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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 #1100000009123228175 2,058 digits created 2026-08-30

Value

513338689028520869881088742041041377594866017844362774563340607606169543634822971506171393352828301775024944697165347349404952231840662822408845228296599716346640495564884870416619974760970854847770737496779655148990483262364682649763092090900002270985208749317506392606320810658934276877439344543351742829054566528809945875117392968495256134617578623145659555184502402515173979989795842466678225339234370495721636646107544494291626678710795046227413736120544025839566960738606427718976109565702149540245001448065838926923987889737282517250839696343862407852405642979828234785920522254424585306752363579982788093169842057901924982422604514658093726921734444333510477952459850603596353907497525428008490069474710339175860310911315347871347907739802477515411783520379487681180332150975591841420595191805427331473418039792444057380491185671332459523474046860705189985781296426799279250097569294052501662964422295542206862785357263888231153517385927990148385963703326343811603035629667497541031663477477697960552654762774292748882184716626314172556511703349268258281133791898323400134502738779246297145794164255107282055774507870142677450632997558178506741004236254995466908472242126526615359455015823158972052531713169414790558708040585158619189867489921552165901668927088718577820132409791960017417319766018198350732353505844888787243921149148787831014717552058541511671918863012235296700973253655119123893243224401480322923205471397035655298990425917029423752339947867465087266351444229869782400986859021995172596539841209460624955685105588757299392439162706690956405535937384695976340765981813412403904501506396789975822062348599503889252206868975637144404724221801484427127524006520352983984109743142377734760626634184486094888998413282752069353829142881009648140609964506879759945065778018991769587494488679382868370929175724739174698017833683364933976678731538907673106681243980824292860538882297928219448097907147718344785222966068916995047619835825834010594918128587144442927452804558086090857446757787978763599902088715526655810118167229423898564738221
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 95 of the certificate chain of a 3,079-digit prime (311 intermediate primes).

Certified number3,079-digit prime
Certificatedownload
Certificate chainshow step 95 of 311

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009123228175 --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":1100000009123228175},"decimal":true,"detail":2}}'