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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 #1100000009125549601 3,005 digits created 2026-08-31

Value

24831522618066779068247357374859965152612798925255960601870974818261635466523069034686082178304433382070634427690619503666849734718548351251729086026690477599273988203387362990560836874099610903833724945892975652531358761175539578101975985825467670363082344750915745593938096381402656544238390952532819728022389410477574237409691857768528072921670449752011101203782045224239248585158577082377762632606502068137395728596981770933723568206365112678684084472451171580597487108892978121028605397079436650659495164441884461330590718606365774139249281658269028090869098321606252946591764033539243994976695231478428887692548263899146663613457839141591336986727900328311098882282099620935738644096199456820406901543553462828531629799098253380036765787490261833392370527211531772968402501751710962968815567860046554305166961028318959277803864099226880346485696878137619661191168194490350374038786282642439045750358638862762361192783415714834241973838815462014982376330700459011105462109863264603940955164551330695050713672233701182963160940853716553401068211979615515791540844880170539473236849783312572778792396817950784519747313519425202141494693368144889080964243343370776833891280131446185771817189974068731810894977758456057646855591080747242657002045926052688469450045542765618215538049532293792986928918349550114691333743656120285094052490438117376191861319407465796781348968107876669784524511897097930272815974322566544365377595928587375447603158163325657724584336368502562260747457257577543518360596570313612306471707318154919970473776231900878351822005302325021509326361835133402935936507042226777527868716947072755112336555710233641231246068720117032293110029785813059714924219296818794606340547710553699827443833630097961641827254792814490861188038855072326557702103516260273769369209179538891623548823522541679773438779493776924333096286293087342896218092761428274928074186297791213577288510830704166833128057780808213424336692844187451217919881788491568716797880700010165309060239882101070959338523456454820273442881774523762329907711374350125208165666621759303115913348726723797111416560653627657042606955664155576191775029062493989060820373611542475311388515930841489054645214996817901473217333331723873504043588264513454760891892042038684002189359904567738277090807151443384007655236105361064404657732924667794298957796618464846189290151076752393687747343401609646052493161422172558215705561585729147028272835781943367950194428683824204893688686330657069464590812503716737966153930096671159984702486637418414952786996068856566661850365719193832647370927407272199684086270084559508808905679268077396436154211300651892016678158754837585062753298509875701561473076211464566866312050695385327613101410690153586250023164243592549382030943160893320040421408034230121793802520770082985849202164075978229333757385605721064159614789370857719216455358908018895897774214157862053570734604097699666354238657153778519533804078734660726559346211774783992421200340276185771052401046072224994381554028494919317127
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 9 of the certificate chain of a 3,089-digit prime (221 intermediate primes).

Certified number3,089-digit prime
Certificatedownload
Certificate chainshow step 9 of 221

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009125549601 --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":1100000009125549601},"decimal":true,"detail":2}}'