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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 #1100000009126644313 2,122 digits created 2026-09-01

Value

7865069831842108506276498894459302227757024464903490105449743667416232340045393842920084427720816024383536600285916119577537253301149688243274177686982082707064430321159720228015895777936279465137506546301956574742969246592941672992794807048815347857724515203950594794918098849050309489241941245459343299369864221474941986582006449169436977435913089753766843536516581238945089250125134943263645343006493677024849259621412167794607702467215005304756863529547228557378526739922448426800509704763085494964753611397710344997428298816554753842744123816401949104950977908648667378229438467335214416734773740682812887142123552402386409043143094022141731928756490711606530198368732066935220543443909409337846302935115276257938890900473301415650975749771410398315424370057492662833697206463112580073848431902386677308849520773666229968693768769445275527916250181711689236797019340718990991485906554028723201539786698448981447796610719586830838116374882443723876573462447494354329541211664624610887629343831897106519637385516230011429548758949516826589364028144680861896941085387806612370560516942258448323220727803497185834165256042320032005463651139084302446828115462834805474075637242022063708594635663808535158729104272158148880902705426359365341814106302373366956717672694176738914302268259845542391226026292357884181626618357284461493396166195095186441549876008493131076600455844233232810538549765390168752114775603581354564947325512197646599048889408947889446147390686063634006426326327860667310053827119445320000813781194354703964158103768324648344039660932478361983405229837983526746587576675516328215261179304409184580951792906892477168722407849398610968267954615914036766597428178215912157508009904310704352865138316828783444115566184114724395015082575467860932583503259934697653970575425999368242054574340091474894776681716772271106842268678388542486456311031726700667052556903274254765549298476362534002879349440239168201322701650473377848478139000740845987873180143501176699993198161940661816748747946544743631479038252054611763494247017358524420611296746078102392257080768071008041804451314910060541782163728965032133
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 99 of the certificate chain of a 3,110-digit prime (313 intermediate primes).

Certified number3,110-digit prime
Certificatedownload
Certificate chainshow step 99 of 313

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009126644313 --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":1100000009126644313},"decimal":true,"detail":2}}'