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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 #1100000004829664671 2,669 digits created 2023-10-24

Value

89034810489367283488012128478521158135507792485938713548204123127414140908033696525973784627126663589692120069482450979990852080445637302447760381042171722888604373318259605682013889773741205932553944745586213071205323995917135245755750165557169065996087142452403895855601570336313918409843813021349210502597074863581442924129448325199202512641808784630443360756689754381469983687274845333258866115329306284001507555725724961357532563914466750379963016905637646341082858636577842668216104845168559483702953538957201528182172818785286238123614559841944273395314842548726840734766355558995310984651139150158598690207484814971491893700107291055732795465815720015495126876730614052798892625072927569643097818142353572855292933873109140631772045694295978544022426324838102689381683684546139330567613901491217865710447434594353229832065638093846246286592684172925041705093557152767654755845527391787561579586498908462117202361095872219283765796757408162974582040213402865198164576752995726182796448741152532265334794216551588671983133701688194436488651143423513571184253510216589444530545185250111718401175952610243400149892929893471681301045371137850130707788428605748942794693440712522679961078973534245973775736199969978941451697332571727946502805172470221923289230989051148093646492404565666034945572986695574479965457229711822762322287742133455538736921294010914752570666358572714790047463615983075108160684125736819689552508133223827758832095329221122633956123814701640296887457593917034151964719889413831279195978754855985016567704614294710113419764111151600476072688660021197992796219388465780137279535733986366946169638503267637852760744743746023727587364129892712930660064820263431335277286188128021353054507168451258253459779331861337435574479487072115334594911980804502595445026422716235043854005072543946246356550582156086956448766070896826416363498852721993383798856921707799418716561079514023256893273174524276443420385511170835099637747638040407026032205111810105570336736836239690821328681101133570000210047336456808125343856366895527518559092131224135243818359570279871776933063596750441765797088898886086245535913001435221259549489119496387985421748204491213836721849440945967480184236923846165275273698168066033197376617112310381781949385818229563485554550809802454840354730432464738121271546850978548340455716577587833584416655505211870596570487715407278664188247008595897543041121815600720982337349768547136669142262477942495676404903353218167013226786881059819409335135794368506347791354257448782647575278162114891824125149263917298676275582670372497779911543646612730324373190755234837313830329621459947065464560162508195249796091691711676398469094353
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 133 of the certificate chain of a 4,007-digit prime (420 intermediate primes).

Certified number4,007-digit prime
Certificatedownload
Certificate chainshow step 133 of 420

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004829664671 --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":1100000004829664671},"decimal":true,"detail":2}}'