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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 #1100000004888220345 2,240 digits created 2023-10-25

Value

48970004965649429169551769648792392327279326870504669400853191090797928099210581358355382565644483245530735666828036104043079708940704271036411051753470337081906735211350653287007614068135018782803433537548638226553378278792963936597441623857414909379149996036400512263630750785553727825723549607139152169965734234353304736807054283259190952668716866911722834633862833599249666261052407753284242737832805980440695913244850902600911221882000781815836631528341520520265402529553848356707459991287895088798802018933718571614111180155234322896533045563490977562895860934939157155021655425950897480084550507318197381066953183103745497306626882663500967451416201755637608678298255449536081182647406682257050527335314772356493991361292920262968464614303385498708210301476330501155076777553692462038291080074814787200937721896331363998190822502861272608030207204644065752898190964734914406007100082437411278691702734323122932091515670350511059009424771540353570224369546192557991044493979276264830263114212403041985649795915719541296927732636092477600658401608286272855214309318428848119483486350746686071911008670197476608036938508564369455642264710444705672762286299523354096620380309296659520679064816444376714105708859054173091949344466842387925917009424414524504320102415677417921735632248594922714897883633470200991912836860867993282131586937848816233142593231123650852439645534372360574056619267033416276471893968618329295919103122337501075112999943417505756543550120002905188821504753031099190672103882223095195249269527684483711470578305382708570143012234772202822156766311106866342347825906239668921619500600833073272458122794048119025034690020179540337369153279453341959228374513334345234066349566386984833422096625957592348773570377755031062398809099087760820136300047055077526855745298833850077027781521087305883638838974226610066290913409147832110795866744194848858905274674241511039300467879846506062477180384684043178360156672783250317305240385738018028932320912667706083678823952235674170330895198356159228861974034488545718876750435781151739782502862323038818616782984037300382097671751889467660436997342663076325931607865228694017745129684251010089983003975005621384088529071893682671060093602292539988710084370921269375170820541
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 5 of the certificate chain of a 2,282-digit prime (252 intermediate primes).

Certified number2,282-digit prime
Certificatedownload
Certificate chainshow step 5 of 252

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004888220345 --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":1100000004888220345},"decimal":true,"detail":2}}'