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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 #1100000004813739725 5,894 digits created 2023-10-24

Value

21935192162816641010293921020654615249465328241792590288947852155469504154089300014611005990893133126949924129717500626739199592923811501557660875470346088930183640945485241111413616773932138324057288107925836212526285690939765357569518224133045878281711897269580805538131062994483297045114896661992301073881273801342754310110467117045720805441748267617980828134051828340875684798389641138544496639842829856577090701041222748773556303552168389122894375519470320361651195000854568335323721879503643145220412265930144057820209507059994533715719143521091648693413541546826314679967213140124642473539225692361562160699058152214983492468376644496179001542743711126290738295916206296828724974000501181434988265907924756423550997958411317012102740516815812642414569799287201879187551462250902713359396867069660363490246093024049603642611458083178069638648894826122619143248479577801763219771733712876989677110779397051691575649947571559702718754138948423523605438523928853763283936719944734564468791409457077299669056480412064934824139297647775662943307809916378125890606616634988810799778040420138017909139928423508925278438167111355534656648191694945965460440133993983152667400270116301480263427914360124985438939261391194945688337900306349968618437324382720185096468728749565266661114517366742531905586852038476747384838547781304119722433958463259655388910158063239217165063893943409400620911347502732336686127184479300074041930547181122597326656814805738185609767754116332538142006217281364366696209426824454074127412314271535500087262098717292601539078874552217549078234115973733331668134724273476011240132995853736520634542641781867258810876458745872670819879611124916084157045467769729644248275037112961936932806286492438881585487553089502660211705744106407689744867908833850469295430691669148489073564165559262284957984288585918222577460120652234511819478053076018714318119108707911416410058541143345790435228415659591997448478541077858216882308644291964967833658810473389194534679932227341652378011518711575066400047904736355469846732192099748462899640844500892170718167902065106597458518841319574997593556763335348137043378657640116559967269809937087101514373115372366099714725633827754455114977078848837537492418091410346136248770441174482319399446846860249815338071999009275057642969992282186761673163759130295231992372687085058091878608170048267727951958033431046878698907290764842034594927785550113951621991868376982251790746216644729349502434453439531111981801903783653318126604093303750867849019166913517119665990860726296424985655392989649377730561272278158257857514664394210304949559180451517703552709236190040337729788936025287155974176043202360251666273113729368335074128860977760557455253398058467460905994087612025299975708940137294991174561284997975315953715331307404702809324988150673683002553581565137557110954280749366234939983731874358152870738330729797006546511369544797039755905779803307619347987713985375998548246492708360176501540507213805832096406275706078863790206841837644613134896776863877166887842374092734408967547316154415540353961783228093854529270913920954433039838640221377096456357123236682182051226022748179928225368888828639323118712145749750011754783004675803616937579419744619288802270004465269550584498315259797187309829378058130158158350823450474081888219207141789283723246785337377617426312655896123795428567792380856148114467355849549214897089008037475217552353348164046615350621599325254165640953586848528610934889638907556777776912592683136654713329262606858274894374846020902518293896185808890460753713069917653779180503319730426464736860109294929998324786919375881585208911751908690914938872349757074967271961796860252112338020414089639643922634569869852727427987809615759889815408646773400095975361723935874881462228001187169602085172202830987655005303056850723597943657413695070853726842190424241722883097685885179030474303568243098373826796221074987363300360186294586639133918660393991773226780021679929534738256460324223254387265597929201739390028491726262322040419742654362362592948389113099348857427618792358451991589880734548077983254067012487244218858028685841412682596773028676559671172117734338639862688813221459488786842804895481109295261218705432389605396330458046416508496527923184459189428533607978290482538362090279968677219789513663454442400912463928629842438017969871071322233078026920913306074079895439439956822414898640885619783798628765351917271866554478193455111552395693406577112868285921990601246341623151757992932699336776888218788342459396443536283319159152342432316926519229557614557049594766059889389714156730508226230279059720592421560548448844666067854701719470945524155303447008114511539860767884839933828889598224479226737155671625563521698408582384928979299291450539191313215984502378316205649325063471612005187505072223167385551579377644730369655901159966007473982729007430560239189920065393608825360891014779007189110918770002242029734160481990833750304713284541390297809179755228072819688492832254177357033724752920084429684400689653367873035081858753045791071150492177259503633610471868415632940735238464947009360686681997344177441937898584863411059429800890810532283905779734328832115232877103398657539529203002123754249757894376730648219278306682988943610507620065531276960257132310883413162057573887200872440292585984154070627720375572727508052203868134655210578784854790406226714054694479584789534524228940220361781231130120839332502924000571625090970214033253511043236194182137254945876120856014251178806593670785382102153729271164351134337745841310593692448026327200789533942296462448025802815578500682241169204278635757448486061357352383863191166847405292242444375555190930819375391027250549729920050189704597879776063486719177351365922672907476854292615414701968885111450544093259103457889988345320314762374575990383023908311319783897705021004836883238116073053716017892193843111397458938333927976744147
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 21 of the certificate chain of a 6,136-digit prime (628 intermediate primes).

Certified number6,136-digit prime
Certificatedownload
Certificate chainshow step 21 of 628

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813739725 --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":1100000004813739725},"decimal":true,"detail":2}}'