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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 #1100000008648834759 4,715 digits created 2026-02-28

Value

40294970378151888124415459157545573440413657452297201621994795238277442612526836477593725933154801373604418451447734318339127463772744639490832152135672621165268056410613078916420428731974169818528793489388349728629767738901144268363222134196071894830165975954289913812992108295574838449063896954092725048334854188327533389794653323728461779759984735290629063663121190849846811178683374030542526911989212482757773305865807092048343601576022429990234062374861489718891186356145789464894265039495911771841733526101906885113688833938311427279981758223018089685438226611296777660253302413320994654246475444903583973391910881946000402907636794249287522298887571460541538719901029067703593359144231703834513348580572768029781156721620596244564466439666188543936358850105594141642596820726163773430018874710407027622449941018981969661940161640710593516366412477752376126099156558708373626415201436784612490067478028519337449056125402356920608982985138217917628301422787648463705992254346069554562865588434145682272428989512243091108227869960314627722627839197950371565598878421464465128002655726430898026963530116627580961107171610569371259281717882231127847327003472315486623518369121390425558342785403462414653341833911068449567324032739589149155954846017763562446326971109084824653104286370126226912229321823067045853199796608775540953280091554371495391734959668876666014169771193639845306103694045598730091637539601200858368661039839640026700731380268216156856890914466657385828552102748635630328548294233144070075983418898348029651503800932595320905637882439613387572945010601969648246201156056664840377424072140489303526459604184575164749350155051428248826948971599699161056761387239874614776436529653661003318671100325869714673190960487992788037617264991879470206910970094227300947687693151673536745827653835212761893107583083751712850391923444635015209304950254394225507706327781806441242424311567781913464156789331877617142139941546996465382325595023124183871791071839550803334631324445165282024093485352851780324236795905540612537830266720978381859860591308254008724412912495269910187932808596927322174397330498081741744424129946688170758434966059557826212954593312240870346725579883566350936136311369997886146666773824803054100488128477670021385403282754437866716209932484202769995186642750341396958436050701264899805184229028387705881836769088055724442277910959269655676319458893978616247204144702771235885887902007892152759322477558504016000103048216038702959767682434734698409974520353202124534521394730684685718151175389905908183737508416027849737784727893298680233438310373494523555278874946282374506886066151152969107755905587396267509252524307906368869591197157316277966562564223100688467423687383832618554561758401946722510347405493098533559257590106202048485425763628968415559703397654524188338016606944562090820368410054601581474036711321774049222383214420641841629259571164608085373246666629522708412631805225701757484720033019139905763620529643022772968695371727267351239101351092575148728711744740991913292616131273372866251392124581999103213901336596470587591289791006780609802156093624599886064165993643282779687550171922252594053088447726265062108224688148344293355436935782556991487959951311874982500938645297363116461678941809116832816729259178975934405288821534292491284780883915729471828186999051993627902738156740005357080254885784704175797928955336363338834124224192541410698284854005596074305514850265993707394838450541485291107965421895608991954906367755055544636521269944328966386518003589183939093695012766806104514086645887610718091572082767093814288761018969098381702882097125229749715442811624560170088134764380038042685217581701818973582890972705610460810084729750266477755818749170479291585312690969216228539634146861517235570172839261423442211139841651124628072040249412434421357164076288991731699830166545457768339337208531706021665583093770105117695331692740806969852135351280155305228382721317469335866557089832716879125903218996995982793790360373647264998000435470915809781111312419374411260836984444377289140719785861023332746741692217221196111953113997129150932340229648960370327185555601821959365974310662185760262800473938025595984435077446470940870693131918351032688591287168003062060020874453430967095739307056989391597612611061570516740777053029446859533166872533005514262200638504763010050459933979617703308555081228061414143034418763143519446112780154463115241322081664807962917475134567006027309758310735956237879743136387443099234044035535223476988303821288897858687235063322382027490394274928741904423049307930079562033245832199744737367362067657234180291035709483056243291733345915709956026906931850481771510168959301062985016306629177056195162830476196116609223
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 97 of the certificate chain of a 5,991-digit prime (388 intermediate primes).

Certified number5,991-digit prime
Certificatedownload
Certificate chainshow step 97 of 388

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008648834759 --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":1100000008648834759},"decimal":true,"detail":2}}'