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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 #1100000009130219375 2,643 digits created 2026-09-02

Value

265419839298719496561882717924740921417997050118799540834754156090649736990632708699577927308062915588849260694645942865068572387129482870807004377310749231912406881887770686953774426769643991191442455786006255935495006165085037255424021289653960809444627614632140646483140042446732493257745503640274110528303621263640507004213560367009171030267620104656936307118335660902732121535991239385151185448072357781713113456550834045944683271108192314020362346386289361136638952094897604755001462445320371441827678940595462173154511488528527881517544925045643974660014656157099218063334857071863704237817152745683191169705497082509137157138257898260236282464780789488458145306160663040721349711697949291081392477594742471353733251455642608992834674075404249239199816398297743958481212793449138403724551907171886733592844135759787113942386252530074406346058528274532009177696742215077178292292035619857638908851196303878766996679550409484328691433488656742300727951663181960044602856434977036792381851122969881592370281615200715492951229477136969798385345736237201585315585207302164691793694861788302719547118823790408164915336669181243984281555461256470974855359835123918730128755808674304792717497889208147913201382196091778278622236983724519414367440997061453036045533399520768432647835038896502288950873574213816910270691774666436973486312536987846023715203950677704660092572787960486973144228270828021665426697098421064339701815948747199782599352342252596215933983232983283307965590578423255321064354156150981579743592753678655028401174689031814693410578533234807126427274328280966541922284098991598771151915723647692164778490527380612373275814568044271006709105369335997576099114946382500631882121040596984776820185723524379726179752608227446769168948322262084813803355811535493749072438653498397104027143922280306564095140439032686276713993717281890075256424209238958335377951435475059984408677054360117440948163131514934661436117432456751027195421161516656329468841546123859028842916067722098558124435464981365331568950480844730981524786505152158897910129794131145507849973481106506363699856291391308320425202985701542211565845433957008378606315457178247256936447099492577848505161122538985496185735669489292336510544101920392909639781652869003754597829115660608679275214997664259639748918140160337448108151367082899166727579083547053689713706111035502607486702295982847058160555074918020202216935707454999284973035957168607669345083131961625128772263905707559190412038727836526007553954936544600373315281907985083174586410487708047881551319391693292416454988082907860746119321140727422171078445247899494351022452563137822723210689365688728187
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 46 of the certificate chain of a 3,156-digit prime (316 intermediate primes).

Certified number3,156-digit prime
Certificatedownload
Certificate chainshow step 46 of 316

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009130219375 --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":1100000009130219375},"decimal":true,"detail":2}}'