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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 #1100000007106567096 3,224 digits created 2024-05-24

Value

83849571231582586724508509910749967525374938066000880089115375363752667194590750352839084494789788033594164949837350588370296418736502806707377332313024572135260440199525621656754106844949442785293822401788908804722386371233027778598293787621260678969001514764539322830531252254010925059625656679719356609392746884164092380307687025270056564919297591091235067657562719636782095753292630935401078747274348803602905277011275857327895641964290026208351165146898481979317444644502430614111129502499193992042903190393896393142954478437925017869115848261849406593744334068543421715012427985839707244043969285275486651522486032528471204285689607649086952480416745370409029307887971155942637157429023573371778388110597402659773092502026682579228672207240909113670901687541511011609151122520396756619657926221437462459116175777011369822719302233841272600184417440122111806728735857338559753978291800283391867314666960466287357057751295891916839139529600307675472414017049648504597795272194164336135216339679730041315576189785907874960392683392221529619606385142883987779510985334431520548710640399319366687575037200923537088540711265846514656121800122298842461385631979454782395310490305883223060920334989941558725864961720326689169250263662015094142668928326357223745934515232878781754469236233382382927896322968336232290729256855419313989726394164593390027648613406392477120703556554540972109198087164662401556749462071324584659325335221228543159607054837542287627256563785394346322563424145384643310969095953491537170528430369925166169415961902071762500397521161259055795655241266275716101310968730319879534092452503977628227621975250871787675441305031838303911732169795498268404292257563787381620975429215840893033808579514969945024965451197045545917673865530687100433964920751091363506947873265262728315894083746304071219252911501149807403295696561391192938136502850570862503080011600200144529494902752517546339969237161610864456420683528347087927892911389680999802404994405406168065971561518819770692346564534387170023758005515594241231717957145935444204907370130165662999773167900709663910968059898251937138086936042287468273431179641470810878487097213855988414759149890387638051186381461438475368600324737091396262423730872688732413736944956898659755973605042443548610089616003002091026250185724226163361877947599319594088688610171550178099044634701277950730684992604892385749685813652230933962506181643628670355118654469482856607723756059301590254552955411152815255470191696824042574992854606708033643861170315304289701586443229011413801866790146444799717341152310149494108751067505534521733059436896426618081824729629993247696753297040835407029582633273198014024584633554761531917344846688464935384920490823357221543227202093611376107712705339553021037457720188618897951613092551887054624849148758286655449242245978158787570184486509555708400772667875474387988200224129667503723341889196721720620181636834402043009465710932561618021519564461656015524855981023256166747674698666818397279814442976565139958733241900710109038927395921661824144526947454938675782329437918266997470294582726083767103888810807364426532011589232537281619417608306506733178867779280035505061806112730353517527894677007825431459103541114870120615161
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 33 of the certificate chain of a 3,625-digit prime (264 intermediate primes).

Certified number3,625-digit prime
Certificatedownload
Certificate chainshow step 33 of 264

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007106567096 --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":1100000007106567096},"decimal":true,"detail":2}}'