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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 #1100000009057078649 2,326 digits created 2026-08-08

Value

1767457838594594415190655918569094163988900463907593595729643968322038569601921943211238116285972254868302093052801414969591283133385209167101639479186366651662734038205137496836224529659371923366864491156524019173368403701659364348191142288219691282977171066700909113793677430170849633663626585088433389413499124715691147534637789681712763583342792100069902407110632081129075069527211061390028610132971816452896877204048648456912279599317741004390848837773078314570619545851285565304597696945352171650484189221142327400709187485818106471955144460075200192162234504924384126485404341478386823252052276634098846502371772362018390890584005792912297177783489357606552071426335699815468690371049811832252148719366021515815265185618804695136347335234682026524190247875178144661635023067939056286480862335839756701375309867134724990833077332004112781038742620190276431223401423396087865695482813241001108160581420937150631218860044808660117209473887792124106457830500429208146002142963230452499152587576369438833957948490249891170755051270989394917970115955698137148921322229758553082374053050782080379695815441234851473574139518143654074588755327233752831857715581691878241675725927059008058448325466734266225579281990051057546932507205137903296829521893701952651820343404001932330386055628011057471345882181221959171618711462865493491229222612290265118291292918449436284858373509875055871885903679124661930669438930908042087751618029674827365181118282932349616798375665294390793986556627257530760353786993947237169443787295458942382315537662700700624330661763019773452674685135059177392709726009475382241762528890476780433889287439533572550547725125541885287423176845880775215864824690654687361591278803890521602893976279548399032519982318590535499814735943360536292808477362019079127793521766657249991184203487502186836172257676237309643125748432166228767483676468131103643843609941077047233992616491849691747842799095892897178931527868262378233055246150365988156333923212015882079785091478288249932895555951270475061059093189804420311610484474228025231458513620986570538412567413666000835284205368828720055359926628923159234464938566792912120248864784925882820551658759585049257228794829902167320183911443077255261135568854252123455316453298800737848285831335704851358157616956956414530174527559093537929488054373094084453708913
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 18 of the certificate chain of a 2,539-digit prime (193 intermediate primes).

Certified number2,539-digit prime
Certificatedownload
Certificate chainshow step 18 of 193

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009057078649 --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":1100000009057078649},"decimal":true,"detail":2}}'