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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 #1100000004814161366 5,841 digits created 2023-10-24

Value

509780792495830469862961871415452527064031355014126735074200296846855965457526583086050461128645050794014917787953347286643608081929277334858187396313106562277392096884304690597879252151632901818484995143162493103850372880830210173830619904480526931287015460712134505400578176172846037543930584534277736663990140240776853649784421114371956337658503216870253177712842293870010752789127038317844094734738700461096331416967803907643201636270651169056123277036698640188410431478309399655411262914789178319031626737257836176735138079554734195870328938066188830182875585770795940198023412836909300468993657239600746171223715695869395945160452993923765019166372419747612873936846607064571646868764052180023830798697768172650774557292743772796447366735723158747566220879670864144439077936408112592970430743491720749928646458460032048147040706425695519837972672399440755659605184969417646263547733752230081114463370103094868143062204418770151387622681451120350980319988140626449371500533524698575893018323333865387437712847081948458383547804432094940971740395136003972316853826435116788641055644157866570686514417427624062959128413293995577491375236645043210559018902809083381164710830543159953333026632374379376726974606860991291485698654152049049731393447104075749812601021437923277227024906418748387784971382163982084236326938148780306426680627838609260504735186276013199071453169512916914253427583045110630733137009422721900134493022609652269036489471915456782920097824763235213634035297985428252194960990594489183686617487026348689255840603485067749273922710373694488981536710649184450315505991502944434558034859714783899107937770530707799373400388271264168581735571018662709513087501549134759681359943618305464149750122567603593810811466706281320830142427604513622510124533242398758443162875470392614378738694975644171445718268370130416872820709683033507956532606428176113535028548786854132379818604410646425983160460181047418712722630208401333868923025146026206330204193687985846825177485827395372813252034121058169422365669016478039500904401877223621341413117809927381442185509062710808530192647485323683702243609977768698743432364120741531850998044644645601413770265899531481607309536248034023838726164111783897078430429517756844005963757173598077862935768834294981317988259607303179849052637688861792524276343843184850532429899816314953339435694400602639615239739503345429334422943523483009976484727567058934115141482122197209343592901689639213017730234993311389015509973849228369322268899161975264346590534841311923394269683115005312983517796445602621784627167507626539499451800342697208167043715354205270077399873497800065201045288637618731037433327869441024851524568113237572894876467465660194094210576144704388340622321225589598868774269743299087358438686164445601376210467549158949734281664451100255985857248492170523863903528011515783819783511250850761692628694100441327883727336784889705369778663530612384278902712660723007759109881409289917155735040052122776810945984201431505404984851113412697436016367865636722624725881372489894085767988231443507050090914092025659120641152096652095347877584622468208943066267148983178640373710494395677791616216768941942150986162922708224458799332414431986285286930192095650739650616498325812202828448193368027988307988710451460855124351755498571213428448230840402132645436007034920400730135664977347020807121796368179965850735981091438979390959799651131535290957286245683387541945814066007875956845919781323362616352933973522054498470303508297934946406174181899591435093080613265316631945267616112663506595454443747590542441907585948366023818252031525132841452901687590725266071445249894820027942446818959574933722749060012913463080382433775447559416925186297511052038223054893823911027052609303929496884043261110621063564538120014568460213904887083507445440759806888663158132368901391510338536036535242696900928049373266290872257824534161888312552772937651636542485401407017939181460113399803690160012160367313384019302465081504796561611145840328695014075110921600545143332490316279999881638551001619561840406821787129704059325293876491310662344091398776383827555886944441451176318849585466500115398521359106481757144260898529881035652164660059184757369902874636147738622468266547318125979621172266572571447267300688838149554985065826006451470618689228172091352630573263175072490141096004306573792087514460491327078279439927413297218825454314637433068737851287156464973945422483942729354616242246250207769161806442857727176190546248480113869399711229366753062311076248389154396870184279702706119131206237875748421872617583334596345953832388764536528559934400896035906481097981652022245857538676381834855397922188562180278199641739782550486483669636844535727608154677872789385383889796127964730848476955577612269343920522996331653140642028315574168980528662069596702013100731467989753510820302670424798712695446523509650205741011355250532828135914024425603244557269695023437821709087287833979249122831632804157416773003645731567629610614480406595368029274952934429958503262310568631675022341738913646109971318195185122361422358073132575197792360094307115817937932040109223692489924389617875530969915178430073915855823386630370968590959507821217662960452999346949577884836307748122757751929447067384980393907086845399469913884546707026088147248136975840834697554465875723078918077530728117519643652551055402110322997189825766981875190028081941207449385655206248502961578605614394250914022294512931532596851839744640806733033527330450775894693058099892194299379178690523822839296786964621797992488285539207050343076694296119561571696888328733778890730915667123755707558452844066348861646124639754875756570461553579644764710170387809360026382032613765773099178114235253582971650762197230992792372426513628151146144723108621135540438581619574546218650891226507104957107641822468597978968349035747303
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 6 of the certificate chain of a 5,882-digit prime (611 intermediate primes).

Certified number5,882-digit prime
Certificatedownload
Certificate chainshow step 6 of 611

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814161366 --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":1100000004814161366},"decimal":true,"detail":2}}'