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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 #1100000010596758349 2,984 digits created 2026-10-06

Value

21124142536977419347290028794569652963497414290652373396086802963547393531368944616250243989193865013689280596332773015475728987118638468495536670705645235314147242779816080995607857297311289175076914118242055112493135618273180879129096319139613020610973722133243083823140145712368147508291472635572614372723945926067440529666727365162145179948835050378892584367360252702004318311130306099959683342135464094407308128495789715143445448660591821935596429278629212780939340711459181405252389648116065133464995459315129705694392648797923188527464162016713528912919286735765196585782217577468643561046226279997989920878417644799852167172111820380642978520918348194793499219173032556778104796304908459314431002437974332971252374481020984839909156927805871419873823576285932075944278381093873723802021588664103006146532920725597823120386331337923007781174610026581453983617247915418061248005484501166646089246652254859935064219662987939558797878137724165446081742224396484993194520498160937865677909620615584391217570088482027351627067765214925099875548058853727960420160527901951070944860948246385079765617604767203110058551538638631060680495643424032072155508338173351232140382159906943616294122606026032960912868263220211137873280851738340362902557914064007906649580505576276518275424304454533615035854955033969605656930071979121402763997619104836065312311999025240322576985310093121204261542223205520018486148454644471486371163275670349940082469418936685721618068329210890729938441431309787806110169619817441709543092546981206471858479339376157001112945484901071463963891152815909317582613739978218966837756342209608517654710569401873146804364799833836979809838255328472077737491742657019488033136315597049528367108915806848897376092729778581082343418761054844430950377783176357787558318349514353772787419237572806142731840154072848210414594883743566778619356802941043119074446868640238893140765542682808487795806268768102684297701698719114250240042519690583184697973296125362432024796861882132985833947272932476733471892822405721383864633764733341577527997144519874488730694426004040131570193167186483794557911619943548218843455528792648276211071022751224641403256577312418270141604719893459196440897835881994375183455271853027681811939244170205261643631842550443944756306879918749045111094974195525272584264397021091311665112151307306790412271855322890787554698376231481829161449790228797793274739114981410178835957045790156814881226960846833297342645012336033538044757020945103657565237380786971796957757304629542429155520199030201486067422846860106932246136546499579129335279536105178254686457980541380655758476426628973455152375799624961926512720741420562910164824712998333885286670612831686490510011081596045903253137005649270688278437836753985899716462148736031132261794471678902537104962016947480233212502767320600139991686014567518370299052244922175163839838054195005229738696182477619648271028574001006938896058266400542038915518033609235155034789625710967350028943728432597711
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 19 of the certificate chain of a 3,203-digit prime (331 intermediate primes).

Certified number3,203-digit prime
Certificatedownload
Certificate chainshow step 19 of 331

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010596758349 --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":1100000010596758349},"decimal":true,"detail":2}}'