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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 #1100000004823772338 3,834 digits created 2023-10-24

Value

187818136765565729653541225817065063018334351977087903343512612171772226757594514397202805414224951901791085411650000650702539879350928464070022400810915532142563596407493895112591012404959226508588848267454500182701240110010255823193838088358566030116929105909510365507392909982966464865916599195840956263589858634880252649772152483633089119727202803552550376900923554959872560276190473156904604794156381683520145423372325658633886116984011846852104687949197047250502486084760025833872509562526985404474345541287450345907360199637194463379979248754823531237844101331965020377517471118395515993831735977757170066801425197098329040437622387349005528865927047737432647743703133347192270375605293711331508597377541344908957642140749591726365037319411928067384953268180938256728517073132426860992110993797964526187104008722635015909492579622051491520445320366921335835721364059661741222146602179713599269993498762284911331180871745488415980353830026677610071928544191332943932727917428451620459083007287801132983725244181810473688219756037372254035269898515618420050625811769729348124775851015405445933128669726174204030923840746993652437368296172780714414258747197909085246609224202108145405079890310689188809726903840614372407161791484288082355225791283245972670512605049565413013483261528401561322588305044848423163811616982876714340146921845211687097049430398557404614850239184434502953040800902001780384139621798100086433219716030881323906902077599249427815133185911382692521663221971267103122272800703522388147583033227857740049593202186944428003841118530127460441902283742329119232531673045167347785820612388966272145397861821680665246059877388504193529882905087401396472145807515409856662458514309791578115046362947664240860189503891761339332693783213905361969961916526309129668593658033447313006333959081847269843482701333905099975652983865329979226110025861995951160557971105439488840609602339912324108711915103328836228104077826598317684413886324477719200028238796165405099033566701059250864490953030075328517327017882918730657598206248596461610825830007537104961896180426636139953068524093622330977040792456768876735045328307573381362424506313474807058048958802699937750339421099481435629352972672147407383758729976713970383356384207440789784261241246799713597521838670235679812496507760809920068420592703928806522820485308077756101050440721198720850254615448618269116496908549182149428883692831056918420542378371833723295386016900380091495859940612720048325409690367204150220915140141316387989010438281828751626064957945000420011160419653150257989927713328868542054750990207520083986553442160748396286836694994450127682170628120144594284707678622535365991808899998444520298507723267601639814175065421081470263355230453022481754104325682345112551980634509864464763117218897256868448403105171912302857929966465199708339910377897220950005654408046244529266981712815832739156084930388340975455219174241113091644238685350525828564192137661127029440723516670105043141605690810505389644779299816480642549141767692615383582678570314495742330840139191447980468021126487783748707567100368673440275347212848154636348932851139143827811727195527884353834472258156286634482928923117867677762791931516817497800055774541281811483806131189356072898537058265384951629137676052194516504792055104876950825432256268092262019167910207023005268865116382366311728076738496914236414903103052054186771353822886366906682307831431125366251454712871962700174021185143267838343567225706747946761889163867937545912727242968901955191733966835913702339783355602839843349423984436797142031239296266781303922513735210878903993416208869013652519939961375477343466621092797106841117251340345866798374501988633554814483111973510304684592975581631463922349605590813227183504369132708821356158617381871126727795890149272728914198937986298405124879878894125677842043
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 66 of the certificate chain of a 4,505-digit prime (457 intermediate primes).

Certified number4,505-digit prime
Certificatedownload
Certificate chainshow step 66 of 457

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004823772338 --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":1100000004823772338},"decimal":true,"detail":2}}'