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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 #1100000009068423164 2,217 digits created 2026-08-10

Value

301381300258779842799402043782598787475374910132726990428545586987191333481042819131155914401025915934059298815358085292481685000225130489431610478017027206742014343043037784817023967570921501697773332033192187615267313561857953986724534796773672442238177618927885108111284753060613047607866714070085329080385256899641532497373717502767015877642947486291472766958090258546982657347861030083724269156366781274097298414674442454334869015156885382437330881768378436458808554917914795426109746001017887918510105474163930093342587914100089716599468595068410398977772578160477329053439035108259401616096052315344904285780231917996617159737865766316273794436267366416015121784270997775892790703320633946822577437348365079489195457302526716794469781959890650981241552434633369274909205270047133871033844595741932326449455948338773842976703497232774045568219489605021813005115409925992129402216175784075448476680999807871858944677546742397449303366927801304182180783106025902555596756666193430860311633874231475307257343591860831862123352069404211448972495414630197600483327329038337458750259719122148936858782681616023919155220372858319239612720956184005266385239379247780895669799839870997439911710162984044768276107519520242204313097371177181486964531344089765294834251368867848690908874798183369848982191765206667429533822975172679599111127351046881092956413498424487351771230241681075630354291450585663765766010907578276665415004972718147090128749819801913801597122160291434525545971463872591905687738810833632551027378640845712189518763637054902586142643117682989066655452255994248201733577512144280601821094564037751835706701049331937994625962048757220201742036387458109632748307546703189994961508088461568911117458626799931240606532776053667100509766957603638269607737866641549886303556315713725057528395825227748802870569014419350500231094809976818802092881753105808505140032045026589851351882784615184606450787021280609281051127255129127729863233276527540304794860930798289187541493187688114035239734681616608563543811905866705422523071945014646380099238171300462668629850475168287066810639060092303440992745711500332241343674533564964384302766086744130034563799244907491579166864079915961518617095087721308368807749
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 55 of the certificate chain of a 2,927-digit prime (214 intermediate primes).

Certified number2,927-digit prime
Certificatedownload
Certificate chainshow step 55 of 214

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009068423164 --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":1100000009068423164},"decimal":true,"detail":2}}'