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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 #1100000004843911864 2,973 digits created 2023-10-24

Value

490864365816069765716545109671392039920264114548840221436925665542918295275882690143497751366506815250747308937166870152710557080049122004453022220094291083364373038887099957006960886571005822081817333150940793876480088035429629355525661969383459440487046041572313781481349725937063190435359132973320998461890740863074210853619246214197128383282404455762957540821281095625407528811089187630392302356857126402746769980210131609545718046564568990941547758685044012279628657837480186388219033300018943069872331012941036217548986401972094097680160132416086049405626638253123789520757141041170624654485646702242790141399867298725655839303347575154922511007954369803110773725412636366864928540644272875966155528123393215841129943464449107071272883688077340555864070944941452021603961812582293130803016307244423608711893106707370292176364042321682098082482842894026517725040360572799325432345476133210937621899816870238541276570330288931851530515616114879425891973803655108721147474418753612111196441918791923911368830504097662978282576542657749293945171930263150999049717706819134418431832945230262061406549569581269017309108156025053192074348232663874558451561982833685600673889585957101313099827642877781494556265623754655154499073615924144884805592818539284631407372064146340436479700155765313733648904990135801376449662341304676449456196903508011168954483014191153375268119470311318883052460112103523428992183292939641952748074119773699456673841374383594945437159120681649419642946410003489519638512974040690255658878765163229397909659421253836502386233108515130578839043771596234486750094263627841040740245907771692029756057462640205996093583034418034443834437225667259918975824462192319239069935253131248178610652085258411003733621919177806779725567832301536672124826528232639809573325346698599784469951450866446844548443951196354399811481890536568762302067384769266859628975084205193973181488721390631160975803458030637119347839413765674544835541331998303455186046484858724975965021475929147562757327922473175674080103740851153360614338926489316746478484389578084272731267615342653488943988659229537141426890334338183221473719746397573958306840174641337533136105101384412733684299093009498212707395451535513646548958432420975798706883145305076066112111070514169871224090485908986063842475523749237765856650683545092858128286713648744981081728366664167549205871822315629870355656616969366085446600835177969119897610575653320244165781601124407716483213186060026149267330155245455803407664589647710199853176749450655703838580241702877960633103187628386639597585398544950133020792123230031069838937224377653159236300135322588756096703560241320243050961548973166222555147926161688411723543781891216705951424609501117492150987097179287269146871727115474468994101014063461452381578244671552524047820602156451280451242922235575967838706606872765652967468635757307229705894200795672005390326800802338470239675989754335946122712196192837169812599408740834224993511849741730221857781
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 39 of the certificate chain of a 3,351-digit prime (364 intermediate primes).

Certified number3,351-digit prime
Certificatedownload
Certificate chainshow step 39 of 364

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004843911864 --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":1100000004843911864},"decimal":true,"detail":2}}'