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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 #1100000004825873817 4,018 digits created 2023-10-24

Value

1562995103834032286320819278439691253783547580171249211166864833941346509861912873119946255913752071285457626443699220953442506123859688605833781989776591352277582264198691113175030903262226680198997127113070073361229554264317215816483991559456961515453913926636511634982939312916550195889411082261834989900437909527134183165379997140445047719756725996037917122537724521826292245335501363527631268911017118217575559245021963790250603084774806367992799389450094446496688415253273103553868096415329272558573247949832648670278871862604024497637174469925451098492009415390417565875723676829726385849899260245709914915916445529396347206738910673884896019446884604742822774502282262840256268814526361937006051571921472557256867897653290954787706766059532765640131891415007863577101619323149356563333869760463380525879983194913929914056642991932416054982901471842072645092543190978412975407953574503126738074835619373363712760554658615168315628790464103172912994850203028804901463475943560298001710274938402220514292740561569784158754448312549404404981006658059463998486758767634750899371553270826173499357599341459061645565175260741315521449159149304588086169656873850779907578530658150649753880983943163404653305701630139465233723296983065900677350902099761797232542036433743530339819471184641894187618553900823306783263640809728649719356545578888123423293994699697789462057380925141815397659061745821681940929392101020791978956840910428016761945769243808067774580960384697962246527726948902028370209288880359962119480586979400490605686200714358606298176668558491393059906046317113703503807538746980944369035778101159854386100201658357542348872643500807364443537024219417929430161440224737188140291756428346639173414281488035723377371503930341170109484437826057640052008036703000993720973382695258264240999759461206902872775272046590989190138379101946792359070498184775605797408573957808120119255891316616722212533109111909319861441602458694689578414854255157083862192241003963522693071353782462602751545469670282479663340259520238842448779724255737171581317610611832669391747754851780434844510539782976552800293852446899751792692060752069717713774274176431815533324134528470488690195207921429530235708633890881801407622135594253244911211081833089888184863333547979365794557592470879054096239270037842171948646753505187826993394299401930085797774309197163059430622419969464773593910578306705335554696844244835211612210778410402735565759317243372619177888322849444854836730860417918792609211180980022957752061901311359948724858232429240873158486536417132125785844159822365348771614955875083953885380531871301212587713386573813717227639552666377325316301423381686947524999287731904055564156619983599110661412287921445304944875725798656684752573967468594818597295225158122020677073600279600962458379181484608324695924599636296144811709623369686522128661364966258781520739511158252059778223862547458481963641886215216078549714372784990202232786629867206296289585528261488971475675729429935953342086236599575127830907290263097662552959926165067483357249601464751750228315630159977526938456340410693330314344560871514913700741344800091685167696450916096696816758936237415861043580471776183947578249582474059794724086014656302011673591008309390987267950138332029194670110892920205995593296899640609686739185573569809323421353400199610571464354297845372274321409825912749762029132319806156556056160028749579856814335216272064015878501538199259893717122034686860214037896492116992729123788455921544898718852210063471187693487811000705284414525197780376159316374040324517690742990143596290853559281992249709862626328956587907257176035217551799379167457574874106227959011447773916719556008258851512864667234234832153895283428822806508317292980263286517177190406621730280846101316633578896885824222782844316094168184906770194773366950751393047694447942556999944841998075438430129566590254551526222520137559682316051222580692877832796127070061188554084454411486223858656141230695818569099157498393837257260356968398033905200354674374571
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 27 of the certificate chain of a 4,303-digit prime (447 intermediate primes).

Certified number4,303-digit prime
Certificatedownload
Certificate chainshow step 27 of 447

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004825873817 --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":1100000004825873817},"decimal":true,"detail":2}}'