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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 #1100000009078081072 1,947 digits created 2026-08-12

Value

157573232183078886944202258559663891946909735996109639135125794806906222707968291108526982390096827688222014051229148218775715119090719175965126063469194044760985227898755304728863014868079732243586470720057755412728697668084324141485004055423574374923006179240654710278897869025910532391784784657446307129539992056850466048282597177403791203840354416107725386323823969139726061359897536562142662887103773186888948084422372991036701734840683991273544918235781083226957548485722669655126589589490732704637481694877478488162309133077088205500606463788901140527748950691578241265441011662610505493268032333979423515221534470968599580094050702405715625001117279281878018048575976028823091271077110408251206025987626009043908022192469244004110074438684816624247216772449166962870956374366073209840088017294762542648137677330232609842262792491849513655748115857740856899241237604283142070575358486762161032598565487082521111139934134726454048356620522647261670591130444485044134095862252768786838513984769498709730051154775369137849688867085396412684419212325947485466686987357869422201051056513551742951891810674266058945318980803958504158088074681050322103251205085639811737939470217859400586152134817714714331360187447585161443702782196567034084710749651211927554001001009343249389204146288613501495777450335003474325963765437716541881015973951046946918709016077191739062044788867841260803186159455601027853155970614669949674630950667881992368882678109624670962344937167944651869881104020976289055282175551654666059089510773555393165070988284978721848989827490825264043477679204636872844890668835066126320747550055275579651305742667953725284861752861504745464717425269612851546312163871547078188280419250047595918108320896686222385246384127832928455298509438389922003445856124674792178813827171819262470824594620051453338589646233608951268255974717907996896560776131808455090388607007313510063405826592841552167688567844251680222023453165857858414119
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 9 of the certificate chain of a 2,027-digit prime (153 intermediate primes).

Certified number2,027-digit prime
Certificatedownload
Certificate chainshow step 9 of 153

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078081072 --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":1100000009078081072},"decimal":true,"detail":2}}'