is 2 16834331 - 1
has 5067639 decimal digits
takes 9.205 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-
PRP12D1B5AAE3F9DFD6verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2697.091963.7681%----7.091963.7681%0.0000%
PrimeNet2650.433461.5385%8000024000000.16364.5240%0.597063.2784%1.7400%
GPU722697.091963.7681%12000032000000.22823.2907%7.320164.9604%1.1923%
Difference----120000-3200000-0.2282-3.2907%-0.2282-1.1923%-1.1923%

Known prime factors (7 factors, 268.8 bits, 0.00159676% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
16834331134674649927.0054
22
-441.063e-123.171e-66.454e-6
1683433124578123271031.19573
73
2008-09-081731.726e-113.903e-66.152e-6
1683433148482873291032.175144
24 × 32
2008-09-08993.505e-117.136e-61.452e-5
16834331731620025271136.0902173
41 × 53
2008-09-0841537.996e-103.303e-56.616e-5
168343311304997339131236.9253876
22 × 3 × 17 × 19
2008-09-0817191.000e-91.357e-52.743e-5
168343313389760890171238.30210068
22 × 3 × 839
2008-09-0848392.565e-93.924e-56.773e-5
168343311593387073410292832572167.1114732552405588
22 × 7 × 709 × 238391719
2019-06-207092383917192.744310.29819.234

120 Composite Factors:
exponentprime factorscomposite factordigitsbits*
168343313310050124465982231858.200
168343316529413942842225211859.180
1683433198530670104608380231963.095
16834331119161803620541045832063.370
16834331175750058593266715372063.930
16834331456514858077572300332065.307
168343311798184716788657503292167.285
168343313207438546815913455512168.120
168343313547104098159200803832168.265
168343316327002063682694883772169.100
168343318331396101442319125592169.497
1683433116434534772150971655932270.477
1683433195476218623157335981512273.016
16834331248001694812543309459592374.393
16834331442362894195879017335212375.228
1683433116048074076803294537248163672890.374
16834331214588844832668420213580517932994.116
16834331242169895570676856436797095212994.290
16834331431960660481503212235186365992995.125
16834331477704999386051914376323105672995.270
16834331852086782148742580845820546732996.105
168343311122027845641712721984820167913096.502
168343312213315201917727082771321518573097.482
168343313916246390710271652570293090393098.305
168343317725198358207515558328649505533099.285
168343318718116177607901744121682812413099.460
16834331128582262309209774950849297399931100.021
16834331155505836650737665019097382327931100.295
16834331333995412002843909987686629339131101.398
16834331403930021515027944409723566491131101.672
16834331595750675064541439060843220912931102.233
168343311165753890913329787242963279043932103.201
168343312079365891004570121257960599464132104.036
168343312346626270673430680358359220737732104.210
168343314628961409714875380125507112867932105.190
168343315401201184348645369772853968836932105.413
168343316095416226271609002111560103659332105.587
1683433110872449743620282014071258291336733106.422
1683433112023834745301787575166560345351133106.568
1683433121447024147496478837632699885540933107.402
16834331323641551830099342992649108260756734111.318
168343315274191080664226955045541697753985231138125.310
1683433110403883773469734269799498988012763089739126.290
1683433111741092361605658270160754460506495940939126.465
1683433120942693968389430627526518261828735407139127.300
1683433154399133868098836638571033504217054123939128.677
16834331156997496079136978518190757325126288091140130.206
16834331189870877533225933633044422719540886683140130.480
16834331280037871513612738476303282188657255600940131.041
16834331316031069337123270503093222268763268567340131.215
16834331623403753087896031897144246372487815867140132.195
16834331727404873680538108799634317981366445748140132.418
16834331820898040782033521024614615802719843085740132.592
168343311464243352992201469526059771374109813318341133.427
168343311619305723957522640758117631047478174263941133.572
168343312865204283334995239702042491242438194155341134.396
168343312888370449158612516194111848007560882644141134.407
168343315110691119254370857363700308243174573960741135.231
168343315651909818047545044688324710200831604743141135.376
1683433110081363301712252399986963914763040220388942136.211
1683433111377118414004518264541282189132904942603342136.385
1683433113275138851499100055579193674578206672466342136.608
1683433126186575263457330464584247505279303137640142137.588
1683433129552329254813638837379811094993310723009742137.762
1683433143586312394533936652665628235180409046898342138.323
1683433152712760327183511876228281276973913082674342138.597
16834331152130572572233965780023609796858919045780743140.126
16834331395162694698150985392348391484047257050846343141.503
16834331704855317368078680977356936183821444095789743142.338
16834331795450195617427574841934048668845347607840943142.513
168343311569107234875767405442485611723775936561854344143.493
1683433125570793787109188449727552431161794355195266731948157.485
16834331385870381171437033323543437091160937702058878989749161.401
16834331688280532632999536931285404353841342393881812294349162.236
16834331761168970925206994205089444744323715876883727671949162.381
168343311357704064099578690967651969796378359853757750996150163.216
168343311532209429037495181691186324831425587495464573741750163.390
168343311787824665251904423801008399826840206663856916828750163.613
168343313526667832118198506794890463702615797026279155824950164.593
168343313979949569524458370836894138904529778969267571095350164.767
168343317099072494884564620518375224849733526565669333820750165.602
1683433113891333621889583282922730345710306563788782848193
7
51166.571
1683433120488131463334636487302690861104936225009930703474
3
51167.131
1683433124778098995913794155623294549008777537668635153970
3
51167.405
1683433153218397206367644906718646908828653442735500605448
7
51168.508
1683433164361687484438699454367800448494468829661615469512
7
51168.783
1683433194926142462329600165008522328271552462273600225315
3
51169.343
1683433110712697589175839692475869848562566442436896285534
41
52169.518
1683433121131896610025453393360743944644980921111399464164
07
52170.498
1683433137390839658160473902223819850975781711061488179868
89
52171.321
1683433173757272735547687351470806869895136121029533872275
03
52172.301
1683433197123574219965303600451080806811317223010770192234
01
52172.698
1683433117324020877787609784120482856315486832655732934596
319
53173.533
1683433119158622855985409022065867999856378219968240250165
327
53173.678
1683433134173411039739294980575529696102831222080990647587
113
53174.513
1683433138565711042625454426813480260148322158676954965179
561
53174.688
1683433151568626510452759446800214994861722229452955261460
5719
54178.429
1683433118708104796698783453838864034301841921606504402177
068315113
59193.575
1683433133369817851619426621668185696113704128046077176700
111089247
59194.410
1683433186678876710144748110334750423030351680761188521295
930735423
59195.788
1683433150355982067780418084556532578693957094378253380414
9162676961
60198.326
1683433199332348168571546168210705489499161239068739928822
5049671447
60199.306
1683433113080083267699276054569185549327950956236630198858
77782261249
61199.703
1683433123331064309847182442253918023848056224520325708044
99218017031
61200.538
1683433125801808084532125091681540277609897871854675468386
87605695223
61200.683
1683433146022921369096146030164712798117254627399984650360
77140198337
61201.518
1683433151938235981010071133966016425039039746587412143243
64599649089
61201.692
1683433118128153413533011706878693070546455075560935228234
161226829481
62203.496
1683433147088299423784884026570505376001840618612258435353
904488585929
62204.873
1683433169449866747073202095792531275575392447870742118499
057479717631
62205.434
1683433183991830909109126069547762441636102437231133406011
319137741951
62205.708
1683433112674600592384978651951126912062138255599939590819
73016402898113
64209.623
1683433125001951848456159967900653195406388799217439359574
31727758634551
64210.604
1683433124414026979857102015367788748545760754954374299741
70553032669736527169
70230.501
1683433163416001969051315077840894852656609086655487718785
76277779834494413921
70231.878
1683433111311570346551622456113094495562725081462147423326
748894902379903500199
71232.713
1683433117069473859946390728240111820364223357623941488148
5078211531545951037337
72236.628
1683433133671290895057345355648717359620838238921401204294
5596877357664875197599
72237.608
1683433161450105452195985888190149735021762165271350411336
74247746080080135910177
73241.798
1683433182757713827874806787009616608214988269693991064027
8141395542375918195575383002873
81268.803
P-1 results:
No P-1 results for M16834331


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08T12:40:00Will EdgingtonManual testing??36.925124.56236e-1019.179.50230e-10
2008-09-08T12:40:00Will EdgingtonManual testing??31.195102.68521e-1319.175.59265e-13
2008-09-08T12:40:00Will EdgingtonManual testing??38.302123.89849e-1019.178.11961e-10
2008-09-08T12:40:00Will EdgingtonManual testing??32.175101.05937e-1219.172.20642e-12
2008-09-08T12:40:00Will EdgingtonManual testing??36.090112.55779e-1019.175.32727e-10
2019-06-18T03:31:03Seth_TrManual testing266267--0.888--
2019-06-20T04:01:08Seth_TrManual testing26726867.111210.97918.741.993
2021-08-06T21:18:56Seth_TrManual testing267268
skipped known factors(?)
--1.776--
2019-12-17T02:51:02Seth_TrManual testing268269--3.551--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.831 GHz-days
Estimated T-Level:0.050
DigitsB1CurvesCompleteFacMiss
20110001 / 1000.01099.000%
25500001 / 2800.00499.643%

New Calculation Method

Total ECM effort:0.831 GHz-days
Estimated T-Level:0.050
DigitsB1CompleteFacMiss
20110000.03296.826%
25500000.00399.709%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.831


Lucas-Lehmer results:
No L-L results for M16834331


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-07T06:42:49nordisweet16
134674649
2457812327
4848287329
73162002527
130499733913
338976089017
159338707341029283257
12D1B5AAE3F9DFD6no


P-1 factor-bounds graph:
100
101
102
103
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
269
268
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-05-19T04:15:33+00:00