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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 #1100000004813643320 5,786 digits created 2023-10-24

Value

37047791531838699668496760512860857942364011082138926267268271964678761332407222071035876923176390109387889949189881043335335830679140693452350452801687678467989529917082149768474781623385267431435072456390088502730741487222374925280314145617301182423972048539180944045455272161561106669744704394892882296832019895381345680010170138772627119448041019015145767441607896526771693055139191420946158695553709713953134894375154300877863448849432146029613502695554457251542852725766848578183226548807501933648738976798553177182192039980492069793613548820985133295012117610898857000106477289456423294820788128702352113535450361245760205348556495811733901631020772106716074000235642077289827289635184675255684508874938302000255352277080568493667675074000459509972845502134285815151628776630743065056558855041339517092526594364108065326031832408364247247830857916287426903030579756681079621088527191670114492860455276984715918750279701893280320083455290643086779662378895456736995029342735347870665487418970974236705771410500835031353520289015811195772419461789349002363993964799711708482082712348020308896426898796748180454935150792148741157289465936679237929772388334591750574331443703592073252873224616808021180171375363414305001414930021876495622950358368683380057820041958063758220563777729009188567140241828524891373087423547921702227360032059159361863128039392961055227321249106095568047984323906714499480370205889211163550430141079450151033781262650225883307416174591478534911146796811306124704660243578716031912462177123146036745630313565345127742026354740277526625891234718588892507974129777200662193267608177254264382088213359536614577868018013255876770515683702125188624886335732969672400845333891127255101224877018320253231167893002658328260641199915402209308785003764728425008765548589461308951222804261064341195181742858432857010276327985529492196212480613310633981762200327328933290420755948214542064280722421186326752899414405545970091565601374558744326251329829099266778437622032699621348652621465008201479673897459740048156407822179523348073409258382258897200130944623261149582999877030457583665186481769640039300108001061192532187655812138104044530611414217725098006185646597141759722021566406822874027325306653582477217486167500345460626172541996658771897543143410840219095357968044502120291244544908145503416826474388685427154875511795090927112072523315982795841580570240076317370335473098150392923278203470747951110233841524640908016993131747438032916823081370434258674092564661877586734728503316044074715333723593780686427454014086976230162296627145193976230055922635311151365430511079620784247661664785356490446831593768203760311283433847884472950726114722579406984566676457497635064028843925486893407992320179842336978933806283550802738625271299424907238820445858390313831483020604645892320265081324706798332581130790757387777263044613842871758695550246140383432357742715987439052181777660172462327849964550622015508443522757096242450914067447961609810091323362911447670746871091308220504687656043032192393168631125821923842099557264524487473758773643122408585119587133188460092020970108570842940433152824360455043908449439696778799341369924036263580579921000540822077124760225058765299223862284328053211319594092470879922666731025687976554136394639313028640048765134759237506278177799089000057728766294113746720715784687080558615081763694365143008322661015333982456686631526828391262566301118701814362478998376366095699503635317595695110446246478434254187049732761429930260497658639936558576453159958739641340463877812829589792287194607069520527817515100437903804350362764211306738579909499978834896858889993523035037980968047375991551827230105204617087692596605085904203524597793498558534286332031187314342431304371265352355011081158336007916207644546298039397530587733672207238375707676762186885200954001658835140250915562380253957967950591446581250880736778633321012947509030500533753532124455534397970010230723821929147575306362159708494528885969305873375337382980912752475899322972896064140085031054932781979420479706374454005862391574934268327220260616816266233087695016719607898502784027416219312328431127420062044036942040954364884746279211515869978781884977411219320214328500070446934157501389340718557257777441883223888296415091278414857557786053829219503066578060413416724936491659299715981197844028520415858808020946073099884697923472454035670803781169938100825927056130217010915026025310723328517176499587934834034644816619310415046856663184746432898801658375982743407285474540794274673393609259757164873990763925270594835132909564184499761775958799435901961757475026857388837466708548793036147444360481881645583057065589318619768563775347770989969450392017009309475699018372054208101230131706997890169213571592729316385111824580826166219159758625166253423921883952040070205663129140477155787471439316861309176635228218892888477579821331632037139328440843514002842018415040583396915913748718026914656127287877743103399453699176126703950925631037624599332445224800504763529651364538182228749993901343990938163528987412077467367751954797866054813802545235309656955082049070022955799270423605658233933268338369626664989559418871249803115065619942567049332222060343631429211351517937078515424145117508450031123413926223690040669032978094315773626075647583025428616854549759230484003653312442022812088253011242913322758878109863824373483419309572425401301093737390464551765141608093344979999403574127796182020842386317986081561603910603922849549669461001896397943803783811933887378083528822783381198342047638518523569526561696133785700790176459845464345041123933629730854913983842753882044329933869879260490440089552322780035230289704449624067533307626932164289289126210415805642785660305502824447282747491418127943061157590603425061909895104617956104837239917
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 6,206-digit prime (621 intermediate primes).

Certified number6,206-digit prime
Certificatedownload
Certificate chainshow step 38 of 621

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813643320 --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":1100000004813643320},"decimal":true,"detail":2}}'