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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 #1100000005813184210 2,898 digits created 2024-01-27

Value

677585466090350551632377135022198256232864864673984942469361848900208465141697224636314063235872499925671024865931933203737121312865456270364851755032427898208945912626668145333020229696339007716415398133158760093333925577583303868386385176267536245166230562869651540999458225789070069429809954500518854599241178673185955579790209451193656320836468174185415193145370426019715009924801086130944671608684527547076936869382178561032203259081903300639311214216260185495731192099776846478470797030177838941053179691295381450867208309480187726059218347732951727901228236245403065159958759688361108851701870862944242917883221227488274506964270978563784184688967016300398978486754666102522433001575356635077017975510424508444702350923809122182498755861882630317172927295927693835849474751399273903314430751153156925108149929647645165946393498205411478830640431350495439887267829139402978397813946166880756242205142881635142864649165040640635853566174955891395962066224196106741524318947171060589360038409195217351204800069210150671797161246666268182966905064763317856432690200192766849164059596875984591637745437476286415297230835230940344182215569061428405558191379735158302726712032650621954983702340624777157475755845141708278080733266450955273598758752145331079764994532990635811214661084066611073294028242980539217663070993498420625645431636429962815138663201411395010788979835317076770811237916843900143610807165628860709574454416443269662557368836338099463876517994685822856148920785109665016863567692405367303396766075847289665579453991190689055852820944642373892876135418300854712088653786739949595901382882158734190924017659118069996421489337743116987115127280067967951019130088169035559358307117004603502091901974578439542960965840048865467345162538019787359356468821666569707759897437407022066269024738627183402528262600160952757300097675105529157118232101271862374133408615070766530476105924907719924316896884377896895366971388593372834495871301646259927625375587815010589750962670426363811827834853926415315391604484720821546926586104711560692632126157605184701234687225900892931960471385346951546325948674761448822308408880082123694045261247756457663748074829239530510805037061729999773783756011427045606576115869274657425857286068405765999057170039517516804328960891463374327680142264805355321448512300185840201366375940778048236892284086197811407765540637766789255031053801423534304933544921160548803945299000054261308210153245999015532117915579246444108665853974017511252452230775744170976126642190751537993362625530401043559818051770611380260418074729738865267613763497581779973111962467661561367092246226741151776740375667141878071424808782786610681271323867697430232118043625850752691664252325845400790159697501805339968891197358348085856745479246694250689821588067645996649513455434268918762556143945312640878835794810723389544013162435070407848304747736440631747596789112466261612393
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 36 of the certificate chain of a 3,494-digit prime (176 intermediate primes).

Certified number3,494-digit prime
Certificatedownload
Certificate chainshow step 36 of 176

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005813184210 --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":1100000005813184210},"decimal":true,"detail":2}}'