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 #1100000004814214989 5,296 digits created 2023-10-24

Value

8447796224557921338906588857201893218107059310017498944883462229223131906764219179504904143476211953942582454889396673999803987899086461596945321724317009558231457360270756466446672184908816990462549049155798988132170355702833143753806294554164255576236911070748173338383113976572796242068367880225293240392632859172184961778703315067144270694140352480614427419032835718548758990444012720798866088764253956914901128100295139312761657667124099175239085824885392601345232303963547606671199537258329432206818774594750184912462991098028361244688812761709424114787760418352030598147540862632825886458515037568766186227662302443860409338111019106175235057380572146790689352754667509225974369565364940310314394178652813932003812565012904381038533412145065199448420709311010512499564934153118382898084803279556097739972192517500351912118585225068216664393363604384358621618064335467368086105433021108212709070225436050838197681271837212958070996553624630229958115510694122924101387221421999366713240128982598323322198030219472630566794067260579957990927577188215996148033806336673882601032376322322645585535079028634196175655860548036817454455088096793615218072098747597454685282294261907263013236290446320884652264577051007904962742208178335551617937799716520983345448325525732396910467568199944615482891155142240740159584367074385085695075115963412002841173223009711454752616045302114828642440788158411138643720281224079199049606546340743564117919368232130877081295444674018430164350895445700164511180791644586325909582714442153397704276683377250823008897605983878462798236094567207114155303407552368504343614678430087914150782941875174383934647503232368716186506639507044464401174549273672513954956974803997465327263504877078356313640603186305853692115557150071312906623085810247882013184534944794837434097603336413261056173766405458495908394358763083183224397537697332769084364184524077530173699799491859947100850117544947851599057151340741643557093351898024281673132633586029912173012085079565074928471979086986226815502369082224370354531701451463246058394505459366590941739425492466501280173612093601935517352042455483006718412103837321654146828953985234282156202800938044717811924301548742838239165127901063853480110133880972965923124285444709979239842727902644498620001222678668977506232706632204791119815947486273255678704257581339950006600098095545142611101610663890588434306706285273639731576820540458270539599967434823177999318868333775926321769322039202494432805048408925200175313508917543641072693828706367962783748025545220672788197301354022046899954966610453246312214774420713211444143663113426560654174635490897119244366321912186757379100773948915413311457436774706190126890295396786644762753579682535793514056509948800148353185669550900349351881102668485197813606242702448856936440672028847503531646554926897639838846759380095916895919210062732760993731280150669264113550301241538845282686407435976257841612382307378565753353742629699251320244496668398024488990553925667902086634132177215682791195293003262722952838586622344788048190232538118605225770834124165270715519200600995011339871756046579514533271984057797660951968843398713573259691688597113285903695856078059679862142536732820734790008570011323351542989573100213710585924136339698899693265628702058508578892017515662772250544885143802675102268881831871288667953043889528363980052743135910556472755642194670649065550919014183486617030097256635663365387144477091187882389284760843057682732965640392121768662574847910209793739739492078307566365660444594417074522142623012747409515188435974149707667805572726011115620152945688670488954795742168326300543732880771664037660601985007297504409749344533014210933505836903220177476343541746581496984859089867402387203676627268196171686468434600317303988898380612421651356113981502233150331351565087840800750310534002540895796627882871015395468997557232974442433904840956696307846065002161795762405809401173521759967449497594110541052127054983257469541387848811391429108121558176157791736632540413793867718516032388326602501004718112446857441894925075217535128888994169958223879451705802882668776214410277460609857851283011336718631294925474966534631199076312324214876478673517236686426543830827860387242931522901254503027664890714795499985161302814571536318085041329076675998037223054340726324170267875179328837590886337191429336957891785119481876268969602833813486978959971989132911207680267877937501571468716990163702779551627767309264150141764713417736023507652290679774798702715052282902713017526221491870988109755365629451687170008240666289727427231226130590491297416974955636568754935396719851440706582739667184478580980381073027919849232750601581748636379233028868035421727588052568164487900408719770628642380572868666665071574128421008679137731032101274574769997553929977488549503507392891340698285981347567496840866862350864250771048683178931713956592513826392478641572047091923160037041061878339228400504934636628114719973265670967667082406053926410996609932433629878606711000954691535828633300957966617377349787857698018137135046914087957933574697821119956578971026904951874110810049605059704282788864004347911230373668957652095768018742942914855055005928112168866904326577408404455806553670792016332956524727809722058146969355038140997244796045466801597710360460198331134673
Permalink
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 77 of the certificate chain of a 5,837-digit prime (808 intermediate primes).

Certified number5,837-digit prime
Certificatedownload
Certificate chainshow step 77 of 808

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814214989 --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":1100000004814214989},"decimal":true,"detail":2}}'