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 #1100000009073531365 1,972 digits created 2026-08-11

Value

5405289263262082541155797654061753513238709863889682110762129524332610117443343475430708985848718063719907016514638581232883363626915019556186447149803269044818785229116962443827805458022902524592184108816300452352785397638789361155610680301213301448788659030196496929661301755254540131053826665775607355369479189507510601326765601430789292978548604821083114127263609446214139845404051298912440517069987854144125058426123267684043452039221340595285220432411976257034947601761184847115923275605621768652410155393638875920170556360941312874736798274778317605194645994683028555372533116844733173013029099240841354540493485772971288406328340301637894686881540541268250025345112487535374047895665782986821051486090532265073975495974239827646569866772658972616985275119592396503586508874821148993409867895391286163056238818932031700988665730262568463735069766192071610923731907383421595799146275969728764592711541055823602701304669107362101553601135135729924502599391892408828223562864397661769808987334356236961985231221927413908851866568354112996501461409817016499119870508840210665041639331231105332131734305511869109950415310152778291450068235528202819445949755107110142386790026847772029426625724456251411557458929285274167527529981463968096197612520508916052288066398191484762736843484617603385064379150107793624358183341587857406496680098142807280176876286587813243286006026355477342765528752348452273357014870224119703730427073255884241476884472043020847806773937653832570340657255896601878377771712738766954114740515443465908989889468241394304740862901794779984254253480772873406239070504277169589994959107631881649201201815457162201754647617527084602946549156130377750004690637435293275660932829154810515770031016452907032524894938830555269201881638257012473425951336024873117405438562072104767900346710262314353177464554415976688615172106776306927161354808405406544640257415642780033419803795447125549664448329200908912745799512009706990984249532839277437354157955501
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 4 of the certificate chain of a 2,008-digit prime (149 intermediate primes).

Certified number2,008-digit prime
Certificatedownload
Certificate chainshow step 4 of 149

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009073531365 --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":1100000009073531365},"decimal":true,"detail":2}}'