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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 #1100000009017777105 1,969 digits created 2026-07-29

Value

2842365105659289536711303786775912164014495272410288458540808239929191960693117453095609781548173035520346166955814949146584354603290775578918597459499374226561138269654160776432626947933637890430686183443844440511598411955127741844045196043606749217132938335934167237765000857325973037405948845737584502525422310839461546173630075055016530940539467760975536331404961072605056171488056321449814246986776412190568476917039114293916365748549774851161575650330005894040208829341466868167554963567732508437784893227534369993415524745610818724645885353270692190449650450009169298641764532763276039472500725808081166215512535370884946777411240191342175460090886762595700141053772972399495465177643062518059825808886156950474295634581719170005363517296111351832118966932675898419222178358830697916155201500052690423448625115826369115250170084584612968161384996256853778818696876480143768870878916598180218107754541724096913133067627481143130200560500923621676826535108704810054873143173192022627615419424767191811727132602487627795043790301741865876927988987296059741526195684613506567881362831161562916442977242258589270502393865397445640595315393825637102219326253973871948302591084618663198259334585325523234374816451869949110259151912294466596308749699632757582738805168338013373830314091155620249423696360434285502964049968088520057953889568577808841641804733891912707846883902343819439769882224282171616574459386039914448156435643919457494873479461664628801626428032083557050314225241806722421355981532098241464682692813830345304040384390840633449671737016297642513575318749838311007872075018911908639183507890912902793436174406218367820840356717458372560407577522837578619321508862897066659065673560938088299468460372097822282493071325987670942646141177597401342712243533298675511037312543112421684694070640655746540273910605092781255415580515371795729587141680025071765689892788540525003853691827983925145948386813650654677053959612906681832674114682104191298373269007
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 57 of the certificate chain of a 2,710-digit prime (203 intermediate primes).

Certified number2,710-digit prime
Certificatedownload
Certificate chainshow step 57 of 203

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009017777105 --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":1100000009017777105},"decimal":true,"detail":2}}'