Cow Noise

Ruminations (What happens after the factors)

Table Entry Stats

(NOTE: Ignoring table entries that are the even exponents and minus 1's)
  (n = At least this many discovered distinct primitive factors not including the ultimate factor)
   n  # of entries (as of Dec 13, 2024)

   0     856258586
   1     667623687
   2     407638040
   3     199106014
   4      78350566
   5      25309985
   6       6916246
   7       1638347
   8        343600
   9         67081
  10         12788
  11          2654
  12           561
  13           126
  14            31
  15            11
  16             5
  
  (n = # of discovered distinct primitive factors not including the ultimate factor)
   n  # of entries (as of Dec 13, 2024)

   0     188634899
   1     259985647
   2     208532026
   3     120755448
   4      53040581
   5      18393739
   6       5277899
   7       1294747
   8        276519
   9         54293
  10         10134
  11          2093
  12           435
  13            95
  14            20
  15             6
  16             5

  (n = 16: 3150350 + 1, 5400342 + 1, 7938174 + 1, 9747447 + 1, and 10140165 + 1)

  Total Count of Distinct (Within a Table Entry) Factors: 1387009742
  

Primitives Stats

  (n = At least this many discovered distinct primitive factors not including the ultimate factor)
   n  # of entries for non-LMs  # of entries for L-Primitives  # of entries for M-Primitives (as of Dec 13, 2024)

   0                 854543136                        1715450                        1715450
   1                 666469986                         800570                         801428
   2                 406988574                         308147                         307008
   3                 198748004                         113099                         112434
   4                  78155221                          38947                          38894
   5                  25206975                          12533                          12502
   6                   6864399                           3753                           3647
   7                   1613548                           1007                            984
   8                    332349                            233                            261
   9                     62125                             55                             55
  10                     10718                             13                              9
  11                      1898                              1                              2
  12                       312                              0                              0
  13                        45                              0                              0
  14                         5                              0                              0
  15                         1                              0                              0
  
  (n = # of discovered distinct primitive factors not including the ultimate factor)
   n  # of entries for non-LMs  # of entries for L-Primitives  # of entries for M-Primitives (as of Dec 13, 2024)

   0                 188073150                         914880                         914022
   1                 259481412                         492423                         494420
   2                 208240570                         195048                         194574
   3                 120592783                          74152                          73540
   4                  52948246                          26414                          26392
   5                  18342576                           8780                           8855
   6                   5250851                           2746                           2663
   7                   1281199                            774                            723
   8                    270224                            178                            206
   9                     51407                             42                             46
  10                      8820                             12                              7
  11                      1586                              1                              2
  12                       267                              0                              0
  13                        40                              0                              0
  14                         4                              0                              0
  15                         1                              0                              0

  (n = 15: 1900115 + 1)

Factor Totals       1384454160                        1278358                        1277224
  


WhiMsiCAL$


  primitives, exponent > 3, twin ultimate factors, ultimate factors > 10000

    505196 + 1     = 37 * 73 * 1093 * 5113 * 207732
  21816546 + 1(M)  = 37 * 73 * 420132
  51355554 + 1     = 2 * 17 * 89 * 113 * 769 * 27281 * 35617 * 521772
  26533795 + 1     = 5 * 31 * 41 * 191 * 8861 * 18661 * 776112
    402905 + 1     = 112 * 131 * 22481 * 859912
  43026274 + 1     = 2 * 881 * 1193 * 11273 * 38281 * 6146572
 103273205 - 1     = 11 * 61 * 1181 * 29611 * 312601 * 12452812
  92446545 + 1     = 5 * 151 * 1901 * 17041 * 98041 * 17452812
  

  primitives, top 123 penultimate factors

     22018 + 1(L)                                        8272632793104029078221976871180258435565133830687762739602138175797184758615420805231424676072580342225956599281 (112 digits)
     5463  + 1                                           8823670442368538245346736857642808783137858637779107506947449014958606989463673805823674053838258553233638577863
    11311  + 1                                          17982758053346979314208222167888141441494753637931236117482166530947229957500764098993566996022157684606314297211
     3499  + 1                                          50291482856324544404027093373360635121063081581216864654202148086500144195079163724148106275521673861082817129401
  225189   - 1                                          51624762619609323229944846093635738382256651887413096165441923812070163722479230726365564407533840807262336253003
     22534 + 1(L)                                       99040157415434251313280716820239683344749955994368211863632158427719479599512198147186395164895042097624088035681
24954147   - 1                                         118202330940953332866998064787626340055085303283041690883027482428784419434899849944011305719173476497561225613773 (new)
    11293  - 1                                         157788404835325643073336760508179483044043833576283755039372245039199912617460441811707720405608119721245631817121
 1121359   - 1                                         289801237362940708912002768408726402220271258231666558768393633016594883945382583888074454092987242264835563865753
 1111961   - 1                                         347465404642111419190929084225284009368912210169089255954683658838468291976138075959889956129218858290508491165827
     22514 + 1(L)                                      372541902004548758064287983975387722094906339050408099501986508348587524216881618268060714903125804422351147626897
     6401  - 1                                         402606212089069910661969046552704996607926207213794557838558383233661492946837414160194281037405566204720439825351
    12329  + 1                                         416550551129596053470920081688031605813289021279738307077643264317113328827428356406906140072746996117068425050413
     21898 + 1(M)                                      429860794274203642729227071254016328673983115904672752759934946637902289195084453935770289753315761645531011443281
     21147 - 1                                         471661056045900801786914314898846331049686822504477947359335825425991737416239736817636268059783884146105254485417
     21368 + 1                                         589387842337271247686610851624489430100894201411313704746623078014579081770395934785955839316003374952457057519969
 1329759   - 1                                        1159703684803982134871411693792703253290446512085292974125526080362743287692054490307633506661073302771585077599161
     21081 - 1                                        1439581090232360306724652721497221475801893594104335706767629109277502599083325989958974577353063372266168702537641
    61139  + 1                                        1595809953896391711132629977536229352762785440018413021415628430486645432128618812184020834380184712943672125574329
  338979   - 1                                        1903986009574720243402125379783410827510992903234493210953663860315821335821980634249858278758446053643045334747361
     21347 + 1                                        2311416115171267271884717823054782126578508622298227603146730265997685007546971775854073675433267543655704773659521
     31629 + 1(L)                                     2903775793733421216714060728179342424964728226351533604104116940448802181562862701355990087152162175898809267548667
     5558  + 1                                        4484383920632095783482594364452238478459308392932051464269614482586466544830791632111691249788379773245593293800277
     5500  + 1                                        4499887440357562679812784624619579446140036505018615101058738752309285176028933570765644073662329699272129589298001
    87131  + 1                                        4631646068915685227666156317881464177417644370550600951764967470890159407407726218210324019291062662076667636259319
     3569  - 1                                        5161305975301277308212506311431787717622806658169433983120645287083254488481027521553704399629277222751737147807423
   191103  - 1                                        8742480382747760307000631794005028106590299386513617942966930026414320584721472504488525411610859151381075605984733
    43169  - 1                                       15705236888829250237535152935045193665607917110810069116036047732745616291945546101171538049288595502021184729298589
     61098 + 1(M)                                    19293105278243610189762806109457685345150849958421861982037240004659953041660624708829265177647590033723173689928817
    12283  - 1                                       26785545731954172012083541498222514926995420384520155335872125976832022624491270145042619171968998041828057751013519
  137389   - 1                                       50366839345510990288572638632002974628157399793782034885767272148542880682255852592865693143711280191275799537022537
  811161   - 1                                       60435115091268432419921810433567521709399973026268300309736782518186865465572378911253558495130382497401902094470611
    11239  - 1                                       82851918623046843439640565134922874900828202267418202754896053781339383815475865139010283031120138773381203773546959
   61389   - 1                                       90667269484838832757904281887466089472567221237646017572049681405592015328850194320017434972062469820185570046606581
     22826 + 1(L)                                   117558983995487013031005673438079223862841897319966044541583346367847841369700180711017857799087818327444365262844893
     3563  + 1                                      121656494904519877502603905124362379497504761645941205875831210198221747342109726269588052956292905428218771513865307
  243773   - 1                                      409601608165375430497219478949915809070917706889245991553159615210845031838700822367124261960622028215333353105600541
   197113  - 1                                      654193042124933231729705819315964079079391693299068443398052654744392074475272108852801736929485096089372825217556787
    11283  - 1                                     2163935546312057591396633973695472429573850925562437339328089208815965709802705713361030484808230504878101465442961303
     21488 + 1                                     2676189998598264873441860186823110258853805080278591571173222997812546585299975500495627017940558946793814786772248193
    10408  + 1                                     3178246571075235723080972275640135632212436318968968029466533249264048115754831736073020454216579035062833710671458881
     22006 + 1(M)                                  8074766448940459610707196724449634207672897344193816568396607257403958619007953734583427507987430864649678033392732713
     21067 + 1                                    12450906817773049713795507493206926321579683414729077438820128846251329594583361100445492666170068269073831242059691963
     5461  + 1                                    12522690603932756767421446872445167154067931296381106721506866858184052558571988454332001178556637872634259174998498907
    10393  + 1                                    22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653
  228779   - 1                                    23735794727845062375670344018257843858236393081913093119320243470719459037034659821920610821124921345436076753983736971
     21144 + 1                                    27677770313028038345750797900148192240415609884205365290485726373353875777888031723996905090723042311377424248182532641
     6531  - 1                                    32768706435313302233524186154639678984952435328246572248807007270404084745205067319398419271592837789758935564707016387
    11292  + 1                                    51921036842221193062352544264488087422823511555730828805932993591274124218572848834736881111953534155623053411657147273
     31671 + 1(M)                                 89600649905844183024649914400737837586959679359881027513582034927661704393603794074197168264578475656077386376770859003
    11583  + 1(L)                                 93850981525727035993085817128723097555709554194625592312121672071626246224288553401691848823731637291887972261614092287
     22222 + 1(M)                                110206053043367486585709023274903791963832755760539873616405371230079997175325424160107759090180868237307305308158106901
     6353  - 1                                   135095261330112651830775049635590807381121031111382732318390846759744072165636542920143351738198057636666351316191686483
     5481  + 1                                   486059913607710365830032115613076332269305947462620375880290572017340680850278954192602546886507318525244009874673153587
 1622959   - 1                                   585682411442581698844353195012287290762085650033912743462068228452229560340677236105301322618243927704960916020232266661
   379107  - 1                                   682495799850695385376707245180400844560820860994122487129711190885980269778605299758227057805823563640553589274361561851
    11298  + 1                                  1548061322853195517772393593617998945703095550209105196003982729407280999332562311132966982788080931334204935403494788957
    11387  - 1                                  1890065467594353613276423378772458063165799785094455882711277433176853644982404235571668337069919265267738904326545971423
  300173   - 1                                  5295613044919131364114477955501956899090936996059598715484618589302714311617145033724363706482210871188502952416495520613
     22066 + 1(M)                               8033802336598565855660250011656151597474118929843386013191224649005528518305199101195643459094048473827432841721562227893
     7373  + 1                                 10096574793605029382985468077269833759228875769524102998005548743541463398685578099491030082977336772865555583991996175613
     31689 + 1(M)                              12577095540618888988850553281038624534004481934703074639226212114353280356370608078260653310596942148182604454548717834797
     21766 + 1(L)                              32610591877584563260288425343738846661722272404710973724427520447587686470581538316932773960545621248352363865216668947669
     5446  + 1                                 37549001091405292434020271569217928443560925429089326263311184809126147808341402156263293709818372455116963314974595677197
     21093 - 1                                 46116332943436452551540576315696985297990259869411311813222303231047196444160418969946791520558378694863913363980328293449
  500973   - 1                                105066982192152272880111479167058062830872232282860973653314097665017697299850989908689096684465088038408522535114737932029
  539371   - 1                                109558303194501545340622556522112849755919116026282420699878221877707763830469976822392439233030056326572517411587534588451
     7383  - 1                                116569563201310855474037362794084250247300134680474923940991706224257832022101931093903808795946675645628465348049795199013
  421979   - 1                                363404672164750133870551706735957851497198732401019375458678173419901429005985396193079647658162531948140035011232871005189
     6451  - 1                                385286149445819114671755703175380055733794133178426520017257924072336162125777515129814190621826650643462576089520827918649
     6391  - 1                                409629556445298210157795302494476687617240542842898234310908958975300252583135110588499332368488448518682064253668907063469
     5424  + 1                                602686519132019663163546169925452544033345117169989561683914596709175729823869724137674843406107143671357881937261384279217
    20193  + 1                                743395129164316869525665577319693817035097284345238034426961878946172470558944727352947390616022972186685505892718904201101
  782371   - 1                                991195805252635228449620490087229579405896311271751853067598017014669733748426484060077434957955713188945222168678152869079
     3745  - 1                               1615900883219779404383476619533003608196782209075484065284931141389179926789600830850697150879755587850452157515599716938631
     3707  + 1                               2750932953037433049738817227889854550402126594130438034213190459573217942494726910561295988906218963339632421720022799655187
 1573161   - 1                               3110062033034004985783292956741015661053191116827222414368849014229990109703699477879632091101319317864193797251448628575811
    11313  - 1                               3395887070892906307067528865298835328474740916477140103044829302741402380687085807773277018082850613469245973979551063972697
    10371  - 1                               8443278213142643683880850952929502264137832292889910297487445526484776400899484558952278931894560501953983650020256591767199
    11271  + 1                              21552992900610984037421982994005169690834151278774448892921348471602793731831297642695649958288427991197763014925900663643079
     5484  + 1                             122515116543117574751477696008576308350159849162039389265200248664706810525983995317855050309136882282571227567572775657339729
     2919  - 1                             152651074082705418105275481349108130060432918483467580289744030754735302146132556930363149457078636855455429731914714272974721
     7416  + 1                             353760431294117320268954849531528208466190553793961092985801934228148428601707797603816903350108857568466329236210642224103937
     21401 - 1                             971482153574976058604689367290689463568834927762383723619365276539263557178125002197275951228511800049536085522336879468391433
     6392  + 1                            2414363435318175820819331879165116728418519792562706509822994996928341891639539080237249461142305168510310158276424097118459761
     5597  + 1                            4193629298077724341984285798019889358404860893504131574220513998901742642441341212827944834812955643474025035178341109310029723
     2991  - 1                            6721885469050382920298612421830968178768028093133627640714502537112053019071272802490029644416444090606146146238871876925423959
     5383  + 1                           12294843586953707532276544334267327397036901556237777479907468862173285451004329475113416721336688277608976323156483762962209189
     21171 - 1                           12348670962833258442807675383265838347627997587940117506190420273604620443843301292612106209291538933323931056186142998412331913
    10298  + 1                           12463671098882718881327685400890631793963396331809714158641277443477408779299864788341586092901595083520271865575162918829366361
     7489  + 1                           54903233609810220334119458884396164767667946981599023989038230379962943401559779028636821512672396483711027261684955860761953677
     22174 + 1(L)                        77093647531280886261895218878026714548868599954623848018218623360980429624113850906610007804328686595403945892843224741745082093
     22102 + 1(L)                        94285342943434949471945102347340912423648148240579132820082239482940266029599405731418042749579581752853023894754659625008912541
     21497 + 1                          100826103172830253790797597386918242699941999994124181871085768577115253562341855975738306586432725038717074209648371685775503889
  954767   - 1                          198419587069018709005741733439394619363540231440870610243438773875877141801501885375209632784832981788060266555481346311883395821
     21111 - 1                         9401699217426101126085627400537881688668923430306029902665947240112085572850557654128039535064932539432952669653208185411260693457
   929101  - 1                        11339457338423536080895386151552764733346729197538001220638214271117379361331414492737385266368136031889738883535030229620162237267
     6448  + 1                       147903759551528788658827491345212063329522334335593605438099790021092303726265432747523933965128492511124431562375519583090589163009
     5409  + 1                       179425223701718689835393837247166286352741072164031120636432233591589571388940800769444701690976543908944390697369214917439022818121
     21052 + 1                       465132647893703818117961059461338292055067154933165330080806116778124618785443694805454886909011803160451450239095967685907371646449
    10471  - 1                      1640259175221723797786233348156700513564345502781851447654042775375772294825108377125627674387206196531834389323135517030822828838413
     21157 + 1                      2180008318627749177958475122877459942097368668735292520114598633345908414653401720690084471032887791572936263634345643106246594978513
    11338  + 1                      2726137747190754765575276263541652219422998735785556035106320999125098692889108866283056386037909968761973403673422043662481707589481
     5433  + 1                      6241637147741740981618471273184293996262028746119554490647312140117034401495008827086088786497184191229779873774610991168214097728569
     3661  - 1                     13505277998351921336279894068206289829524307660610420169950488365274010879719287362708336006737159624171665013560405953364074451436173
     22174 + 1(M)                  19446605523380089477468840063909034134726712431685940794309338280000168439435175492560992306551025052324865358247610907279211375954373
     3647  + 1                     38347936877300663849631416589515179236507389640965774063755337475736228613300920841654031480133039896864998575374390995075681298539977
     21906 + 1(M)                  45781261883072049946190258257819994981729350520563039610353934950451990074990279258034704799907168753403494722916566061747810395209597
     22078 + 1(M)                 142133049913536832788937080594590754168045045704604784705745562845891053817511275585763153909478359445466599137723347545508429457120269
     3721  + 1                   1608712107378952586768648741881365353983943762546189346027320536082002745785898785369819717871324228611220377732401225324935831872351213
     7379  - 1                   2169016664382654317148830719253137225885292202062526983880462299178717790878106616307051820076400678820295942544658653604308618313101961
    73149  - 1                   3290141930193563908734002150239674599726155891395077773711163456391553259098713763965546240053129429276966031087001617684889443021731243
   419107  - 1                  16782334259758430209382316596787533908419477913976454603346678008526615111822926786915308163167531159457017356893145020342143458489184317
     22410 + 1(L)               69291234161121946494289447404149151207396220841071198420817483712854828947727716644418821003812411708920023169513778045436597458425521281
     5481  - 1                 117389621693362690004547547472535913720690996085923104650994393782052623922633171993037647725909926063227614475815369750667882293067699079
     21129 - 1                2682863551849463941555012235061302606113919542117141814168219065469741026973149811937861249380857772014308434017285472953428756120546822911
    10365  + 1              209567419815575088893039502374017044565180465719504614143239653652312239618655809712098924957353042723741728874079596356118568603287093812371
    12298  + 1              985399474167468985586053601039835977586741821828650095650312775751910895251576047212205831840610627189594670456505641432510791513545079944849
     21061 - 1            46817226351072265620777670675006972301618979214252832875068976303839400413682313921168154465151768472420980044715745858522803980473207943564433
    10302  + 1           188981422179250214477885038956646476812007525220846625175628245017547495717341304519447280552146559165713534073382085460954497219653965265520569
     21109 - 1         24616019211889325200869055218181070587968640061220328510208043399177422314889351269580238737955397055519355385591659502001884424804253804809798519
    12293  + 1        246938757467190152887372271549221049547130017179272592911353149007589723285948016968701245351779300205715827774250434612171053144196730871827580987
     7889  + 1(M) 1383935292384841005422034635844427018156982031199817979611378169173761867125492953158940839353699757587741707731483357994575596276075222709507199980369 (151 digits)
  

  Top 123 brilliant (number of digits is equal) penultimate,ultimate pairs
  (Number of digits >= 50, not including LMs for now)

   1   274355  + 1         P53/P53  =  66760....613861 / 66835....694871  = 0.9988777
   2  1268931  - 1         P59/P59  =  21811....403329 / 21909....350459  = 0.9955500
   3   777938  + 1         P58/P58  =  28872....682313 / 29015....065117  = 0.9950738
   4   163572  + 1         P53/P53  =  15347....195281 / 15425....576801  = 0.9949829
   5   353675  - 1         P58/P58  =  51816....855851 / 52126....898951  = 0.9940510
   6  5883028  + 1         P52/P52  =  45574....418769 / 45899....889097  = 0.9929140
   7   163875  - 1         P50/P50  =  35791....019351 / 36097....844801  = 0.9915299
   8   539756  + 1         P59/P59  =  23126....744753 / 23330....580561  = 0.9912898
   9   287155  + 1         P54/P54  =  19976....613271 / 20154....362761  = 0.9911696
  10     24145 + 1         P66/P66  =  55536....096441 / 56078....537381  = 0.9903364
  11   411081  + 1         P61/P61  =  70321....730989 / 71020....548579  = 0.9901549
  12  7315626  + 1         P57/P57  =  13249....888609 / 13394....855581  = 0.9891604
  13  6695323  + 1         P51/P51  =  10089....134453 / 10208....926469  = 0.9883879
  14   788941  + 1         P72/P72  =  14894....499171 / 15081....277607  = 0.9875728
  15  1971129  - 1         P57/P57  =  63058....062917 / 63860....539127  = 0.9874512
  16   177440  + 1         P51/P51  =  25912....763601 / 26251....950241  = 0.9870723
  17  1744631  + 1         P52/P52  =  12259....792107 / 12433....772587  = 0.9860075
  18  2766426  + 1         P52/P52  =  21865....506417 / 22182....886353  = 0.9856969
  19   504457  + 1         P59/P59  =  41303....179327 / 41905....072251  = 0.9856461
  20   299863  - 1         P60/P60  =  39677....938817 / 40256....878391  = 0.9856215
  21  1303831  + 1         P56/P56  =  48024....754319 / 48822....512529  = 0.9836359
  22  1849131  + 1         P52/P52  =  30392....635537 / 30987....723307  = 0.9807887
  23    151180 + 1         P52/P52  =  22368....069601 / 22813....441761  = 0.9804899
  24  5516126  + 1         P53/P53  =  44781....347913 / 45710....819549  = 0.9796637
  25   449434  + 1         P57/P57  =  15891....705913 / 16221....427361  = 0.9796066
  26   603357  - 1         P55/P55  =  17948....262453 / 18327....266327  = 0.9793600
  27   212043  - 1         P65/P65  =  43664....674993 / 44629....300543  = 0.9783634
  28   693865  - 1         P55/P55  =  61868....410341 / 63284....869911  = 0.9776323
  29   300863  + 1         P63/P63  =  40180....177939 / 41114....616411  = 0.9772830
  30   265341  - 1         P52/P52  =  11417....532767 / 11684....486489  = 0.9771592
  31  6889929  - 1         P50/P50  =  11801....817939 / 12077....317969  = 0.9771082
  32  7672826  + 1         P56/P56  =  10339....286001 / 10590....685961  = 0.9762910
  33  9900023  - 1         P50/P50  =  28351....734777 / 29080....909827  = 0.9749213
  34   652343  + 1         P51/P51  =  15087....057281 / 15479....738451  = 0.9746210
  35   136847  - 1         P51/P51  =  49964....823953 / 51306....523587  = 0.9738414
  36   300061  + 1         P60/P60  =  10183....063529 / 10465....414827  = 0.9730518
  37   474441  + 1         P59/P59  =  53808....606801 / 55334....371493  = 0.9724140
  38   793075  + 1         P58/P58  =  14464....691851 / 14879....780351  = 0.9721172
  39   591557  - 1         P60/P60  =  25089....243287 / 25819....976061  = 0.9717409
  40     12193 - 1         P77/P77  =  45217....213257 / 46575....624211  = 0.9708380
  41  8075423  + 1         P53/P53  =  30165....770971 / 31093....343319  = 0.9701381
  42   803855  - 1         P55/P55  =  16930....995121 / 17508....535801  = 0.9669441
  43    13671  + 1         P67/P67  =  25960....180733 / 26864....811847  = 0.9663720
  44    56172  + 1         P66/P66  =  92747....299329 / 96142....804929  = 0.9646905
  45  8605323  - 1         P52/P52  =  22865....974539 / 23712....726751  = 0.9642813
  46  8623522  + 1         P50/P50  =  22320....446173 / 23172....129037  = 0.9632555
  47   336655  - 1         P55/P55  =  50347....272411 / 52310....525991  = 0.9624846
  48  7614723  - 1         P50/P50  =  25561....388447 / 26571....468901  = 0.9620125
  49    24693  + 1         P69/P69  =  17454....821053 / 18148....910389  = 0.9617538
  50    82858  + 1         P54/P54  =  61826....299681 / 64294....234413  = 0.9616172
  51   276775  + 1         P60/P60  =  20030....108651 / 20866....557751  = 0.9599425
  52   753178  + 1         P55/P55  =  70686....185681 / 73842....683957  = 0.9572614
  53   875429  - 1         P52/P52  =  95296....550811 / 99554....866387  = 0.9572279
  54   978055  - 1         P64/P64  =  24419....488141 / 25511....214241  = 0.9571785
  55    75171  + 1         P66/P66  =  11130....425287 / 11631....487363  = 0.9569399
  56   434350  + 1         P53/P53  =  75132....506401 / 78589....619601  = 0.9560108
  57   891250  + 1         P58/P58  =  10834....602401 / 11340....340201  = 0.9553402
  58   122766  + 1         P58/P58  =  14092....341917 / 14770....312349  = 0.9540696
  59  1701431  + 1         P59/P59  =  69126....711651 / 72489....359841  = 0.9535970
  60    27381  - 1         P59/P59  =  23932....680457 / 25104....437743  = 0.9532966
  61   972460  + 1         P51/P51  =  27917....318761 / 29287....298161  = 0.9532145
  62    55065  + 1         P62/P62  =  51566....636311 / 54108....258701  = 0.9530206
  63  1328131  + 1         P53/P53  =  32430....405567 / 34111....849373  = 0.9507254
  64  8633926  + 1         P58/P58  =  12987....769093 / 13665....578673  = 0.9504076
  65   304755  - 1         P59/P59  =  46980....413971 / 49481....823811  = 0.9494571
  66   206643  - 1         P65/P65  =  61633....721923 / 64931....084503  = 0.9492134
  67   604652  + 1         P58/P58  =  21542....364393 / 22735....027713  = 0.9475270
  68    58367  + 1         P67/P67  =  13410....632497 / 14163....873729  = 0.9468557
  69  1080431  - 1         P56/P56  =  82751....122501 / 87460....812281  = 0.9461527
  70  4542428  + 1         P52/P52  =  10025....879577 / 10625....027593  = 0.9435509
  71  4966928  + 1         P56/P56  =  20597....310593 / 21834....410529  = 0.9433420 (new)
  72   800460  + 1         P59/P59  =  10671....984801 / 11317....259321  = 0.9428828
  73   874065  - 1         P57/P57  =  10724....193581 / 11382....445071  = 0.9422249
  74   647270  + 1         P62/P62  =  14129....302801 / 15027....775941  = 0.9402377 (new)
  75  1374529  - 1         P51/P51  =  22275....903431 / 23692....841657  = 0.9402000
  76  1776147  - 1         P72/P72  =  84442....786249 / 89854....178989  = 0.9397771
  77   791254  + 1         P55/P55  =  19142....448517 / 20383....259997  = 0.9390930
  78  4611726  + 1         P50/P50  =  39139....411569 / 41680....318889  = 0.9390275
  79   630338  + 1         P66/P66  =  11265....241073 / 12013....947653  = 0.9377664
  80   650460  + 1         P58/P58  =  11997....914001 / 12801....568441  = 0.9371925
  81   610860  + 1         P50/P50  =  19263....745841 / 20563....958201  = 0.9367423
  82  8501023  - 1         P52/P52  =  11836....371833 / 12639....215409  = 0.9364791
  83   118447  + 1         P58/P58  =  29022....171251 / 31002....375591  = 0.9361396
  84    18867  + 1         P53/P53  =  20992....230383 / 22463....328753  = 0.9345155
  85   916334  + 1         P51/P51  =  12027....758897 / 12872....564641  = 0.9343094
  86  6076226  + 1         P50/P50  =  79102....198429 / 84668....688461  = 0.9342614
  87   677659  - 1         P60/P60  =  20420....164131 / 21886....523181  = 0.9330238
  88   430469  + 1         P54/P54  =  38146....033699 / 40911....785831  = 0.9324165
  89    69981  - 1         P57/P57  =  46417....536011 / 49827....392531  = 0.9315612
  90   158241  - 1         P58/P58  =  88737....629099 / 95286....964661  = 0.9312675
  91   907453  - 1         P58/P58  =  41447....763883 / 44524....377239  = 0.9308785
  92     7271  - 1         P50/P50  =  41044....783791 / 44092....869799  = 0.9308730
  93    67449  - 1         P53/P53  =  29465....099367 / 31663....966483  = 0.9305849
  94  2290128  + 1         P50/P50  =  52411....106721 / 56353....667009  = 0.9300518
  95  5161326  + 1         P57/P57  =  34463....829789 / 37056....333477  = 0.9300156
  96   567669  + 1         P64/P64  =  45526....041751 / 49080....035073  = 0.9276046 (new)
  97    581105 + 1         P59/P59  =  13458....011261 / 14513....021911  = 0.9272968
  98     33177 - 1         P61/P61  =  12059....436879 / 13005....468347  = 0.9272594
  99   556163  - 1         P50/P50  =  10359....350899 / 11209....264293  = 0.9241661
 100  9074025  - 1         P50/P50  =  36371....669401 / 39374....090601  = 0.9237270
 101  9952725  + 1         P50/P50  =  91637....910651 / 99253....027151  = 0.9232699
 102   422741  - 1         P68/P68  =  16802....197479 / 18211....624819  = 0.9226351
 103   565532  + 1         P52/P52  =  11070....409601 / 12004....304769  = 0.9222137
 104  9158923  - 1         P51/P51  =  11946....202551 / 12958....135437  = 0.9219218
 105   306357  + 1         P52/P52  =  17269....870571 / 18736....076727  = 0.9217176
 106   762675  - 1         P53/P53  =  25703....038201 / 27905....400101  = 0.9210900
 107  8982023  + 1         P53/P53  =  14766....249269 / 16037....797839  = 0.9207802
 108    89553  + 1         P77/P77  =  53605....583267 / 58224....948743  = 0.9206574
 109   108770  + 1         P59/P59  =  14394....223581 / 15635....696781  = 0.9206182
 110  5437528  + 1         P50/P50  =  39929....358873 / 43372....903393  = 0.9206010
 111   209737  + 1         P55/P55  =  70407....653317 / 76611....402309  = 0.9190249
 112   509749  - 1         P62/P62  =  10885....976099 / 11872....848669  = 0.9168660
 113   946341  + 1         P73/P73  =  12044....288029 / 13140....314459  = 0.9165899
 114   302655  - 1         P63/P63  =  44460....702891 / 48528....697691  = 0.9161774
 115    34483  - 1         P64/P64  =  12809....741833 / 13989....694921  = 0.9156528
 116    56793  + 1         P53/P53  =  22344....430107 / 24432....620819  = 0.9145304
 117  2302928  + 1         P53/P53  =  21265....805017 / 23276....103673  = 0.9136280 (new)
 118   515775  - 1         P53/P53  =  27153....181101 / 29725....308701  = 0.9134731
 119  5096928  + 1         P52/P52  =  46205....874201 / 50587....430657  = 0.9133791
 120   694741  - 1         P57/P57  =  30040....178397 / 32930....133361  = 0.9122383
 121   515554  + 1         P54/P54  =  66233....671933 / 72605....372033  = 0.9122328
 122   396437  + 1         P65/P65  =  55762....672547 / 61144....154151  = 0.9119901
 123    104195 - 1         P62/P62  =  90205....357071 / 98932....777671  = 0.9117863