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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 #1100000004878114087 2,309 digits created 2023-10-25

Value

72708187512813034518567984118601587846162822303080473920744761700646613925630074269196060061990626173954959182040024391173683247836722190924753310574967948917308054251721367054045341944525778326392038635456956088008495656736279378279510648212001359297060903119496667149188600914959700732025309837628660142384524392038203337592558013829412044815124674598482590914850282647683100491165653460622403707996647748550635462552424967005219353189582512531103119345908425694388587889127607641368136591507322982680231612322224352413411406788093043911383602421726790374288384934578770830829694600717106469297799092237784374330952655602357399542615522643066469455872478959279326223938921872919034162843979653234695763460001716220313202855482400172515994975441298144448684605035431080500855631062835381358642523224850486370544148664535637553068805392406443212249855100349869118897130920931950574367186221652727023942197054820859579862063879926388019379466221722068651900624446339879417994219580847282747607750543736293998613229837166691665317087926776096893738150122716300399901994703640941028133456816813456495492694550502179052464168797278907176641903650757940145243155007624528166048452572518882823304526001022404460961236353187849279982431111282533274664476023047978579547011783969513408829875882862737129703076348850674840776257999315121396485729724592641462213356453891684138859671560512568924684966577027607013701794482414754118042110970860638163748339159253189339028404338875684685367774127657692853754907800605840647942992289100208895394321051170508153358591838770825088286683395646049772989416160692710281810370520862081260916268979417347473606928551354913901788667901018011581492771179033771961941894744754373465336835834577260279373670481328148810169861134286472881112608559923779350281773045356534552531727625021401350414232656318333660798265023405824449260410134187723949780161964590574010832124359607258947859639328608550821309852848871686885386428719073582413753636488303394858187390356791506433160840404946929560323224333532383456423020676195228098374647371559210636650123122962145520505372667201566430662764947109617194278841502547743590228316334903081560149467112039900248101210846705486832018169273209237251240959410776717807544717118012177514395657079739818299657612021176880437721716293462513625555881
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 2,429-digit prime (346 intermediate primes).

Certified number2,429-digit prime
Certificatedownload
Certificate chainshow step 17 of 346

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004878114087 --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":1100000004878114087},"decimal":true,"detail":2}}'