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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 #1100000004853461954 2,659 digits created 2023-10-24

Value

1355177725610308852115035529270194142386598900419969430735305993244128250127419999591728474561915311387671086317121279677411413581901873613095257276233181509974187246039837277891020066547515970668594883767051684482202675908006325378123954585263812631946611602895696203851301797147797661338005666834917138136198589181470982190830779629562301511513648170435421998186512445832568623286933039476330446594670790301736700421226845051084115631202645651620292793555697634360758294624728588092572843784687793615893343916445101665906953031679948703534634087526264942117804517565750777913886710258989920037423727511813467971108549855396942431938162941681902152971860628598528563231663673111650407232003684267672423553725617626524493202215528780392592461116178296370123420648913143689693488255530634153178812741914334701842363257096305392327717550238175980157854989466610586376835387577923445282442270564932285255087737424125569680282566028669329455323069954291178005420657738053749061229539157997616080924718574811760860853587423411200445492892071543225973085694858998990670943017453601630050739882318657939817533856240379462458107397483941639425948750214179401998423157121302769121438210847949810859976307270733268659079660734217535637485536262449466297723189926001225022153236212620030369393793662145972166876132857433089971694274525492123166525766638792140517604786880207042556194071904228420188464851942326011462436850680603116562411255600921745295466016306918878459622575874448850474805001834691711195610163483985195393047260475293487206465051879149112057435721424684876605060369918067077989482583910185466817993345463747435027855414946549048982727055785822168518615290408700148440888589640286514646865241922405190858763404356373868634836605505773835499636664822573423183040252942796095178624399035395298745201812511812005174335414320072831427798989470168001949299973222801456232442423040747886743389080870397676339225812836027108168779863255687208464793593912178147901387138570824169143148222566487121767769479096548743276382226231480735671786153229602788410204553104984634044546423463462545801743294056009112817135020327942035550596725154685083462680656776542915086150063443188792627807897090311692785903459798941231871825698817038242045046464381910907265764850615404605368297138710771524921350365476427478264816123492686310537491247013436449908973274101600196532073066874798810615635630470150331702452300530452632651644668794676009053809411728298128157820374356744285399072645078255408347902923827208527449078357890680796047841273187149763321762706372821370895064518120263604794756425142920456849410481833395713618027482010468520480542753700855545605354942830383
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 36 of the certificate chain of a 3,128-digit prime (227 intermediate primes).

Certified number3,128-digit prime
Certificatedownload
Certificate chainshow step 36 of 227

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853461954 --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":1100000004853461954},"decimal":true,"detail":2}}'