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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 #1100000004849397978 3,158 digits created 2023-10-24

Value

82679831689266250775281242458965053264359986248520188234832101527239906307491262756803499826183946901419191683366632459923255523342322968972563719134094533929894115766943027395492726509166824299919250249640002278991327415507010030233373939130863550646028776980752235465870873858218532282420856602188616397392832131878497331926742703296822896588048715022926037843428985426609006592551284602671886648811544567666404173675651269158657330301993603825338814649839456938552209310696919374606991239841685161728997311214173229433068558670487452116471494866717667288957147411884090013174841602799103855376562667670630695007103495994324911985149013320050067275615817169101405186836563922904299931689211090481481940629549028741079950595106100375218862019737288617421668738390296150818450762374632765620057934372953226511237050956039217721509332919409688888688238935907593385778062001771829297473508029213004899556923594855067107108749540297354620859714493989418084820086033212190924129421156679858249442866262999590658381309854503535936417033851477926428506033421638260241754695887603253585682846446962520636811982267726623540963706688522040271312309258201035673303323163974188872662892714185254019330280345638510006393723877007597024433378488206056461382384018731839321905247805042125054118273205514002013853887372256608552048205171806244451024284894853643819336650264049787698119757090093476160321287586210731832137242911110857463492726820355340516649398809560417951838674914451007186941675955232744833945210013016208865988945221170385135050584883254191361032262717766995030545868961735946549015948225524520069912922752058958644513775757672123602542984667756222609606583467412528274565776715891413605070333154770838923671336449499547849986026271849003946395651419074399079655618221357393648094881039160467301749105873799411898139810053926235128257907512937941341662004221224641832195909968345050818280788814864008909595679323701612152915961440379503143743360973035220052855710996080362049353353994626144616335736456390130895970428105063515748739705469561776604690207952530945797643074596832071780597121714874872868202564898389935061392022468180313641436433092428594113700678283811689133143271994772531943729156600906116595873806297946058189425857750521100273100775123058400834418429569878299973827959563222911539438185426126202807240695255711448665086686570395927909730531891520225401402966998332777799678853487775260298774137940743127571207909668360755195401513952458347325718594935631215086087197040997416947673288455205128848576249818963868921454642089339480003484549851491258660878325512223670217874102851034996550530866033247154077722163809981684731174666839644064709357088514122939837058143662462991871383480776810399837265654526961581858316003378554817712898400307908069964252941188208513935060525971429984584382758554945382041136844415047296081754681850044548258634585125195493191331698769985713628112759507973774005417786520728373494011312186558698665014148806377358280850139743930745268387147873446850621636593634106897085211444925423689119870927161771263208340965304012039291705024064757493019185265466797967161582961731807546116964133644769735446359149363
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 14 of the certificate chain of a 3,251-digit prime (396 intermediate primes).

Certified number3,251-digit prime
Certificatedownload
Certificate chainshow step 14 of 396

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004849397978 --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":1100000004849397978},"decimal":true,"detail":2}}'