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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 #1100000004813323699 6,608 digits created 2023-10-24

Value

36497158438124736300972210313743877521917057339179258504624909591914270913033292017343911641811265863589618982572814711535122160291591217904639450424122737730363632842771392181470263906475661211816966864509885716412652667976639015288364238400978836029219815721832414579340301891555366030879904180629734633409511114979436301970675618704713404983358776329560524115412599929296141525103569297385010920318718454624338573493564041382771615976225305394051024551911295439007470051923795073426038362388278880341867905967116057321303186346713485170297088029805190045308920530409048752730929520101853754938149847325306437428247022949933898316996124849749862263493773559504618545547120588981573007562346028106789613873612242933539535998959195309132250493799962226963911654620769570209016798799726741101472064648231736258015848350530597767048150502259094368195845123278454997418213622943739649480203265275244379593958700767828013112625065603617513958486892761127739793524424192730016131953263806074130038679810359337474685945806398405604476079609191252883865642186898420540802856541050837986599085796748110067862905595823790516155827097972138377027523500282211963000156670811767319220623671925916523057356908615876197604584907972523669357236571008880148119186579536409511449791235877922996273007062841143583268918408386195698201767931008305722585221557988833549969305329024392437102605478360854165077994348559986037591662197519985365239284889022820300240508769121222020917280407199437586106840118151746570736913012498572168569845048601387456102488677588118229641066152973910800800398850915047564396139060926621947025543022603108293195987358429162639323276578854200645928154216661611564782371500679757105760683341438933401603597247399119302107564793762819781991379403065842794555282163338544410261804985937987972114900218376921781273169876870207486968106720744365878734045366117879525245287774225554456843836248010179464174113358701380188745662101733262789374386005286716427745699005995412329586744098293293275887304065523338214023898910147000147809381294197873181374828513084081055322545036563550176305944724790140777496913902419066291314132510351321026418657827576329063146488793629554964289096348734742432291537696518728243392613324400044626601317379456405555964585152623469456962496234932448104724130602458838556005667253369684306312247799765881942140878007663169808856796903247171561370089120088705986394275540132241964342772820371771207282916089888232573217852221396995740660216287358501954114281171141592689341460522635740851363420228782138203479827800541943886276194648877359051472785050547932638433543072370514583105366680370462564879297232175050589716331505169704042153858985114351425992336114630618307460311621473056678959799332658107296078715967986606825019800071662450264629454290904028880096421821991998433704095978977673886617082442958646079153838789942891455952401529101048580562823342075920338174256077410629370835788042973679734351281693839589328754085275831749885584554057676701154502340977951926022005320489070938264586489368040450675687845804096057829632684759534422039254225937863030671559151769117995783579839559497842729623787568798900747339689392211478470170700653855395734037973936573107840910700426726709615332853777498732617764508242528077045761362876129839533855252086411108207220275718795897092307181237704081154244693171518815538764832533815241072324270839058433819907547267034262241010530692029202672622443903177281025611611322133145127362217646661523097066841710086901039338536971809389890151752962381131698669271435382528651639644109552387171010828416372851196777730035538985646505879170626525540789613725506835887055187326656495479503580899138362716617767183826188426903259811940267733786062091426629581650633845997973621325401030932155377452248209663775482294069361770966008610096711245687916954703617879977018593285335203729615255357055089933178609703430655260798444257752368999110864307176864265492423639532846498975360228346615040736844222053092124304531469371181155172518245598537049451150802725662131467499799688374159004383961324271670256895207960193415290940715568219572336662018176086654704697094340846013765651510750510407185356691762276489231545321847974732096276870181345646760687732244095473321002497314861950554341449313060586930872737152915408248568662258457436868407299225313445413242068321479647277087944324436473421953656207365811519416635067812164326310343632512237339297411357791819576613301992931735326297930547501363539287035650720258786387309100705656764233589430089873520465622780267330467636811038137811515875897520117661465966607820585429669796989515882737692511524957238082888748275213613771146675468891123679515402911606236447389278411186915862265770839840410642076952520652008901538137511175809713996692187158580271570695018215704301477537554238186507358787320928434695903260244310808610735988642391326673159109907987270347141870044712819475791214374962147583851952147596220057337176770531662801432401538527713191826271226429384618293834832269594037700168663143569971724022979489770467605637140910144067029224458976000352118624333989707927379618764850976613163900104718036742588347179092270338773058117900892510448968442534670764727882148402657303336661399375084572706271193953587173225415491994128247886787508872185980130261413935779755649559045413589278064113065992732823814583813417477020980389505769653382103745215830802219446088955968057041397146938328263237675098431356514277263079431756086649693923793111002198190684625301054206237425895442178795940327355808816376180490749445618963312979054751986135534030620798088370520417944417540514288489505517107912922342468827760103338446667855964096296871593578835558878948525580901265290439063452389153557160836624772423375728936662170444773313661607514077011866113543839286236754685022227785093322586639786819430885993104638657585329712448085207417721979059482700748097172593230501001935264171048418612340106710960584299994020627596000606672271681985592250335731546244384194027130158695003864882829920504258121207474045381910743577364330744405440704783656521183404198903197200423992797255179127075194871509076840655652293757170333363030759830876223753866908522657854390914488899358672205252072435678944212749956715415569458083355416081299956102679861637577050318692757956110648554498534803040468635386487110238699561089380098699686471111751038518508174192258254912773233881688124445423065563854086057000238639054002030117370440981729665373994103025219457005781544889273604727659734105294747601561553636075694943204905586172719166412217051334934358859581428686192518025406055221414471473625203173370514643479
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 6,737-digit prime (741 intermediate primes).

Certified number6,737-digit prime
Certificatedownload
Certificate chainshow step 15 of 741

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813323699 --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":1100000004813323699},"decimal":true,"detail":2}}'