145.917
1341071185273492092271567938423061810431360920319824746150.376
1341071373769131785802487440211204350335316837950259346151.389
1341071536750293935803609336887945673101146379586683946151.911
13410711082835375339310186131657116129688904288618824147152.924
134107123820377940590809301245727301404535219863594419948157.383
134107134385081331739679976690775050254473305663070075948157.912
134107196853604604591317613371796487863682345960252736948159.406
1341071125188808518809239818060561495907904205393648900949159.777
1341071252554813648521156008536836321896524803642445847149160.789
1341071871682152557083830670771814236512200175944781365749162.576
13410712130600384076828892258321899396372047353328855259150163.866
13410714298254686872782397210388965911169022777082685192950164.878
13410715555739356906526105961444587043554584658199496716950165.248
134107119175397101771877959334969239648652752244461542822
3
51167.036
134107122589624073220937424678492130673604970966983155543
9
51167.272
134107138684279361495539869630515951853125749437428855933
7
51168.048
134107120330654928115191365108258837863402821175414814943
67
52170.442
134107149692999990084154004506584627341580167290937558033
21
52171.731
134107110025022604353676410703504002698214177096904223296
799
53172.744
134107134600937344864599083754331510530778200521418728446
433
53174.531
134107144723685169196371222330491090762477316052970176643
913
53174.901
134107190225173537652544832132540807387579567046790973650
447
53175.914
134107192225705198356260471721325465614683795471063762584
6537
54179.267
134107180701401914008899527643217028739794358670605226338
38423
55182.397
134107183003107170455569032805211566433175212345312855870
12761
55182.437
134107123379761837059144968467959261517615421165090637265
426951
56183.931
134107151431157108737730065484572401338956438863216815850
0321889
57188.391
134107174241665039071398961032965740436680050757668575772
3052049
57188.920
134107110375676909947973179255040094665119825697335374394
05819191
58189.403
134107114977448943514356559257483038703033992083483245927
47444231
58189.933
134107154529723800859663713585560684163460832995890617997
45988481
58191.797
134107132947620898386319102839168649578366833023993814108
213619809
59194.392
134107192804661892967170380298093980649553035081119592571
501145919
59195.886
134107111995531911076386269937517036565094319591026158849
4234745559
60196.256
134107124199681762780000955369046939874894482269758108243
9730867921
60197.269
134107183524168022920577450589017579119389306950447216179
3682741807
60199.056
134107121645270023384557180577156105111523826054785311358
691289380489
62203.752
134107122262620287548721129235526856642777586356549445918
207167826823
62203.792
134107119480736564933948341807478283143009144265758086574
4040533717017
63206.922
134107119912676219289007922354184182995205834137932546682
76579991861007
64210.275
134107140171659841704426844916543329876071700628770003681
65408312067033
64211.288
134107117921402658026904004406848882058426015789735231401
003158142332671
65213.445
134107136154481875574829348939641590902033568138699336526
891932829049449
65214.458
134107188370230759260577077446356319286069552627473840553
646402875370687
65215.747
134107179533181325237800660646438416022542934671260037303
2304760169377711
66218.917
134107122402376259350026636505517937671201619391199334774
49793610158452401
67220.411
134107132338174130703113024615143737533874601766830217843
20181122268799841
67220.940
134107171138009271317562244743758154333691728858182690354
658811310923076599
68225.400
134107114351320127905045909277697875454985868777764751911
7161460638897045681
69226.412
134107152250121212481635007340535224784039975228393191598
9318109225361127431
69228.277
134107148067764689408254387091798881070832929268327822755
580813589350577193953
71234.800
134107196971490481199899514453017115546753020548235454570
247509393905176289207
71235.813
134107121331936555921729037734822027246595137442797741023
25984986354975241914673
73240.272
134107186735607377446439677180335469620319026006691300976
61883555825405611939263
73242.295
134107178062020769162491146971882230543297096306340757414
782677440979672357054639
74245.465
134107119080231360099950035180375772733903093471487269565
5915648145913153438471657
75246.755
134107138492292821819623550247812412766462163041200284986
7460791522393238793974383
75247.767
134107117172202533049213326257358615959860437429000233954
41717996042727893561632121
76249.925
134107134643052058581558871186303749331515582748385234276
26994186409854037969403999
76250.937
134107130986284183103414122292577933007910175439527732091
4700566977712203555924650791
78257.420
134107120937350257186379149241260512147609050377837771811
4757454819581541354767600611377
81266.820
134107146058302818600216178527890610286427953227130974499
20235831060030320621076661915303
82271.280
134107192917619577560118055440246297143279199659502217417
45749068119885138961371150089857
82272.292
134107183109645217721540464208181854971635221683901229935
0117722815301942782098410646525113
84278.775
134107174798655906922039935056065835412125293187370755319
32492187733181663341257248421519689
85281.945
134107120062069135015960095753108158798978397024545415978
444010393883239066059109740053040083213527
92303.300
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:05:14alpertronManual testing5000001500000012-
skipped known factor: 2682143
skipped known factor: 24139279
skipped known factor: 2159124311
skipped known factor: 4355798609
skipped known factor: 95819522951
--0.071--4.882%
2022-02-15T23:26:22nordisweet16_ccx310000000001000000000-
skipped known factor: 2682143
skipped known factor: 24139279
skipped known factor: 2159124311
skipped known factor: 4355798609
skipped known factor: 95819522951
--55.36--12.837%
2022-03-30T07:02:01nordisweet16_30.8b11100000000025012089312210-
skipped known factor: 2682143
skipped known factor: 24139279
skipped known factor: 2159124311
skipped known factor: 4355798609
skipped known factor: 95819522951
skipped known factor: 38396215490928822231217
--75,495--30.683%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T09:58:00J FeitsmaManual testing??31.008103.71703e-110.1118.07257e-11
2008-07-15T09:58:00J FeitsmaManual testing??24.52583.24663e-150.1117.05096e-15
2008-07-15T09:58:00J FeitsmaManual testing??32.020101.49974e-100.1113.25711e-10
2008-07-15T09:58:00J FeitsmaManual testing??36.480115.00159e-90.1111.08624e-8


ECM factoring results:

Old Calculation Method

Total ECM effort:25.267 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000303 / 1003.0304.758%
2550000303 / 2801.08233.821%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:25.267 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100012.3280.000%
25500001.36325.599%
302500000.11389.283%
3510000000.00899.235%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025111.72
50000500000020.093
25000035000000256.724
25000035000000256.724


Lucas-Lehmer results:
No L-L results for M1341071


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T06:05:03Oliver KruseGTX-1
2682143
24139279
2159124311
4355798609
95819522951
487E31485331C4D6no
2017-10-05T21:17:05Oliver KruseManual testing
2682143
24139279
2159124311
4355798609
95819522951
487E31485331C4__no
2017-10-23T09:34:59noknopcr2-srv?
2017-11-04T20:07:49kkmrkkblmbrbkc4.xlarge
2682143
24139279
2159124311
4355798609
95819522951
487E31485331C4__no
2018-06-09T05:28:42ATHec2-PRPCF
2682143
24139279
2159124311
4355798609
95819522951
38396215490928822231217
18676F0FD50338__no
2018-06-11T09:37:20Oliver KruseGTX-4
2682143
24139279
2159124311
4355798609
95819522951
38396215490928822231217
18676F0FD50338__no
2021-08-20T17:17:05SRJ2877LTOS
2682143
24139279
2159124311
4355798609
95819522951
38396215490928822231217
8955330855423295505118727
18676F0FD50338C5no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 25012089312210 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-03-30T07:02:01+00:00