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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 #1100000009071047580 2,272 digits created 2026-08-10

Value

8531657359147758232694385998759209941279094074421667183124514593018850032197508031375919992381476910782700030275947760247881716007338956993241608506664699570769325466403443793693643308706628823077237732748463665939046776986562289184231888722176148881025868460417718884630027321733593922418287323984537631296147831973991172917088774650734418949164905121427692498347767963216275636083252690338715736494581074486856920987404224921217347578122857365252710958480875162820578793784466055006598638000119221701040454922159613389295324081088970294574231151816641691342409646509805291067832514031251943161115000173406435841295237092885661522722288641508734994667364405457487181805947146451372183966983168831796501920619887498475345010349212411613311838249183029905009976911972208089497509225218693360846154459938275753636418035403919126235047032250070198892760983506939829568001080027952426596423731534996789181687909213766652497339776229663875442544320897871397706528992893170356163987890572224673415961853584378750104975403853980924590047480014422834179202349195597708477253298681852421804761059709340436948553115369081073166569648566314868924716626307369528709904277178456736024227830366279987917947955231145642947147635237607247110430291058192114237875076943350259522100922808376667711794119235044824607608287858197988117762535738875911986736283100228377898664635641037519842592311520642435563978918854601314511074737270978558505995179866088368617737419714107876893784062112374579094977550457694102762058427338127478632496500972677271564886192614537569571682944525923410719157580039814450364309687486130488711976215506859660806724410383951685541280263922056438088693718944558606454294596562211419610307889191279984485411622678514633744517549993563012693918025729206323717531252335893540858156768934016201860410285236763961291133285219996540531897271181514859354382148328085806360768465091315927722931454699599927608354586847941495520445831801199415620886891843979637442139089299735602148227036794278088285193023359231921316183279195598697403619458523832811996320769798409972371726989277875400762805118711241436993143810040417150775863620605790739646218825235433120287559437307998591511766472185689121735563669632761811846025087296101704626387840890801307217701159842489525929459
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 33 of the certificate chain of a 2,643-digit prime (201 intermediate primes).

Certified number2,643-digit prime
Certificatedownload
Certificate chainshow step 33 of 201

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009071047580 --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":1100000009071047580},"decimal":true,"detail":2}}'