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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 #1100000004828082521 3,275 digits created 2023-10-24

Value

42301763989108665677707314047352938560832947184770886478744299995733465684555145449110486587631752034397954199859684770999620441319689385562595826784005337385234443678125458701261228887624875132275746596746523532954772866024320105408374906716666931528699353654360604662203748720495822573257819476837122152552732214900834394598352557555620672946468760524614682793260317496786084535612821206148676278527442937760856633587197492300513121201830432997405741945482123411350498870892809719426433904682691358061825653618126089900361735317596471739171473689100732625517292585450705874519961482069553362359921444921687099423974870766798722808221522351700035893135118120697057622309611616897958841917329857657184037894968040473623040183237712576526592010456184857853653454653607354125155281919413844212614320469845556772423142142327435567450906662950678088691616417321283397207494825783922821820637561707175339544289907637718711844250660298361236355352895217638687533594880157291974871673688427545903391286686751381406849994110995019894652148167009082271586222113536550075835121560335892489524334523365131646576873474959139476388080434541997026605151057681716715172783247771740081502428070921605502210766260055090164533095790609562671979143052408261337247326656154556974069089925335056148174124872538993563868299056341828909046742558934858353801034984440307463882960465758629916738027349878840207769875377934478970922684457192971763190452539493676091217729770455332151581528355144680432638620069283083453018217416752857192950197171816322171272915762422504931862665418363334354585641250627432292978017869134666891064786943938784476849872553927658608883443784518614413426282656065835784500653279942271092089487453221361152047237725282376418917723501238789920645157061429378289780557924122992182675973146658814753065418389845508985708597262797739314705533729344575880614392355188570151264048661894173660898274757434410484312839826327554458076514719296171390551262956463021486332577015469926953007220675968563657571365468145631847860089377236263326027497815645938667952682563115331738874429550136622352879395916764678239572239017367097487032993373621072524018116080098004487051034960383362952125631917551585470613269964275253481023386322388068933153036335223740475030865560317079836907207169111083887444938254589103220856683407191668752022758337669119535034110142018181493171724246177370696890193800356054970493490066315892520349286229954556437726171646261071190822848445981751940589719036833201835027230705676719614588275945958653649631771255429487444003324371286368726190470685894786936462211777429919188364711592589826910897523986979846912723779371793138505721946521293127865423398336620485976703884281416331372574261429924166532365632585027142893751869069130315282104969906068058953915606721742759306360911247929044191983477955356807412107533003344772429857981125423921908718345177763201099366332439596790732255830436808537101723460943278437025240042427230794484306167963111451841759076561527304537862461119539748807615042668106558184751467212097249359995433079318901442968795769511424053478669391056279687598552946881191861051817104236014984564688885143442894287185692155619938614828281647024067371660593495024318699011508125428781352786643915227355672119148177414490155688861607154161
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 87 of the certificate chain of a 4,135-digit prime (452 intermediate primes).

Certified number4,135-digit prime
Certificatedownload
Certificate chainshow step 87 of 452

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828082521 --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":1100000004828082521},"decimal":true,"detail":2}}'