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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 #1100000004814011689 5,281 digits created 2023-10-24

Value

1703840335147253999468229627388911300079472733616809525124516468544427728526897901704530044464220084325393247321262101943159791445845851892705906705404280189590410803615143026509203663300431460391852636650633963571148385418235717805526836363543400493835324786596826504882606811215444419635519360985510064115685623548942717646230080096360616966417596925289432438896541667123588790741209317634701733877239129439425447372338692337164668907216810313063908045210525227932630087828430129619319164481204417291992827661300349269188743464343820395945101787616066150098047290781312526944865375169567805786185952096184106539478394308810421931826211621225021974256961012960420842951139952817372999786015393591906099219093884058207106180108955280528416013046496498251493996292446499745672431991864805852813262575252972465056385841949801331782359104848286808130466386183752779701582420161397923537447551316464165008511367775562341694213216044883328405917407511331380732044172445638596166608436102176730787716101582970619170827129533576486305601858458723034984272480654811742545764823538145162754597872042903736463350257760762108319198256658407188960165842421369055562826484255966406088030552931083390758861432504556828123703750998977322104062601408916550981377861800427592519249529044706754976186452658550879487243293294025783682355262331088401229011071020330583119007494452902187371344659934942813270920576831163347285940786072727188076178320965884720643304221235529498925358081987027886768214024896663465635755145626382660388419899492423023448214623718495934753171776246539638107491726964261386160244857004800472588171407750664437098539779375490815891595076527916172664022420417144585041753767900349946902887820606888792756610864494476861995227439866026094144234249711946145223393639335716794995446535545882290067237073882794129166619736193718374714045606038364814727381274308576318036971398809648813602594211220294294880817296035616123670749115199939809747876332971524250378017483715693945450384270863949398939484901746721213627634423422375171042070373667202719599228466288956978336408090164835542554838533074354267614526945409659502295975655375801926623994157228166256563633359661963464909108839389348722064982042600848902639316064979048761364030174333935147151847625083419694624238284963852066125475305753483304977331118368993074938309578335932433831909950706236961005355484578354348799049499452267068872690369425202323731783052125206944178185692966792632311414544058553436129109829879459838427622350826676794387236842031121606135565547975910661851994001269059895535648719184060970854684386299710156699695953769429254788630703745412063046006395678577266149659154723809478968123797230774849648831343640513642085012527814447330620606703959572153573986167458275914369859375021399830568143332933945211604813171060117083984066355438516279944514119935690278811556185211413658736629675971637284513566571269289968367817474144673709401034477138319986275817712986478919557238662494325549210316716269476484735311242710938951848420959540586857439088334420728918729944697403864611243059761494845023324961707222316121929232560094450338274237847514660672605285610027364748552701683536870375452501594228271320602639332647137456159512727394515969748688147767646206591850238436138379445345818168251626523452531311372026882354391218116593020386995951096114924666250520484976056348514831367047802482671193521468337118161770865588322924862670725976085265491929791338245223333314611237613565728392323169239000277996473882196601385139437842989298427265575292549626727102353537327539510240462884480845230560645483996629944881040098863281252733298529863267530188408811468074798727539639584109801214660094736883652389009584170316632785773356930666367447159189311326196073530966237828092203647089910152122716052108685876057953917755745820136750466918859028856038812297633904262354460351146377617942713313087372583297662706011497087629977363743799217362247645385237274281069671660548511689824491901002792118291852304397823376878031528491298216237287937677186328278903991020503181703906140120912088204956675147548067213355312740532338322349694652298427599484458258436994034936764969798168873839613419933896499372316402469037775580585072525022934277820730533183404770837262092137249014243706587326330099784147818339066165144546974368436768587462695403752046395305085300366273495319051732450303344979303023420035022616380043996520906266900510135996572264006598926130965849511844722207911947686987624235605841856578956325410382012215023286061764218994925033263965425460734488667748526106163012657751040734898223413037177887386928435678140304881385679813805708047604057889495584330527364516452989200083749521448991815063728131959551028465962821100462910949035078643670350025282475352404943744343178691456440356894790648978927477794596661244922867216704414152153527429175883738700132535576271726382005572922903325106283685864844434182655842986614261583632677787443152550567686216791775441467054969636059387165520073021989014545028224616298734015315958396507607103431163129961540489036904386261828805004718774028943997670327881967850159202122441724392387831045267380240766799823981825645282833588632917952443465296511271523367228492038587992720326882415594012554283204801399579303298661023432216621150963139389554009267443093
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 58 of the certificate chain of a 6,000-digit prime (540 intermediate primes).

Certified number6,000-digit prime
Certificatedownload
Certificate chainshow step 58 of 540

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814011689 --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":1100000004814011689},"decimal":true,"detail":2}}'