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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000004814906432 5,154 digits created 2023-10-24

Value

533656132758893674924862211997118064547697235158027361938676610149706682255247714731777690000311058641453537121416413577703710353211922492855453290431155007060053134959764574552063570645101084108250625392952262309523504657132994500493862753775246797879829127324947178988049390678304963832743949784818223880597509059454067989256497270449893129175762916858331519206547754766551679428414077062913206198277949526447544543465873633405848246078041055798656996146888908201183074237189580217389075773251302814287366736414540138469887116248654414898962625369163735755032662981142922957407415298014265824719110648078515910196533721380455873018290113296393938407441507654973654839545175505950357534330782336910628581243229722498905785805584953414877996779586336739710865933064989697510906128169503414476827249902192922456922098989557232224931566139516702488578379170766071509644639912975145563934048153215575819022742383814261335083189591149564430095809135030996837783003636248472650714007878670545519593394475029687149503783083230907446183002511959592206506932747620992889491574526951295621799716691523507617957610781688971673847471488621186718376981877929266144838900287059955522619836472247414542053661016654998411978130655284275810046438928061513833324601779068677634533752320460105327929028103210935073817217469613461416701765276934735096687778528222788670015419775611527362253343791400458142494470113409542939865816953744962158272016529148453278781388947104694774260623130524109215399021649771572130971979261728069513538039599096234988094277282714711412949008858386378205881998868327524124691387989443591644189796265497891259778275668242899028345865189948711799923666724797044215759988770960812229931111804436797891554568931946140705613071995849804736532822042941012922992082965624226835601315601692432598460259573159511422787656219750505260348754448591767949316163098907062074727998432451044881731603408087122825237687787382974186251203032931854692334621471243310763513963567283338579785837913172408124589090566942661620081291570387584039346463200879041882924929648269212932929798977513342971865872235503516527025612866785837842399380761735819563303726473470382902928313170943031278975359402857331859511083525729465787916536757984365619105262210846945610854939368169493828688945418993432117634395005726605496878694000813286305073826837086997906638487637909042540167397180561549988161410571106100834904202132756468914194716017275070245437170470348852545981598019020530006473058098034053853837544807906953132266072081572996034299255692391103286891444924529515093538052082766546469179928688337230837064839816163777475984958748529090437057328707152503416153070114028410920879116384942223878069743382106070219187368227117158266204876723711079299937809417896973602416741540726038136814165849606726582333770777479136362571251822025491499441246582674259885477840250742902473676800519548846618335853027284189886882708546187589146435594181426460429098185387803256155749999033137500361955988211610175523543011876946966590500655670706690638959920669707719316713305575035778349003036047706067198764073223071213200925757397397341052148973549412874784266964709810235406263115587666090839973546613999712392597803382212075325514845536112592091882377619227158181117170916262970751808517279799884302085532262252645769750436352976826285478702261572320642071921429906825842743526883780065989043860261185612742485449069593429562165850410399295202882999563572084690596293534180799299134127102960696258570266969206030667495846153446597182756360776576629657307506625924505634571628936213680847660917352103240428546949727264727432661376617996014723925662240034674534485999671949185685408739719112765144819822064921173992319769587443481331123908944189103128562259663747861076464227805723006897748462120092793851819414404973642824124702667510879198266671491081110128285213624741810857850704143414644637640388380195580159130575531433706463730109555497426767254874748446829925081090109134845570047605806085153688632450931006197650589105597045396371763591897235860760303673737295212482887421963499005055942834470821541302708559278508156288127120233893623378773405151370125142898948019703392983476251821847205599075901342521207296270169774345889691395329488873881594994725963954436319212205317441757944623048160290836998347768928441958361696512330588568073203059508599275363141092300165070314978269659814937322975360246075864228127512768364114325605887353975781327207804179821223065596941335247764142313432462697444876550385482960481642906008458546603002165912000742907475473952061746487451615715654015501685785805120173058966637674668359914770890827750392858927084297793488756125466048990226415986268480345014388678817645927255629445974660992858623272973008899139116218837620271426241941078637627041889338755524470583266985480120709441507705402025138653318597327371060283405810820419353223056557449488260975236590889863483133229417301932817798650859135456848687178888691035020807717445670202212177003943658348306264634192525606289040534379482060585732858263624467797329384481538676348436722778245585801905592662428010447169803236959404556293870925957647871040018865809172552369212287253639
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 31 of the certificate chain of a 5,541-digit prime (567 intermediate primes).

Certified number5,541-digit prime
Certificatedownload
Certificate chainshow step 31 of 567

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814906432 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000004814906432},"decimal":true,"detail":2}}'