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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 #1100000004818967367 4,178 digits created 2023-10-24

Value

66344969977841523666620648943936706756045613468577423662742519736838434377399429792608112826661654551780285027584921723720638699129749657304684161403507574387154726955588288227645360385921312668270145157432246251263161322143256015860079836750681840367319159192485789549307807703731081120179810118770298547030327980866334248607452397902915120816426325984278255409960691404172969406501064299745882440505685735491276217203218841501575114284941581732300077046565292649041250031026890803530166799884433158135759515135193001619434515424133345771892971564013367998367934958723215069875459338766529820663402063131349174905027435363639491970156487850994048491727513843600253879876098222987025455519707295887064813102537290511482068523592680848842073155893157278528453042802230930386229726602131544491303985865296263950061783164270193315085639926331202165178431629950162536253572253638206210561390519478974115366666820413852418719935789218700535113811008564395895696394231611055922305435052650299671676717531299093229015924328755024881199809275241228187727947155685424311145763007341431494681873001968402226689589189153957894608220290761322535879831646189871243906981175379986420600591353413361634812326679204263629262852104470910064134777420197540694753525772973711249024207626018000856377852960774021507430274067000503709764205875272155546856878378091059832370963955583462240150188048136705189760824686896686337008678488951506328217769794379684469440808823488022356653405530417594736221072251454602954544142353740721243482055256182490181722102765890141792582994211040248847243707375861784082432980397009145152353441122520536774733060840156536215390643336627747719072465135180500389610182648385693495629899745944442624243523150881629805445855890084998585514964979470251884601939303674146798899597404557428738869417112661968243212221620676604381654684374684204030890035994789594690712023341055871691552276758707157771532501002600525083514931206099846371739977847810006361726610391407583509354115778360162045418750808651560975381133179740953751091935131071248759685805498624882182247193036299214987204695845386567968149172631285550030347881333249967677148210978498878146412466243074837698414729313074221154721012205432755087824514906234658068778833743801806038881830171152470820978356898570274990080754387910799207371041636197562570640095919225870625875529312367341953377258686885053532633964355947773455765510555441392848307102894436322891324087389763300589628715546513560041399016251699702011310253189102467704777859667422909260132589677802677820699253800423875701633108038874540895920898977247592337455124449962878887231131305668633826476634336574368671304097696889500157074672379111317851557168754074611119216389372505236631950474982136102985436705509922163654797771719199911783301565905049578900623472649463984894306407898415617594793997183235884827718598644039040695594056896453533832872315704778461135041241261148515535517534597611629779366031582824644694034264343138796982372950104007952257078825142452738690675084801567050425721808743488666093002032231512711194202612706096308531494812227584814630226336097414832213516561802630459108169028467061425832588530725656136830386401242004266632182711719599354475096016209592341769352132302949712223889908845509315290107805469380216648585041901885430333912119880685590421347856917871436850059636739539416929827522477732983803761532284306442973481442492891065210901065021914121755237268428302114325211987864747610861935306757520674270956047556990053735653241229745127758789301059188530081866293514275815618771954257663413079703201913648879602686484841267221121748942595669361263638224590062394581720381428966634919967615757001706597292612127593764278484524854832328161131248612198984903966524632585120034205524500769485348527264998548955286056296988379671467904449671399377060556003316897861989228041678968121310106699498081959565766091570379057342626886630129850726513201704430717368245299619482487548961274582094181232079310370429062083258322904789734433082611755274240525229826759059835267554701382265098636515457643821754673463506158067900574024536327562296947899212420404914914275943885365398235171446907671207352231040729320896112977
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 86 of the certificate chain of a 5,022-digit prime (621 intermediate primes).

Certified number5,022-digit prime
Certificatedownload
Certificate chainshow step 86 of 621

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004818967367 --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":1100000004818967367},"decimal":true,"detail":2}}'