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 #1100000009050519307 2,495 digits created 2026-08-06

Value

10343172978294258599944107819778335495937483303886857460604491725860043242325352773292605242601575065530845307689067582377368026023517449624837498895120490343104958885270066783790217555485540654954140774592936437375679951410767577690874266155431057363910332850033073058902734056466861305129748945560602419058172872627398971010094511145820344565515033039888736699306742726330351380972028157433345147663770979915777529782041845622863364441834975331345339504134552274289967555304071811611486541224659856318694738160163744699156038030415954608855629912784706001817128553902719991071222203433492632769045651349031955055316715373764139238352023956962804720252599395525607220048692671036371722627319637087180248195348514020514154656789173201530946671765804344583772298628488831350194847430541731279097940091129430865794043124907557872864148080488509236757794410132440806866197031103830961640652825325483258546986636483656701245775771718048603839937586342386332903583934441281679514601384066949893841062623349814506680595330264720474432799155167392780019149407972233190572054759489550690639178109542375875003520307155950543959027227773092757055022545546581726356060037670101250164633387181861783239924059152062975107543613042051000179384783642923543091940792235097145766298892293997754828280644316886003518738248525052818225880585324382595775727466566689250559773022369478647317690011586915078036373362389180830534632498675212798966551183587477083106465100243878411898488910073038587902105910922207872132035316666485227239917688480617680997357053001533524402504473892473959096762673498335458338428439453825104883129868168352510850007011551925994598250430199481361366838559049105283302849683870926368981661254212008764388115412651754355463765338379873963609082103878853015447364240529132995011909840326017774345712142742882026383136383140007126189294337625588633939532038056868677683276793218775199632892987514227051271861657485148455620406028125988514306834659726511709427404659137369175590617666667165496074991682645518387921321267427805889915509859128627359156202869215605226723115970350504732273585085621901805641360931161334180213489968966349728566585126648374565840902493917719960106920074714184586602348388938146997001709467757292511415099891696695134011696001681856898279440716252421632952356410695619359324976110112010000460950411899479040919775965312914546089010418941996443268910981277555917346136817309146947563431547276619452333589451956281704188092540631330595955773235248936968069332509811
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 2,695-digit prime (196 intermediate primes).

Certified number2,695-digit prime
Certificatedownload
Certificate chainshow step 15 of 196

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009050519307 --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":1100000009050519307},"decimal":true,"detail":2}}'