factordbrpc · fdb
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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 #1100000007100334222 3,161 digits created 2024-05-23

Value

23672637453450324781252547360196000129461300597937310363111900008467698703934056953382560447219878300634715251278220264181378426870642103980280832930031659300719284731534089596466407150286843459489306493757169983164687521297493925714660217902247217106722222530412517847411617300176689694333147157275764544081489030271807414474731766672210702971684754198907512633450151230809213518198079303680287419566755032984510263689444325184189304777278974521285921493234880253545909031555615290962803336806324422044684424505251751145392537850377594984120444846155675198348394524822215884717610717490302685660582623218641552835381088329490666442572871239453222279044333301975089639448235691570280475380792039462655919817176779083547901912975000082531483743468117886110273050142407624653423544374229183634098789779625391292888240811942534601886685147193489810614195035874182399520928673450104999637699602466137699861242770061168150535182557745883652151108226893767469860380685165652849149065994224094287052902778499085811349396586646953194443902876339101051714093604228475842180702673711143973744159003338959577286090781990561469029240939724821307361811847416993374874771407801248489145818416493409533408224282037051198309555405655756788342724023553257418802461309992637160528822930972296295937604216880159148700553042804853537544090441915439655206569239584894494200311211561235221550617312226177313565413299827668705597780980909621962493535982767544590856141940093293148587169186630297723864990521790445936450198386017695255184506092154093213239312973356784017911307353619968078077015716015737692305704891567133849131619031052828816515809774006985778221321811296362617108602087625699912114092832541451359202709223170712900524499398627223955650196210469518643249550241760915812446267932561868145508845892007786316807586085101665738808296518878028295621217112155767360395001038983972691522977732527398237302604471479259938186486826654815153203826392539689757549378083760509199932027825135201897395272863405840191547360924940076937841058500225895070847706323212312537894974313304666018257859993570405777478121999160568194813087497207268212503285307036029131193449380228159579724560616317567461067054662137297263755021256054870373151775333369502006024556118892937741947151090521591771622301680150294187063859255754656229825163985109180144234018508626695328541531186758672972516564794577143049275781273175383273387303362176166696845787609764723839468966481704804925169668727935446791059010937700926336965177887718537203882713827142817515866541486905701627602315759275820940101570778953441991320379529442062224071914570932894604458829610715616825549453981827779110167771425692346419236487342128857754411496800981101962191810937869875853707962623423291634257257065647713149747945371523548979010223455478067703691521339399757107803781057587048302043593260574185640064956823699106310166868768936872629362307421982975639697065000641467968553791182626118553372771100027300207660487740547715477617922307816007814715604165202959039021587844410824614992300583481714418932889038536388744221245313378523182073246364254500123825981969984110078367794678013962088653944426979917464700513952979
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 24 of the certificate chain of a 3,454-digit prime (223 intermediate primes).

Certified number3,454-digit prime
Certificatedownload
Certificate chainshow step 24 of 223

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007100334222 --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":1100000007100334222},"decimal":true,"detail":2}}'