factordbrpc · fdb
Sign in

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 #1100000004813883370 5,743 digits created 2023-10-24

Value

1633642673476224100731356572213434863184030789657003077470980348397754667894363647544256883999223263131481072548419271762379170720699147074535245229048290820562837106608640751847036075731130765554923368656981202604260417592225620923035096900785246416288037679021795434075978538208103894626569442123446392437597171604201065258617024563857667315330763415730892454689240456182056990245888589734626474380885399434788217123318906554966186863082190346748352333856767478048961134636923131586479195954742804193039512887917042224563409060600012853441417976530445209341764175393043884515755527096283393888770630192755307875474655103665416129950788213013705805608187974841939501579774164618264363490659246402783647091431872128440950688526211497310863261492821245244437696473341924672544136065050573490696864581517365820240615878237889614557761211569492288437984571027767063854362407239845626262690334235830971189432414042000387141480064787000371876467935578515278538094199232435274827785472071648668785297853642358622868931842740034678364786233650221052333905242976123813301604685026286079419237419086770524180674729788100534269098048546864242280751801941118702689388288732673640383932766108463484404207992373461073967599549193841670508782646290882961724093581931556009584472419373635906238183201942905406072122283549925679232490959159663848457088578833290938329074766015844291436915744040725914059049742530623055700421779811283293359736050329008786181258880652789972597280179686351511828635288305647655031149213360890582292876055143807371705343254979225384107693071380790014086513396116733105093456999214216838041907764632278252517773721383822438624982102878020529027450948641696223477475677384063645167209428886964296144042231340763102993077967352276036277930442454613254116047627266018623346357745196536089696368961431488154981302410361029020953632614739730933321573763553430723644138439129661476228623396378666587170658394358390276391969038518706049687890426881546012200216848731680077781609154040847615954871833188625434968010545051897832707933897627619492207143317114504444819838810656833856789112976395526721034615116593670457909538424884789008103466772083724353229889570959870185138110595892381040362223011338792035914861256643503728743166744849343425481045521455927049812170238502918014208458243729477946457755080886310148495909078707729853940817205406770343359434419107743200783848633727268674033188337506255106253241637540656186772601853787042274854379867605293749005874478090130788874303031608029394625877244757075672582888794028383406166046553815864839191027116339993549495233501816486285013317752305517881875918073094979226812467761528670224109575089756191647153444497265282830772747973776669182463256981613894761025123785055287283552009109479255364518098050727227889252172814406009528627980594669696603646750895626678172238237332333079153730922104552624434006015249235440459924867035318878180367738473546831331993725325898324702399726886876888564661406919864334719800989920243745582531615740944394527905816797680702019741913533170189100253125924058086567230845924529728298494105435641103450647058202921926544674621633246359335713053081261987238149811531476157371253155272623046665211284424113932108590819144377082208689881932748637725042939005628704619012501873179555996088162279308008148860842347222746460903362624760438864136587181713666765818570806442214748323281578224585168116684647178303854791577433434729253990961254840225078957283437877452205131451046271530982603062491356456236177686194926431999829943951671978040561821202316351188009064059352061851394663935952302451794731315529665522756956878577516533795020455709181879710159806677098101496373574106508595683574891903102032903848367796659117428565901681245169961362896741434942994657883687720040110272935449543397787684509848893284345789544601017620986136565187020691848129384046936853878138334257076617605208000394564272921776611452005104122967430633753024225730690159033623777580350625373382151977589124543575819809266850551882169628414833282976076566665835019201682939825396200999135826072815143269936069916231571496923392742276233295473352083534215764664742996577542406790225264917133738696054461714363699369046578725940047877228141863120242771698375953582894014203573128984624315972049276218255861234219413590524578924354605039003718197660107906202026254497011635069403545576809079831650082008492263891564895946102793305351158742133856582963814857295514046071678930293478349370189027611849537124162327573882298119774990201270397572179038280854154652741244688270118776657115017651539082305887766471392134309656826675233772143198735713703478887681750415827549596078856336331600165589494627903704531830285050934876595120358524054219912789834093992945108451820092895102384580471834047427832584405187400066159259875955147462807238938452677299470288549840599873662467751129984503372171009050590233839405048277395625285475630417234486546041557736468577248900977689564009620960057518370789127242066558230844704738040771536379912060525903159881721132204686036598745681328601298256220454143435056107548942487956978086639808873998564390417788633802601926417563824261431651774738596552244729695601278182973086457395814636066963576296562717731469283631970884227261390901706640204185740453939143887789580889256752918635544506831807427394172896514748355670255401094773753676048612678305404160224719120954128173025847152427053292170461138580729653123450112944827674611889159891012121937306673883627085949553068659114157193069059039947523716945130670936020149416501409381361614640336333755509617400861750642583733780123667581851740339954164508755655779765037113105838639937883559307591006665895512252275146573538260907744394636554185137623311447552404171636047434160929013260030944739916903
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 6,027-digit prime (799 intermediate primes).

Certified number6,027-digit prime
Certificatedownload
Certificate chainshow step 38 of 799

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813883370 --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":1100000004813883370},"decimal":true,"detail":2}}'