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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 #1100000004842737629 2,964 digits created 2023-10-24

Value

244101221927628112345287242554319716956896152023968944646664387730899326297008460502531296332804691346716953759136242642048608225898840623059574379999168436320479574111413730903786222874746347743548368233581039886360985261327416611263549247092934776755915731270351403281467140030272614499111638537858794100463537971625332634917253045234283275305022883626503110455859140047102333071053795508420363260532595579720263917393909414698748488498364003628995644421658838251984623606187484276343332750870414871421511729125506565595577464280046013385109841354010860249738359911961509509991778902334620208519693220797028299706600057207638472995581839199138679840780481289521745863546466217054223719639879422315764888739826735111405111674021832530165817792373619008252251644103944005713292480903190389261370220888758433772668624158924934958529320534578512604056379536441889787419243574383385505038585107598137521563802219107507826202848794527129522488390989013832441953025264899069668193734751770537680303968109684953319342058738099693388048531466918775915957500619468286217699558816588693100372931877479844507090968090208479146990533679972001057575809334450617081952478118635604650100262024044770680945509973959591010575932294036120587100001017320398070696854694412473706931401560522447901305207726280296338730868993443179406511104630702327618350059693706929928984075142637660665506323047072509736468972413101188318187304981904739068593746905185476423163330917907703426129011571456758318750899728766281607141391037623276064005742880314242188747318082677175671910229594588379127335104703321369809633208488294339610821635353837447086676293359115566237124776077766487686390941131769434378906112751063048602770951349614973208681043349923312899435180811603807490700766272472570090549810426014246205564503169488192161960256698033473910942495758742647090314909801495568387750221104447677107023846026521451442883115619964295402341994132594763101620760742958556400233650982015626258270629839658653465017920467350550005911514873232591946503748212139928356640322936229471054577597360192663235139062490195812784340256434719529487457797291616231902316866597878467952180024086193161995622584312387951297573657553642973467514748030653409058010043180947515589344419384342982113406325564916028925418649110930691430889925396218947817733392959313709123338417992786775963463219977016565341816811779095536729702958711459481166902434782639347553389891435726497174830295176309651388736093523139958821884828132143310370125497398109113712400492719711375776150844865536014603116178211945865125708529929212204341206058398134799662725503853497089519772421477508575394266529356667750736126232327867289152842874068556766174969084903736397595766110930866691847532245464905485402383482692397398678893467697913992765363733411297002447972996361945241949446768752766776898594846536240117575624893423229825410103377202437144225894832110471057390449691298823221881538166693631911575571087977096456242785067463487
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 45 of the certificate chain of a 3,395-digit prime (368 intermediate primes).

Certified number3,395-digit prime
Certificatedownload
Certificate chainshow step 45 of 368

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004842737629 --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":1100000004842737629},"decimal":true,"detail":2}}'