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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 #1100000004842737318 3,080 digits created 2023-10-24

Value

29564204429833318102207550264727358255249321339801529870059115885594219987089463710127540497629015546514230091825054729673034787776261555208079723184097104483423683533394691013859659342950045313460492385198853112140015171747606315967550693404938163603186539547254632338680044745711582063723317468919058396938012563352676729361315208444938438054950345321648264541197018006194678282080090925812441370840130545175609208004652302575362611015672900208312479311503930931330288292746464280099687882696212616961144097350142722433298131648636143153673583382611945831550260156342158627104239781702638085846246241114750512495520581852657924050657114185995066105888400399187549070659859283558901870509684540363438121849681452942840430428927664882906984552314589856133029696889057515039113622588393587125530434105971555565386544846772127252339596449494823037481509542496297661153425933765854650959764958227807133670044475949978701876064289721523532974109930380804398929079623822260187510303435427047688772652610175437987818207388168957715474021028605830980643654574558847673740087902946864247980670566664496309616695931722417327217691318946644387097051105364411420124142322163485699867635750938936617493002225631846809230224192874154424551120503895034886454688948713205938668871393450013778164260292770729311670442313157122460473531748416439493442601884760673826680626786925545588290808852533860167571929078139727867045437613272944604353906857278489648655749252897378606134958589714982396416931863725730157791143534574431330426034887250282224769755297655827277396128998312866394645149373143814388953189716187848549461108666918482081870062453236806634470871394762390780931131003724728032114931049641953921390602778850371568177455479535538908313108273667229828070004126466418853878230365429486279752265213270049923768880333329844329990774456240208528615589882097627515604905597298176218450782961287441366021055813674620502000739797651860069062475668971232349001758844784393795631628016417722641331180045695517604903156031165451624107808318659069188481630858380891072033603168188533367037262253410399622059540613001601095682598065390521726184812199386128275868657050104991708701394514851204509991611320156203087710273547615890713286886328849649302684423677709707805945015973850659112984656511038919457872050000599343807081102951776493310045344063895647875526745997947198923984565157997499312640667152523656905521942483244699134845925620116193407102953772298639630701001756560976815247709475490336535840531457317102214961039867191705921975534570938602257228160988775038523277039505551073442170832756019075642878557003077856368101612335598484838283497592320422581531476220256846746970090344149056899867656764467949831898804314615499469438119018397532923717707387015726437831242458509551597042190280548172166043948950716605485853418290293321193847087174564811379001994782624723328179719168587142300531375011287987377898368201455093745741546591836604754949065405973157305026924668280118632457340338594340853025349431022537422002390819399686708620696895382302593921993077948259796028029990319382379927
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 33 of the certificate chain of a 3,395-digit prime (368 intermediate primes).

Certified number3,395-digit prime
Certificatedownload
Certificate chainshow step 33 of 368

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004842737318 --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":1100000004842737318},"decimal":true,"detail":2}}'