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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 #1100000008680827041 2,447 digits created 2026-03-12

Value

88489732296196338338873462550165308581000567674283930180435806738067782257477566783180398389288130220539435503788756395761765187027833933472485635060258686318711793141799870709485438291319535227737453298177589236211970354115835253412422463152493666086320429283924647917612252311273731049936918826684844517217208179703971367559423085268747274374562946005849802832296696931240304771354027550015716197693994273503987046071743373994915872785040179206972286589703298604019781333027027571580653050756028156414109908724787410408029403599512749969776091921423380150699992414682699884859618014805189499730343158748624338931434893558310571590738496669191454026942487588855070761801447741722462286379862145741856897089861803879370547812763757183754047915913100942524896198603104239356506579640338744456925737012775167642108663258666349686075638182945859194706210861280283774806061773822715757996153771883249808137673955437824762448350357279415654226976400645993252732146966797344127456828354776936206595515536205599679005257609228604773392326026336821374206988275118980121399272679200438741955679616830600806317536236935115682836008675549471715345024443827777078673301457791783342590854138389728727492342812830001581815130115160904224184963761128715214207363313660745492571550744456648987271652985937053314407450732083398602219858128354141213798202895732369825638568053070060729479099374837267537282920021674631232402459941433474293785094734983437342094332741201846541107161762821877228170120982348273773760242705514429537800255469661545174940541236032539163141781336435037266378968973629534271936432082059979360757431169726576418343385228660336570270785684196355646333551893022151147735559787397823544297994161557487101293811416941552427680315607198488652131524629513137133874336128798463964860408140556330824896758029659157355227011370907196044291253213357100005055503626022939904794576442452981831576333320695465879749699710654193374650741600397472414822035555807534867672458452561623722755395855869062026303175054367943319770287865480719229342958018868816329413473318200910175088163747683868224011288976730654606309301356727384078625695971399199026576249258522272122595698028751918632737625464314068851529441695717976920711553746125840553208211977233977876135296501362765939868912678954660108564258663635736035508198059203865784393210180876475394359600293700101184328284087884529282746702856144891135179023903365860616290484118750770629004198082646439773
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 2,694-digit prime (164 intermediate primes).

Certified number2,694-digit prime
Certificatedownload
Certificate chainshow step 17 of 164

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008680827041 --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":1100000008680827041},"decimal":true,"detail":2}}'