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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 #1100000009112552641 2,081 digits created 2026-08-27

Value

17516166422376781474617277535588661352034525681854192288003023853797979054562190718304551247345000799238003298686853495282276503740313513213870879449598622252718488063414093747559118627681680109364894894423839423791339299784757662891217676225980428712140572434768085682337201458287313862414980766123316494835306609402525585795855320377297208008271687033907777727464450263638561260569907132166571155453271521053222117684488009232774207358723273887790766684623076783134475446994518661934756659295007085531222313344268290014299614163998188310310357214729921532361322794511609897468208847727832173782505888467176060610033437498232227947931932173701971361521108259861454044056807032637322802516941751414832589097824969144716073459698851541844914137868254803316712273860615491285499051340718645183848663607323235468211069563790886524050860907751480839224569044503030979600326320436968669553282631027514347173173959772759244181125518883286559566505029245179576606223344136369931419653166138009390033356771070579520399413979826254463315823977854899118027814084428892418209053128681498836539567059211131794368237869785372745712045073073350401425172922747487587856312341452742792226187021634119307044271302427202414528126148510941472136970388512168805165310704390037730010127799660762833139937181563324285433567557653112660745348196536876365293994450753160317203189536598357173272801954499870277512582966571183138311357743549408004614106826966731597824728905264681266041870007978237570750187376533993765826834597255778657909026966020691367948995962284787889533268499399249270274674246612617867166963666917611065183542352869693309632514996595867336485840006590239076767071194553823457437880387394029657355268997128349126830414050588761017481782773823813118795617949277658232848587269900493632387268249067241368847695974381115488045526965792021695042195216464253120036881238870864119363504397955902346238971352410508893451570552559508009537805671030684208254582454876881826924935790620119927547563042252683213737626173468958936379070920132055671415031946622886542163604162224785308269797709123
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 68 of the certificate chain of a 3,007-digit prime (215 intermediate primes).

Certified number3,007-digit prime
Certificatedownload
Certificate chainshow step 68 of 215

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009112552641 --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":1100000009112552641},"decimal":true,"detail":2}}'