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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 #1100000004825278560 4,229 digits created 2023-10-24

Value

20200877568978162676942719773547803129040403606661617443881832168839126166246453180261141285591884320387639312073617402688519540907562964697947390915878630064511746058766212323025455047401280577914296157647673177431097775321350094147132881643233641312053922688016267990646700957085812729263617201796451866222039181054908278068410721385751082551880017876629579230387235141952452391879731690387172758100802665916399412076215330189956170132499601443083019831229230987619643121734875778856991844322785367917703451173209807262701210454422595382610482680914922461261382322558044938655993443767485627848138650295805310184137899735092666330374441275671884828066729062399315805975405160355138540173464372987124317541161724942118664832217471918415128808398158521119500372501871712931505040585813682417044338214453964195127374668171483822870902057396181392940116006843436951615413739395034447116324122264695313340958986816247623380378814579418481684532199879311538390915293643820273801788724669378543541855809148916862414357894644722459984850673411519733932625632833701937197726253621436527731472514445552758735139395241978488749275551050740865776551226123080665019731650292021978081037682720149725245268378826429065036236679450551251306885654229174438626608328986824488952190065762757529549851873680813092708476313263867594417178360599008702631254023773477838017282439092815673343421419973302116723440318528900180517994685404926522997635956575245373768010027239189422986382607633092572185037390416421190123849979754000352382718857289991128198332507969364069835502153232308655371209507973218869861620099426227375949203550750457967143516467552800661992809794181093403640813210670741893565150652287718937161914854499701892803221350032126862273200695209482248168641190523265431347754145570611006725569999892753689770266138384859112446021505151832335507522348427706001407669156762641956229459957988295539649469725829314996404289144831191435872140506624115447600923505036713149967418222207951486273281853540703064536121525939508503731885219843861712532159483272098358121792909251534035779538015662227791840011962419470775205047291183395167633278992657898441739090738737484842693080291627628971165800204763719652146759867721645048116413015350627337461340182264228093399918634892054039621073041600950798620459488791209735509185472260401608661739133981855568801935843728401236430347754288242295565348685632573297075831947353967607814343762998921923383554961902057556228364213003886457702445695091037796970356493358610905144585231858006927296410393226609416818818488178811611095414296708367572398497542862492047405149171223982707329372879477136779163359462968071056946339647511383053128388173384538390739303314046499354784776374641271281843758138014187359017440699102686602015119265500174522619396180952077993782607743275020631647603470323204269148311217268016136564412727258298526706035218116988397920871992994170635086361848023684941850086950249272277969725291732626200483651610967190845719234196960679197595039014224087026482672168248651579331942056589546413752027180644104483106294005542732423123556740306199902570295475563646805488614136498834838076454902910510397877477933895604323384146963908433236813407619189987792761672652949539939764699519952105578921965871749882152031199334940092652319282980785369946533592834434711429234468903799824108921502088558453221713559328501508259583041131974472437449310945937405730972297791384352891047571374816685838344341365789016344160485760322513188696367420893726891197201567779262772706314407608831786006977056897249059526956791042252007881069133933294103607722517680059214314005083666212981038766889807152695089848438523262460518757032744234611393704670362128917572975943450786612417690643978765974966106212903957503878824174495401996125989895558128461104636776916859728594088957036969819664411011858578901702892350227411845413036663273516218231607403558627875336603319608855231280053408179017055769538756687127482218952961865004649967167537312202175962341843385311466303965500014563578978587816553427407735594824886192083462594679151716475490367330194712504302296554394366989640312493716261036000659347553303960283442390493169552695383483319975450783764417687511151445644619808127947352972782093941219
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 4,342-digit prime (519 intermediate primes).

Certified number4,342-digit prime
Certificatedownload
Certificate chainshow step 15 of 519

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004825278560 --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":1100000004825278560},"decimal":true,"detail":2}}'