factordbrpc · fdb
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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 #1100000004818104567 4,675 digits created 2023-10-24

Value

1409336828688593330308010807332650481252149412713773435663936902991680615015123967397870642393023327121619435363906951987905661074177339905700230813332675510946078352637418248949194373874758975710950359237052682447726137109977706503722934348407940287607570635632852558484660234932296979594161982150265880544351696605496157875531740290351824453659327956779707690067601390952362356401855383562187353668844131442865375286141625029233740574907504059279568250447213312109599882837481246235130685797769419563846727902276279531451824092950458502900332772504579737207974624142427962244536539988490566984400040382274181953106160326224525393486067096176698422600573004455554211337582978227887419517739066246835013266721723820395653071897003592470780920135444478706889210035547039674773523610234653617078342870872849166971556695719369809103379817996521607754446785302945373461147468624705488281249576758467185439272651612601505292646799076755033960498023077293354485033168715119296715749283971518722276257654277285230384412067669739753245548897550034066521172929346828984063364132692286663023524505596266643853436287045104819271808320510469656429986664138913506512593552914021890967615043305336249600531907887870354206617569931947543089963855041053985707793787056202345561706593270407833402459207489270362625190101915567674237708287695622090103882232392079740004668268584520900736050299080899138878596323762092152548439250196243661534990317959661832686694683722311167267480960760886741810611316407653796676941068335867207557310825388604909776624802840662038014658967641471649136547733184003510289488268267889573353991743400963068284292463537948506354073775170799769606155327380224048030606368645576690380948006717802877183097091637345906036903513397681812058997790444111721121992784123782486469691240204987980229702988787316294720115044543078715143584104534426276854610321080759934110981355888374657465102650982989601774169353834817808829388646976473275782716747531319830981124363076375725861690724784433184027180543897169949988662222948307034102597732696847507723284846982672688981990133224157276281644582366453755524333141921637958228598707715020252249356469079357297467758444231981209638449355757163700367752608845713357544518028511160827069447739825671798527655668269229880783662020501161420906758041363769962960123239296437523455561228980756421226072316066479183393890574098839647075661897541626803650769131295886010493166291311086775279364794046392687619223194350400250952061108448426313972435135181085148505486009561638309235244405639171530040058921829243903516963490154191714788709956467137740712849790218851787813129595795110204356578931796411001783975420907655538447369183384588766244737513250392543107840130600146765871584640814116639732132616072138999826416841913624700785760586543738821972521309473218964251168103218750911561945766221193907839554549744076928774470589748242677627185533367649693756037364611721589013560560973716443482640070288333807555860792067979038282096858525164665860158405866857940705096609513353977224124285532861224560405059887496938017021622505333619920743228274011588862290327379830341840721787083200509972304454925530457540670522399093709646428902437603465096313587925306715823902567009854506619189105264519782420098278576310395364067205586835473872001603062350722187015336600653339661026091909746942562188851572989987716980422431653938752788457417989640533600338526912677949076960814985220338726048993688272398379195945244008343374913046389096849290268945982222907711084964890239893193615947863701638037346896655350787179643186046559313745953108820227560727110800091073772924968466005653818057731363660408645422622520945373693191154055712953427451710353834215148618234453037271872750714833587009432552210572317641655801180887244452531592038679113582544139519458582909108873937684042817332864678588924972257688806888152731396260609474305231230260343645270623366076088139321399171081155588330441470373139872012772606544112085965368927617694616733810790332038459152177873343954313673252431929626377005825146444557208158290332648887387902414222807425175093764384793774775614295047737909270494048902236892621389001177431256009806886375211214990914929259114940368907373936218866044148226242555638547293039433132211424060899726697722084042928298359971263442095572884293442334347859812724545209755897209544218603571242771639036706959909259205006359023050023033547439939174667245012052808331348778476290144011220854858937265246205506282992910254549403773223063036014424556575228891980018486909633643720690222182342763199390193334192097013229682129563979929565041408366330927615250068567953476366644265790397934944717978484073466195899605776453187757161301
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 41 of the certificate chain of a 5,136-digit prime (520 intermediate primes).

Certified number5,136-digit prime
Certificatedownload
Certificate chainshow step 41 of 520

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004818104567 --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":1100000004818104567},"decimal":true,"detail":2}}'