factordbrpc · fdb
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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 #1100000009053385042 2,433 digits created 2026-08-07

Value

218226643836385348873186412544206276782080585986245502444570057101237255441124151717307474255589153067498363793702040633633398805684202126953320988276925260502731525256748311405704602752357869524588181915466411282857978402618355490742732086397283159991821617089677196230459627453720142868763857699102180327381843073000443834235570461053781478398516749578854978266214787433711616801666686513180990541089214637058710248853868602180802593565974286709200607897588809655771457047913704449867227237948183349029607628264552212505295769472080740411449673417266706949559071168204897065405372586436253958077537896882771049334708370867122012143240645922820901135491925982213579591251499820099283139345242400525046628117709354240185485461781988358788570386332175209412378618460490426600093611879386293220666218012629576403981846484211639794180720754160402804646758282823854922056502538960633691830464753309227515469636962780725809286973947907916699486678907143823956939888593970337881036947990692579602176902652628948245040406451129322609614123685103824711861003993714465324844081935545598100850050943494648974065209772437935215026418928423800976661180160637841524535011107590104843388836142001799720472266326445657041230138099174612738950520617432461482290141565644665437429553915557690346265349293117185544986105540557289995322353454809968682919234197022468860491582201669785214284501567498554376805746652240295710187164592659342858577400152471867556654006811556059926742918555781370984822700129114291109999500305498683553276303535756714269145364753749321524630017583053796079904590492612416768138575154115318448042786987981502969206923443882782376383878185049187320841669855295536422765220267406959125505630558434305555085962150485189796216153034329139321546991702594374712631491459342556198606268161318136834796588178358864437281167126547202341211738066554315395582854647042557260381357174235496120121840255966761847372287505244652184841727724851302795873621075752147102919078546709651743742125590637614108672766158624615860707104514597127074570304036140831046688470561208943898354109655716599011651743729186242240200877221553796786870643784281236487104800892428068995405053175287581567140556664030854959942461620825122761087829493869918725779163264757545589725722589232855790335862429124367499297355338386224850634688770578083389477222027405840094908781493009524066693001006509664491378798497823804067133557881027550218695780944505698653117
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 7 of the certificate chain of a 2,500-digit prime (190 intermediate primes).

Certified number2,500-digit prime
Certificatedownload
Certificate chainshow step 7 of 190

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009053385042 --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":1100000009053385042},"decimal":true,"detail":2}}'