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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 #1100000009075005358 1,772 digits created 2026-08-11

Value

48481969337199364387616552361117532680508529486226952007194630054594839154234602700671252223972000293534879124640074870570471655803404197929684122858272264803291810765565097859684414582381505697022581207471534832664941407139382842692894398872885299639175362098759216858463429461334816556475287505334605098734867642731007526547590819089319038672676593818537964614655237126594956796924556275914414630152062132686868379609522859253378565240175177955531944819630935773411633733030807141059059117978386142710948513212242903581520404868774261591678927186264464336301859385542760339067052496612208007607060480670543964164391517328132458820402572940641653949760299818254195748784939537303989709278534779512906724430495536480699430326633136805221300225223248522163838275571726755462471812372445978604466724817058746119886286606094607064651739502479158907319444915624939123185694641225262844576734901405422482849956998013801008413451116270915670690257535459603639994804730532255667985170426175517420622033869153802787698668831481549132075553417414326626607200989264801508777267672624569460765729893716036914191425934996365738768661225622667325518391886412377401410400354243021883052621138259071499059211465473239780164972409720322410472184757968586379048512503468722404520430353023306402938821388479239669531380471497039543493180072140938659125134591050310416719498519295659404571512197137084701107046981533648996855888339595191797252247921109402318888808403378693647779700680379196630258396891083756101994208816270767992815270214603375603361849556750902641306767310550183613116107475819181456240687077881661565730222060852951480080328651640531141160501927386144617471888181508379455367974821130041002542325565070810766175822902846654658011916347490942452032837212774683151480153601
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 3 of the certificate chain of a 1,797-digit prime (143 intermediate primes).

Certified number1,797-digit prime
Certificatedownload
Certificate chainshow step 3 of 143

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009075005358 --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":1100000009075005358},"decimal":true,"detail":2}}'