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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 #1100000004873667837 2,460 digits created 2023-10-25

Value

456117273420503764402727424305961837228959256578374145407039591850934665179202998691292624741655474963640007862554515527894669925094140175472637661760231094345376521874552325723137342467739991597986371428541239276804664995727093458830694378857489324865519905172997448123382901718729495300364968831329534619276268742689513083761596874455922265503053592760349693017823163905514028142575021365021918453358641603936477601154477269640480358725074634841060364826936376335583694773439309885802055449110285812068493590727122791671879968564578512253258227215295274265647226046758671481760593394468249267009394951588159759315174711422391584172624091687286768733120913524841648460449649825906025785186676715566189985548433053900184967571115238602826061122201180907610825328377038711676413343896661228045534134190797970531485089008525912281067034333317825153498255781865148730292559491525005288847022552141990107611376532540589975340301395260989804384939982542817763561607144104907221699136835160116515275723849572485252197042745227888534385057329185548062364714588387597935148798344630175001553017154810808364616946554662275393116369448531156747071694427689477094960258062159380977052343853207019481803131796181531409844874685590537001765138754117678915855615331461703335252940333032137617784252091638433115591080313465356089917149553455454681591434657710850446010670424090487675259185337896101453502981289235900284010691151285321716861295556866578855312790678181261952561666046707739194521933394331247469661859099460791169518292677562576856749485359969511381730875597248169612798488285926945966714252656441174359917226899343175494482051523868647222603923995429130107969990196752543002885709266936521302808856427060566574740928985749987199747178942897531044410346689823601176595136713004784890557025984215878624095335661480413485342420598607256875718439297605348220332887994031892558841149293952370343412248304859325762872698010541557318858813825053135585984894983545887027584389873767288550001645427152559468135084901601893802583535482799075153535100733277975407851430550762308953640962847502927454150164220273953725914850075537990090562347489463697049428536839378361195028134364611132257106474335297478530160001571928468303466484561982716899622096323105066454329967546536064157334656980197326351845922444982083592579421869289632239063305354038508066330287940989552457687735879841891197467152176662246314051012591024924179454947565225085506971525332636545244567894513047
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 10 of the certificate chain of a 2,552-digit prime (276 intermediate primes).

Certified number2,552-digit prime
Certificatedownload
Certificate chainshow step 10 of 276

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004873667837 --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":1100000004873667837},"decimal":true,"detail":2}}'