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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 #1100000004836850713 3,096 digits created 2023-10-24

Value

598580310680096572604149156029852434223986243359241801477608570948635042836109157935231854015544851814843534166206905103575160566019088940711302470881100835098619818289266431644269914554263999158142478248324637115742770394295966067461509134362898555041633539156649263800335499034182164046104252522804635164103419656766739270715603243620736423143820837987676923650098174833349587691917022258749439022668024941796168659694095521043235012108995459097713860711941625852784697837555599174947371170524673004272470991165336293306418155399740517891776632426303296295958990266406705475433815226710098556424145029783979822600868669670291248608761283203594823330468157238006495442308204185868495027364769410063674688232934064752281561281093948708731549309954533379375258508979075433977244412096470317621438665386144318060310772441094625793250312802326949479654214691600620235249277249249502295009438913953223012654317809545041418080219373187798283924315380673354504366428031135013406048641358083834562355964106071393894988298485805117125757429705501621070643082495444328805102827235605638391941447617003672045999045056870319271610787474249342625131999593326378068530808202653670257110601984473000125601846371013376603052888659333575172432126927255511609136609641086916915499885207565189144510329631315208828827684423681228431640283883160895416778382697929066523461962633012009836767353412536915426365123393652814297433370847936657928367501033737110634804161245032334012193376629923735492475837370225825764463450874058941032178301391414841249409689927056350311054798218097017212771212351617324079068205485502042889651804620708913750463288461325368623095550893173180981960020571515427208491552369353827808752974461840291570893620967084257045459311568285280694216747532703062747146392635235436193112904948898008252944371004374630314324587416979251666625335409338790442104688483356160157741386827348620864805920274640371072864712896543966155180201350276547375517039802656929101808216110010052925130623584757931459872608785060727521839388309037174529144281206712867475182180325249920587695642563682476639436041077589641999501613017162581602942968405602920834758858429201939079359366519956861706052647605502245431234027731012510780060172914798937787467996424915120180846276107252800378479048896051855941560580859847487874096505455718256369431281505969256178444972025112238269882732379595904664168610176705283732157738093886064465981804161150600237568675563082559312825668273101835452481584445564245649746151388318964538453944199904909154160887800868178171963733982180460830027417976752690207552457278821125504717038323047857446565749993763125154792502805445373054984512674133283689814806435514738101428908959955554193262898891457107555043662213809690315180036656061575038949880836269022690747666568259504757725133531318580559064329954692427158880751593946609233130736713734953101483198820789896369715080467267904957775799960415025832145775958579026498144850467321813604660978398772995936561888926243208284939986005116630590288790191731216868782325035130818386244967163927409422691779888476192277054189920283125459
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 57 of the certificate chain of a 3,628-digit prime (408 intermediate primes).

Certified number3,628-digit prime
Certificatedownload
Certificate chainshow step 57 of 408

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004836850713 --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":1100000004836850713},"decimal":true,"detail":2}}'