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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 #1100000007512648013 3,864 digits created 2024-10-09

Value

313328260104042897087072844404013831205410171249346166349006293213973448253226616087521071633503669459474186386773754430332252110686840936219445884132345090720759782015835665507421085548616359405311081419293282610977778640645842402295606869853694213801974454845293151781996308077015177350663547128348604394006912609401093281459836259007299769132345486004659326237774345188556722404270098962172299091869259235130667779054390828857232440567957098447654675990549168856430417915364504651899616926688745693434836996501316071096745103505435152635163342726326954680540133448131349354918868538169219753620244998145079324870604639735368981483193563762264426749086416625285726432173769566679945179381394274815531680383210797670265737120203243892254694882621303820011588111290799057574085106277010398458717380986801265275709427658076583390384100941006822378029707493113650302848594441707403169459150239068847658175777818658919011261435606603117108780685300141002064254689836945728717923283730958568240312586386587022934612236590300282274547230410819578370122320566619270607064455904762912864256038994319619034455762642725974474699370474055916136116986607761109118736154039082089797234011568148481575600175471926335453004132895163509034836571833360285311226789089944220222354373725018412977015844105427950322748950683354916624062069214890395440483843782843845141503363236902751856017537749354679016019670558903369090965352800546369609596343153531574656063565514265537279482569789597678060488729013120382981734650386388171536230727048399456457830307321708982896980418531426418079080000489570869147269491698105578458801070884345107849828438667323762037241349400467622805878677533287519531742712776301105642827968236433223674775953615489826987170933557052445020604456970007273840517246203643527553435422121858723213320805468689846048450562326413303496397114907825700221311952311859924711601820936869081336496030886150339760930582452636057225550062053410084844175607509835253422402076802964095832095530411331999958577784289211405381425594461452585683666245869619052826328821085872291453569904416514158281414614609173113370693864638042322747704702743417050597423076907049724416845033373972068830145886620786611622451161708214785520428581290082586343197570343636462324723243409106139628822985048806831930155544567554313854915942416040740036985433509572712857915141389340755121228527674762732875782560864603562529086688196852226341688470591164834271984854504258804072390343333157147221365384905107628849303720062082942471278259967099234304097261115970832391644945671619538525784917882197971548401939582371959938921359607885893216916874052906772551883883008283644377885995603577129771060372460888182692837466427711995081451218764238301887685623317481423637549052240616113544525029453710855924881403516111481998460872519147301264651622277923870447870392211698068797715542406788822802038127622505032129089892237608607248945976643079972284123516736240748151821346383046710251504332842114436687590989506134524618796206882426638530541392303336241704801107709650375915747174398644712486439096610832949773976202695780093167721724392054665580157345321623610677147607957561586790444467911024854525494990764135740895812140648908217000840967723815389782442541426270526399191946449024597197295369098231166751379938014064928495099500508548858318918672371554571101623995872943396924460746083874351552700209958056774852165705192085301628154725518876110598824191188245253667711974074264554223813780305742233290069139414593909136197370157102251171340074073245801249453567782509725929997334071294111389889784406069442019448754685993415506607820835265049964403465349864243878798702166074813629603640267820153809810436019581416715423130020030083108645559058934498358997440888191939833743828134061299954437800016710059170858556811531913105042463993466389662813648728012863135366925126397494080188676757037
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 16 of the certificate chain of a 4,097-digit prime (243 intermediate primes).

Certified number4,097-digit prime
Certificatedownload
Certificate chainshow step 16 of 243

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007512648013 --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":1100000007512648013},"decimal":true,"detail":2}}'