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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 #1100000004828085915 2,049 digits created 2023-10-24

Value

122011653162897775220055639894016550216286445560758034163587603340807193620681977865769121150587644684232788269797852060392718216864192785666148095070741242369189071472538954194494586395840616546046051113509489651649202981151409551530445143697275205794944735048573671179553556720655144495267759294519378182284361872669696347303853528433224036489611671961975638524705273523256312000853731402079942676901087991250180949220946630782852838745673551836147398946633607501079405936981387560172148118524155988357691844075710535641154207863309444828752132919874695135726749151890984578057897533940825366411290424092932494457577633997101795637077154984687598449280212143811031838613510349082599185633003278059455235519505429775190406482719695657142764452296937121978455593445399421828576392021711850568911023447767607522353504116249474189097117879792894187074127229998353828934655326333581017451753787678149646309190919164891735114328355771653168129173204137370395481319092702353684750358800622175237860479512011925469717098940839897700515193557020168669243288703282647988090531216546537981259395569042511269396125474882382406714137808441376641391524341284908753642729398838894041861471562722422413836558897995988376566997516872902875445902226394375268588610424272138707166116448982386490071624501493242974438089604398940726352405843664597517705315352731033850741810481027491005111150473742464038621021742352730597371955287343762713611415046342642968192650074907701717640662940842451695656477665481289921760924537168984473573414462524887676611887181001321628306139144082899113717443048291968589391791753630948166737847469028373060473467211916808754520783486942090074386102704031522600276206913209211585588110919481876870055877652129936853695178527779840233480175302435198109669399927679944535321922064520427663130740875302261122724756861062862810990418518808611107175911782814333663191962614879873733016661400895240962519047681744033020562841749156595753054867152256474392885606137424572506909378205642247282536419104419828170672691984049770376711312505021023
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 225 of the certificate chain of a 4,135-digit prime (452 intermediate primes).

Certified number4,135-digit prime
Certificatedownload
Certificate chainshow step 225 of 452

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828085915 --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":1100000004828085915},"decimal":true,"detail":2}}'