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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 #1100000008804977953 3,608 digits created 2026-05-13

Value

50108849441048294550458261091242774293815569300887271569433339782544004906754889784450351162588211330651300223090952422254609469444973392727899768786195796041082395469420261125544088369954111560360909636741963555684989129373185825566967577629607000489736876995333855995278051514455878870742954886400437476914695037886895416005577655868067026544985439683032217464990146730953249563230372402032672846694095208027351184903355188313603762042201187314171905104236727033528724671025657383307185701399021253196194620602173180256853602430918310212815993975340280212366340609986770447371988198973847557899589454247884970574571588572372987632285999546692536335692621872909596068799653267375881924150890244883992041454822395692872052696349625471020574326264413510123182579220031101884779379933002539956487199163593357041200187233725538414514880256344455588233221275184423460767255834753664064247926191025200029346564457051937125878481549161576388348015098984218172840969748619906420708000396085582246808203161375205196722902127337403052543102501249949848163922052297910489800185698255847711815856634692148937895724325320817125201191186261282885804893507394160654971943708988133011265133792020511727365487584384559802819395678363483642838890906312103651204131496872490414699030014376022556576142163740669416412814268081851048520247352953664985413742679029630966668673759839802677097231917625259197904907518979374411623570871461962219282663736607907225205303477617209214089215891861428580601371057838857026209335889269738242515770417952143724894045649515311469712353782916072854037220476650787452744747155439145635110718541922561313490276678978519565659414118453656861275788120719198742926706148747301960094110412294781012165410590648254778246033114653274576429633602661646605392112558413672511381948346914990970735144060626842302524709367140587703570779641144832662486167450338952916010193882924505414187411376887161623767173294666180337648830776055584837045764096371639243636528115093332400801415430787424399093696483681409711023768676469541177286114102249432173397009816679065883983516652852624199222926435182942336675293618655848956665723687360169389473931324661326562705652861597005017016895210070235645145456430914108129344391587341816197223433811239684925568570284969486311359598168465487471000852709498125583667604465119176390316801460390936750528801908549081199532984689405031814145182426626439500354231067703833788148754263773512022756098788112393228117126345422721711287715128458640424310339465411779037722968436682534633052808786843297499274691182654610422633847987742510246070202554021822358897478101418931118848044965279166929204388786464177760323343452396990071303999467720695600106559811713122350620201349116321809519045619962028664520234706072116332538498980757578848570402736795063955606564004414111980972206740617773425931748579892205397915767816994128879491204157223762831017236025244086470904730178013096787949059781434425630533956635647082561185955858407591913418463839052343762218299343473556892263519019443017686508907489242337122729920838756974691990430785703217642153056168280905746741512871597632096307225564977004670189829700731977947641866366859194888416553238469999100592827551838324022451807030130168152160838836796130050223411651078881367413923434620319079552362611216422610661913499373085222307257717138662220098387808685275760762765147412592707308404783175232368833622591721422178172780557769562122670686765908960774057194457376159853282728755393600490476800170356578007206175549702560747972317828399132743598523097596061337439211278182704535811154027229941200409819783394495140453157627
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 74 of the certificate chain of a 4,708-digit prime (287 intermediate primes).

Certified number4,708-digit prime
Certificatedownload
Certificate chainshow step 74 of 287

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008804977953 --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":1100000008804977953},"decimal":true,"detail":2}}'