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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 #1100000005813184941 3,304 digits created 2024-01-27

Value

8278220152814764809368539292317636816613877209053689206464933420752196453482385758786860353228278003718499337299515759808268606745633289309777877880282719517343757427500164615145397250974187664135162031791845250032464683952178957228795386131695065156867543941851170711593048443971191357129507411321003213777368508368685696646490392903138466522680461520367266189761040785658967353370451409137657435683934106786472348016605484541631612735686672734542087214574334275305125577409886601454974913920793690294698324971662168465855694413792470129660768810517065006905320756285322111421295253648925886466824330461241472285713801942753304292429943006460989257978948388659844224011422878385760021231302403263233760526369466339094301562272545284126737211297652742320235087411694674411767079507022615507828541119916620683112886403525734368410844761882333011991465868940491041170805611840642826399674885079238489728274061745122600497663841778724961423271809932313504417549488659849579991519395345148246251226689899630058852607559312145456149902826941613746540118822260081635723775747776110718559373624185349974161174584664442383151378640123726634159892176303438026866460307225043817435389586922214489482609860116898166444689837829975374198752794413372422864996780585261580514678357370482754054074796272564972119468383142453567891137951394650755216907693514141306844474450106494281576419735332260555162899130013116878933990920627571493412555359910918944906550927124619255148977207666937407643546031619688957538204671026760545351312273376079769558200999893397782845899009532506230155792644640904325077404807201341941622313100988969692561560878579512638186766343077235984821144261084707880960355749816698982001026745956018077610300017324171155608151621768120380091654274529282015553542792628102311450448131586429572038133598478794195769946333451317749121471436309016290902456093177436079002646397728639518188866150460133408831051650492195061845204380084161382637257854652931880983948449975560320948926766230323426714411715985424964221470404589814920982044555384820682195015744828820188643895562743360830188383816887351916451697057512879331233993843225810512176919996188232550620299633772440812849034338197347696776955906635022515230687627780533169776890929281933049356420219027644965939263975157019814442885148693714356745928725076401769391370688303131823464212553619432911342782545009685852148320239686451794985770314629067087372628516406388285551484602404757970062229661973232396781517614501638651202012546167817217069552278550945303612996107293216242133710772837869296019201850088024438009316842800802022417908141290679045946062185321664796684303941998683557658910221824489000434090684104185812268321350311551978096706432472381668092719757158629161178216306218275850380174752485786887036363875549109322172587117444468169702522077915011666677119738200374034275670865215459243051881230421771008404758229021000089119563202233237276737658839975667989369274770619150496174336263721091798393958746633637141456931450312821025733342518147533081908425471360926432743278570848531740460612971898724275488529745288922774515672344362142701336250321462955562369443714235087692589884263513908761885872767234289109255813289162422230744400036287604215187463401627896861418424333767714076182426931616451464063091309726929522817171273591
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 3,553-digit prime (182 intermediate primes).

Certified number3,553-digit prime
Certificatedownload
Certificate chainshow step 15 of 182

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005813184941 --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":1100000005813184941},"decimal":true,"detail":2}}'