is 2 3005417 - 1
has 904721 decimal digits
takes 0.256 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
Actual2741,272.990070.2703%8960000101437692510683.090012.4564%1,956.080073.9735%3.7033%
PrimeNet2600.051163.3333%120002200000.00292.5160%0.054064.2558%0.9225%
GPU722641.184365.6250%130002000000.00291.3874%1.187266.1019%0.4769%
Difference+10+1,271.8057+4.6453%+8947000+101437492510+683.0872+11.0690%+1,954.8928+7.8716%+3.2263%

Known prime factors (7 factors, 364.1 bits, 0.01211562% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
300541724043337824.5194
22
-447.443e-134.936e-71.005e-6
3005417143057849211133.7362380
22 × 5 × 7 × 17
2008-09-077175.769e-109.311e-71.758e-6
3005417427486426712891445.2817111932
22 × 3 × 592661
2008-09-3045926612.151e-60.00400.0074
300541762026018532392167831962.4281031903701423
7 × 147414814489
2016-08-0871474148144890.3771991.181,851.3
3005417198546691350808965532064.1063303147139828
22 × 23 × 11503 × 3121253
2017-07-191150331212531.66010.02230.0392
3005417358486058296549289832064.9595963998644723
3 × 7 × 23 × 2437 × 5066813
2018-03-27243750668131.87940.03440.0636
30054176312268741311195098092169.097105014857194712
23 × 13126857149339
2021-01-2281312685714933951.02188,262164,849

120 Composite Factors:
exponentprime factorscomposite factordigitsbits*
30054173439588079051213771858.255
300541710278200220383816513932269.800
30054176115528877201433358331692479.017
30054171491312466342550307297248712786.947
30054174773725010382485180859173612788.625
30054178619201109425580512493362712789.478
3005417151768004581910885616125926332993.616
3005417887330880630362424600915291432996.163
30054172840366263240844020230682773133097.842
30054175128424447167501776783272653433098.694
3005417903019589767493446027450379008931102.833
30054171470377217277856791174105804495332103.536
300541726515281025639821407595928104328733107.709
300541784876015621224387680255099216681733109.387
3005417153247924087580630141291870806908734110.239
30054172698409208674594609264551399817380135114.378
3005417213343953935025762068168968603047019137120.683
3005417682918832705303249428411236544591348137122.361
30054171233044372622869406672990003693016959138123.214
300541712315060757270424634256255722716444899939126.534
300541721711604314381596568129300713288708699339127.352
300541722235462895505985302214430361040672168939127.386
300541771176220770173081482086182863918449559939129.065
3005417391524897930007969867854740540204592444740131.524
3005417637515837349163866722643259240146092871940132.228
30054171253280073504473255267925448358959778837741133.203
30054172040702646798362305615021596435114134832941133.906
30054172262860339981170894435150318587166689424741134.055
30054173684591483388118605159438065170967802331941134.759
300541764878761968066601528930931459631008201393742138.897
3005417379321907472675571469918823135905631287532743141.444
30054171214218024428672292833651567807363975516645744143.123
30054172192331841586663662046971344849354583083712744143.975
300541738602861768144557957004706315336918388305472145148.114
3005417296095155962528019614524900699450040170226966346151.053
3005417534614727747646190138188395433532551663383619346151.905
30054171711313862363670946402257557640816423286177386347153.584
30054179413565064821784032218676993855701065095575963947156.043
300541730133035162652821483893756845770566932040289404948157.722
300541754406713738101865469495743755448612589012398223948158.574
3005417176176610482558081852010083167956874607716774407949160.270
3005417318095749801984523201666825767580233781553985156949161.122
30054171018231705827709075626532846437093150687716506267950162.801
30054175601070981003172128745378709838426252850339786368750165.260
30054179120164452848357056518843627299975893243892604619950165.964
300541717929155177330065121259671694085770999341863566321
7
51166.939
300541729193853152812800399162169585370803145006461674700
9
51167.642
300541732371993330031568005534456240012635249685363424948
7
51167.791
300541752710973283098769132249441873556246473576203657279
9
51168.495
300541752645213178776710056510769445610421838515051620897
11
52171.815
300541792814161465591547167629566452567379735152532464439
77
52172.633
300541795053585795069042620294385827628118462030141338871
21
52172.667
300541730426868283969074029032493394243361259681747424157
111
53174.346
300541716737157958522808967564829695978433651667785755010
2183
54176.805
300541753576022029289539850767506130137065381369764379580
7953
54178.484
300541796734208088886616072648261739946356814602226034617
4383
54179.336
300541742358736173498765840414625570052147376600772076421
151623
56184.789
300541776480833107567971601219944536502152353486868488203
445753
56185.641
300541724481688047300473243247215368456279922376549720661
7319823
57187.320
300541713466843715717986556043252751327049794692793004817
06603519
58189.779
300541743107672005384151594239215105026509904200320393309
44835129
58191.458
300541744147775885563918889024633104277895087457907277276
70438017
58191.492
300541777833074499570121019548279649037667356626433679351
58018119
58192.310
300541777735973065466276442955200256918706622114511937780
460731191
59195.630
300541712657666018941696876399774739101145429755769656936
2545805607
60196.334
300541714035621738388734745841712736342309711179366844498
0368547401
60196.483
300541722854053963292579299871009576616867628585123923681
1170162777
60197.186
300541744928343349222817840326807099801765818431275611845
3797830591
60198.161
300541773156344800608014445797602262806699477927276606789
1360719407
60198.865
300541740241712921899591819378326972801702501918918495151
01170304671
61201.324
300541712881463527696322772069328585364513191553067665888
569801259161
62203.003
300541723258131645092268650242986394777366188157278415004
807351236071
62203.855
300541775313109685577433595242082340912110237787772250976
648473047831
62205.551
300541713598161543540785060713137533538384422897125070131
2250717902441
63206.403
300541743528023349005792527486576021839878571311070755943
7389678723231
63208.081
300541723943818194343074396275251875466129047522797595548
37811570582543
64210.541
300541776644704807377411954013837947328989359599068958672
98617039276713
64212.220
300541713838587754228703798908077433361858146672221178190
637728357878743
65213.072
300541710614598534170867368894848550275095732383949379823
1624566180342729
66216.011
300541718690321974359287466531331556795830449196308631105
78649375291624367
67220.150
300541733746318346060618649788164797707029974425818448889
28959369362717137
67221.002
300541710802272999970728974245896132345264887676239708754
796580170768322167
68222.681
300541763156858655938773242427566866073613213577530614948
124346641063741657
68225.228
300541711120741112992096033716460205139629591174686300147
74205336704842170911
70229.366
300541718107784766883022755255269823042987538282815427094
80138368024417852047
70230.070
300541720079058582190136836333114151637946296050165133034
73674506431899540321
70230.219
300541732694518057179126845929142604621217911526609439231
36786239020322085617
70230.922
300541764273521681082242452927702272041984353448736652273
26830840051240318311
70231.897
300541710465589343240148846904415102692155605291106060160
000690445864372661847
71232.601
300541757568928991332203132571742560171417277507963777255
935483934015367665991
71235.060
300541718427944669492952017981832084310191410422545998596
1367929109272246911281
72236.739
300541718872574960641212631482693168505813375449006836300
2768874352083579993913
72236.773
300541733272582897899390051032713775241419836663564232577
4553147822935223085391
72237.591
300541733231073352805640378767165249362792377585042034855
31794593449996402475199
73240.911
300541760000377836375615962418372523407528836282289473000
22368823332001258269889
73241.764
300541719206256956489098966437800049276259691587831772230
216739001042799321601799
74243.442
300541715185016365261029764342686882510417493016975442030
14991184195913579140189409
76249.747
300541726737972626942404327500821515926124631578520858373
531197817592989847024770007
77253.885
300541748276757213433965803207090780730024478383588919920
400826786450828198082891177
77254.738
300541715453499419550668800114473823623711079586950875548
5800603029345068241138643807
78256.416
300541727867262572085728980781303987676197506115003001999
03532503431201136289358008753
79260.589
300541745375967983645841138739520151798305744502799768047
13903979157802165960108207681
79261.292
300541779898589549322590712750659862511865239530841180319
215561625096256153498843699063
80265.430
300541714426093044473097931670042655718276041479529129308
9677921157664769137006978179593
81266.283
300541746178250851346174327641571612336571786436230439903
8342638843115375512643433163263
81267.961
300541726998699829238322815461984180248017708733851360317
04165243954180923608617867185873
82270.509
300541747539658807921184317431604119424944005370983273738
436388761046283902033948930674279
83274.647
300541785835250050592489212725165633872414556395985444220
363666875523456577310404604543769
83275.500
300541727476058115699310509494256502934937285919731431425
5741165362910681810600045700672879
84277.178
300541767002198528814397477559141507514266351808257793307
447999470450025234587964118097328761
86285.108
300541739866306469329169717255387738561531611359781523786
753240942219457976446363694389253413513
89294.325
300541764913883855621944876694129633437183335305583156401
105929264077584505293255484971186178201
89295.028
300541711430120375838673039831230322939221749272643608718
56475948044848276454277219580991327229023
91299.166
300541720637658434456622678104158457160130781831341834824
84905905243947517893140611513397569317153
91300.019
300541766061612470734351324741210866450618623923345775525
74689023593188823672027070996679156557223
91301.697
300541711912876499210788462613017662420429516933700218438
1629566417586619701054553504561711763792617
93305.870
300541795851904138736139144216600246390279976807625542277
8424307815979956085037984728765828999493412881
96318.844
300541728642530430990522104231668424452662256038416100888
23656274541917824163293885294708273233730288642929
100330.389
300541717042304898814496598897008033336084894569344274166
70777960664478653330707759323946640864412734049728
257
103339.606
300541740975387993894784221263459243720672338074021425281
05493256042880419133637910594054125632104667184899
1241473609
110364.125
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2019-11-18T12:39:01Jocelyn LaroucheManual testing300541730054170012-
skipped known factor: 24043337
skipped known factor: 14305784921
skipped known factor: 42748642671289
skipped known factor: 19854669135080896553
skipped known factor: 35848605829654928983
--2.371--5.789%
2021-12-17T06:54:18Jocelyn LaroucheManual testing896000050027877900-
skipped known factor: 24043337
skipped known factor: 14305784921
skipped known factor: 42748642671289
skipped known factor: 19854669135080896553
skipped known factor: 35848605829654928983
--337.4--11.715%
2021-12-17T11:25:18Jocelyn LaroucheManual testing8960000100013924010-
skipped known factor: 24043337
skipped known factor: 14305784921
skipped known factor: 42748642671289
skipped known factor: 19854669135080896553
skipped known factor: 35848605829654928983
--673.5--12.442%
2021-12-17T17:40:50Jocelyn LaroucheManual testing8960000100725808260-
skipped known factor: 24043337
skipped known factor: 14305784921
skipped known factor: 42748642671289
skipped known factor: 19854669135080896553
skipped known factor: 35848605829654928983
--678.3--12.449%
2021-12-18T01:56:37Jocelyn LaroucheManual testing8960000101437692510-
skipped known factor: 24043337
skipped known factor: 14305784921
skipped known factor: 42748642671289
skipped known factor: 19854669135080896553
skipped known factor: 35848605829654928983
--683.1--12.456%
2022-01-16T15:45:31Jocelyn LaroucheManual testing10000000733687500-
skipped known factor: 24043337
skipped known factor: 14305784921
skipped known factor: 42748642671289
skipped known factor: 19854669135080896553
skipped known factor: 35848605829654928983
--6.100--7.387%
2022-02-01T01:28:59Jocelyn LaroucheManual testing1000000010011509970-
skipped known factor: 24043337
skipped known factor: 14305784921
skipped known factor: 42748642671289
skipped known factor: 19854669135080896553
skipped known factor: 35848605829654928983
--68.48--10.129%
2022-02-01T21:41:42Jocelyn LaroucheManual testing1000000011041344930-
skipped known factor: 24043337
skipped known factor: 14305784921
skipped known factor: 42748642671289
skipped known factor: 19854669135080896553
skipped known factor: 35848605829654928983
--75.41--10.233%
2022-06-03T20:53:09Jocelyn LaroucheManual testing2103791914749885920-
skipped known factor: 24043337
skipped known factor: 14305784921
skipped known factor: 42748642671289
skipped known factor: 19854669135080896553
skipped known factor: 35848605829654928983
--101.6--11.200%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T14:45:00markrManual testing??45.281145.91427e-70.5701.31866e-6
2008-09-07T19:43:00Will EdgingtonManual testing??33.736111.96148e-100.5704.37340e-10
2016-08-08T15:32:02TJAOIManual testing262263*62.428190.1730.5190.351
2022-03-10T21:12:17LordJuliusManual testing263264--0.653--
2017-07-19T16:07:23TJAOIManual testing264265*64.106200.4760.5190.966
2018-03-27T14:22:21TJAOIManual testing264265*64.959200.6950.5191.411
2021-01-15T11:53:32Jocelyn LaroucheManual testing265266--2.486--
2019-06-18T03:32:30Seth_TrManual testing266267--4.973--
2021-01-20T21:14:09Jocelyn LaroucheManual testing267268--9.95--
2021-01-21T03:09:30Jocelyn LaroucheManual testing268269--19.89--
2021-01-22T20:01:04Jocelyn LaroucheManual testing26927069.0972111.300.51922.93
2021-01-22T20:01:05Jocelyn LaroucheManual testing269270
skipped known factors(?)
--39.78--
2021-02-12T01:50:24Jocelyn LaroucheManual testing270271--79.57--
2021-02-12T11:38:01Jocelyn LaroucheManual testing271272--159.1--
2021-11-03T11:59:30Jocelyn LaroucheManual testing272273--318.3--
2022-01-06T11:35:28Jocelyn LaroucheManual testing273274--636.5--


ECM factoring results:
Total ECM effort:0.349 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.349


Lucas-Lehmer results:
No L-L results for M3005417


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T13:09:44alpertronManual testing
24043337
14305784921
42748642671289
6202601853239216783
19854669135080896553
50515A900FE1B4__no
2017-11-17T17:30:08Oliver KruseThreadripper
24043337
14305784921
42748642671289
6202601853239216783
19854669135080896553
50515A900FE1B4__no
2018-04-04T20:13:23marcomichsisg6
24043337
14305784921
42748642671289
6202601853239216783
19854669135080896553
35848605829654928983
37310135A86E35__no
2018-04-05T10:06:33kkmrkkblmbrbkc5.xlarge
24043337
14305784921
42748642671289
6202601853239216783
19854669135080896553
35848605829654928983
37310135A86E35__no
2021-01-23T19:09:26Yuji HASEGAWAvj20a
24043337
14305784921
42748642671289
6202601853239216783
19854669135080896553
35848605829654928983
631226874131119509809
37310135A86E3587no


P-1 factor-bounds graph:
B1 = 8960000, B2 = 101437692510 (P-1 stage 2)
B1 = 8960000, B2 = 100725808260 (P-1 stage 2)
B1 = 8960000, B2 = 100013924010 (P-1 stage 2)
B1 = 8960000, B2 = 50027877900 (P-1 stage 2)
B1 = 21037919, B2 = 14749885920 (P-1 stage 2)
B1 = 10000000, B2 = 11041344930 (P-1 stage 2)
B1 = 10000000, B2 = 10011509970 (P-1 stage 2)
B1 = 10000000, B2 = 733687500 (P-1 stage 2)
B1 = 21037919 (P-1 stage 1)
B1 = 3005417, B2 = 300541700 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 8960000 (P-1 stage 1)
B1 = 3005417 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
274
273
272
271
270
269
268
267
266
265
264
263
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-06-03T20:53:09+00:00