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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 #1100000005814643357 3,964 digits created 2024-01-27

Value

3278044965995403180751476793242276363752325163664826011611929337194664564731093232524984647642011158991778723664089623771319630630367497726852964038907859866276311720460548801678153268695887260257582712274769270608168778303468378716674809934849621565571815873222601950689886073195403721708871469506564975102517379043858039821263420861716513647443438569787672006135751245289011278301590773218481085889695437180050784074836663011780730518143896741028681050033601801260640678431206907756721034263522486790228086569590854136798410830325977770733856777761154359363009971279864163765091691672821788270314372778298967074304083959788562315297322729893892759218962018418267139968361969326935744811097957174635236368322225511737004139015629400382484908146907344004137312563717309922535802796324347038018879821929664491295441886021750502645979686209383783811257320160389968831119170516403054702217331909002986223920531891878556179477782733829978614947927451605804867960877875245456868739701898757611036231874543065269287185771272651550548233034495381309357771119768466958280822358040280255208140356062540605872062986024999620552013215001748207056663076957698474212616217370370370589506047359669119893917922953342976305305157373141731022757909645980716044481011444207479413232744539765415397092783923292734411406736624123075750494044667708377703372623920671372606142332922734162468110992738636214106724535066792941995652366291582191362149372198661692558500115824005250240608076159510044179294136373039145995666536373538907262652607341487610220314091272765694831332415307462440627485746681391575621332557947632060559080465258430576228953459060006492926041397366949438778883502795551799114526464966810486270004591599820173929549006622802341901529377878520932967985762029305206798008574488860642411434266498244004858337058677207545496629650522564255522822241446871272196459971218716037378622630728913301709510884564846175522387580247960859234532484563519328671258396858871133296246538842752403251227923330477664918049305982688090563389490915310862348078522318662593298308795486078456369581496874630183796325501999001689616264134278616427559185964847116932688679992780389021611090679758978480832538843416231683673707078599020032103536033592796544398665109601279331889541568764143697384341570253260032910683313807360651577292728772444857104512994869678487426895001629702745870965890552068299348254775583044996930106674379969575970659538579285740484913664223024395438688272464420352789350571232388952873294063978657481141866801248420514344503045501427808848650596411209726358354963860868720352874826406498496196281077570232812466389170974819327711103811578071960826276441712464808485412756386821703777705038633027765753395169724481543170992687585070836979594660466754088248014392410114455265399614857701390579704326315108310936525548604053535177460595144748973331659501737729809775437834927055571907769963857529347277485752671597368874248290286337804142912080257150359595968715827579879377938136118813649761399126713854079439771734068820545214043027303833005255361966883390959063202138536192384866488688535820208849909269504681287309764659848553677647227168660966932694079836081349234130236086810101115031414587017435191844559809884079633699161630904817675877102095705970839439870177200108921883102267683514132498646487866506597598480770414215029996847593723571865055650195731965709766407801857006079075158720241013770708204886981069046897573733576500315346317116411886938989064289683712046152296541295997385908179084406640371645156560256770558216668285862740242580647008024111656696578417223131598677283223955985729393710909374949656521189235850781329809125032521761712200492551052120713011912629966172571229335849639120708320236819665777656570915144689393616144306937083107729924046228351658732357332445557743448623385079810923190883671808523525972695399691289527285421438142762922086473080052917965280280281291746468155536557819997876738086103434901136491113028956247605680995753
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 32 of the certificate chain of a 4,367-digit prime (247 intermediate primes).

Certified number4,367-digit prime
Certificatedownload
Certificate chainshow step 32 of 247

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814643357 --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":1100000005814643357},"decimal":true,"detail":2}}'