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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 #1100000004813290278 6,110 digits created 2023-10-24

Value

44522416456054603126185219893945438917969997990988178311204998311242094897386091591310152892753141138864543380094453715125863956514794232730741052785979752401701884297668994739337571976630186827584526096117014793948539172003103479387286580944225112692116279216288860140020988090815762011093078879619228290139789067969549555346895938929741067101212302371109354540810436083777562503745952959875662575535311453285516894840006661334232505463683995963008166637643986383456052784991901339950158096692627719375598156204433655815237622022217546121415056667818682201081479564358259284552708610392818513038131601952815063233413851866104108525606353168244305450658179926083885511873936109024341252108518368664318715893837231272856927055465609924024500617856367135342001393650518509725374422755953264874016912906552920131279238373316697876873428662721748465463008898676073658189972204094088285716737074884929547063967895682339546149599590371339247635078618844860200147290002615136156147009804911481017626889274261026124188033251538559770554003640131052702703239514634141038669208114015794097161886406744355990567540674169982014564215401314393468804907124005362243864914586688484742412537180825412916162288189130455374337613779748260576639719484861953630090881252469894653555745625755922468996358398265897849279051371431029152957723131981496278178279711148492057683921358500069819158208641989442289645664082591641135680112318964286504518353674434451406935551355234736303849453543365096689932636849245402236691219123310606116691584111202679336743774544691353627172826624504231096923998106670423128453126375937196830844837024404261898884796420353184598264680077590730151352271970671779175883503263784361508358674081526049785565392744152223977038409407316426059783737760775130387268019462556082530819086344329118930724699846932744886899124416931787574801979993408575942691720962403643036078783625109788313799587171721253838620783358788354899563386998239684569735531822727755277339486619076067504646453086171729730247843954286417839812601391776449033308344635698972957941755546895206011252872457572220291354963454532964120626616175763609482947784620705794985954389317440766788630875333356602644314846840819700373409650476673487802619903629719302992120054277703331070187884093467193799060677595943047807334566776169821342587436671524331067300352722599917840191377170311061507347953120030612415699544623211651335530382809369590371433897891755135163509817874521777744285615167457756626653698188108972241588844277334080053750529559368002018767695890236653730091928730703123492768628303787883414990031341331448927861654409796472956200265300393031506325723135692007743263453818261136914524251067407071877520698899796348855747983382809857892492901365289179750387798112388743812563011927449418874552946103412011871473970518941335262206722445112067843547562108665994710989658151475239692692439836748015933351526524761738544939869945105351025078476627461370473442299380175772800024571257644988703265307593282444484480160168982921360752967548021519797546486475332394896018201255048000041467365957627902613088740911340784677837243984564809795144104262979557843273409548470449146512450779408312773819076051686410394367881029380850203111022312740669917233460911371830278830354572450851727938895322577411379682824071832839801864527128378545119634848356068933130074617644455184979634211881407463647879284138296119999913168703013069153755612989153942920828186970449010153534303307880852410098241499492469665034268603277097057918414697389479882276856995081379497223143769007003649489305352475676467912846435707099907923761234078257275324425715078462018414950322065509907306105595888245975535955894535370315192163246262965348075436267673215922354690871051578977764285672479475320185537417500431556357805731159008704493903372144023492449580952329157795721298518444326221553600612410437331363398497685050030814015438863610444785116751692239792202894346150155792561251949750625655130987205129229161569458711365351439187953692915700489529767566615674667388458875140205525730113518596164552667267254809328271406453073002955991055166097776737469205796397331275241755480179378166137735434903307362076092605172570555057650418126389424050637663251994895558299707794453771142211634612955422076022064475176324925859092929982145191915532379981431340390417608052628512774808447290998189708248510180713965501296850595116054515900404582887005053133279805238126963836505876218202331461938496148553345928762567828050689251526117025350270120656086125520623857522185149417379860889853493251024470262300744568422081567826757024269936630864177280005877852040943701182492439501867568907984019323379754550985698651544436976504011670371876040439097722870241052662556717032313112926710203872355287844409881828012539821166052356721256977480148635089003705720713312341586899789729001307030112773030325090150835341995070494078366421589055802850680823377290543948135103913629606997904402636591318105713073350074481028533653889888581407709254821276056991093655979957824032634029477055242460799953280205150880414754009487074349686064250553086195268579579249156022428429968950843492325827309876788432552709408806227541332465214145866223923208075898958001129392874152751478638900008146403249461680094088381854765298511137864038652309611685363882763578052308605626763189705199278770703978613403905561164623768023571636979551149341897555778109364943942237615562000395245783181827874051887556052314639870868456301863056802313557820096918505735410398372803465070673027417841831465340799536519879105019701278030231862668276807807504986874671336676657753212477068729711728019159406394162976384349906300457083573073627044377022217381850478669733548033154229917374488974827782831817131036274768312013427247868912266002058151439523998961341977971766384339640248373696172710322801469219763904782430709926898768889822901088197115500200087626449544660538090379682270700022825758747496088074222971307476390119663731332029733032540368139648117137854332635463180229143632141678809513195665103860456913737477387308097801966950518721855402397162788668550402276263051013518091558842929077258503597
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 70 of the certificate chain of a 6,885-digit prime (753 intermediate primes).

Certified number6,885-digit prime
Certificatedownload
Certificate chainshow step 70 of 753

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813290278 --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":1100000004813290278},"decimal":true,"detail":2}}'