factordbrpc · fdb
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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 #1100000009130372733 2,808 digits created 2026-09-02

Value

344749331795449931811312868777574815413581005001513252340979508054171104604982745585011551101292248705940722875741727785001115674394289420251780446209073164113706099931623867562721614437152078128226849107799457353180606357234860975736525189400423674126132939407630099308358601279966090380137928186467848375962065167438729077389400720667879827289012820648504003244852350265369949461438826885950638746139018801856737225343971665826111328130689292342458247820724312114516709141219076894665539101665847615557652000745623107565483858556835483356751009555948912225021413208660449317388735043405472625523884617060865266162567638259629871758777436280547265217727437151078407757845791005586919590812749133931968201454427414895534287109188063957270935882974854474413087607447227850534446195322559922740848366804091329383410324184735232009715927037287274829083812647377393486767127220844861877571419921815934987361653996008993783560628812533897299864035540364446886213588511484458429185829741328056394163277770224277686377707084011024405326488785494506454443563790446075473564619504560548186332556213901318357515306673203050457326391972962541180995318210398483817244378463119849208482735272190279717084634348962154787860587983015966366334901597108299779777889368374317602795259745117002798063851874732362954498820280058308729491503032038269073432860855482879509346976932157459714616128092351670835715023604839169404352503598180383924716344570774816252903381338075564356362450046418398937154056478791590456438041967641938086756646334446362131222936743439985925610590997466169090098465900356439008200671843181262892658398565594101400022200771907005297383913063662985799839720133856221359825318678431042747015471124669310451059705346031347574768416605246768240789224008832164470450132298699722996237405919761551135968524483998392125354693339104419387792390570098479507112055942822683956421894843736836888906721847075138459714861078645578139026126957060773941789948020139849416968155006998868450066187516899950494467718296265103128187528600896867460944749781467529298864543625392774784329473800087952963293711603423511843125331231404867432917382028700207544870465464824075178239093034763423966534575950693641554942971003582977802415355794354844687898803805493676822773161897689548581537480023791759656728726601799060098438748531780660047389020231854715945047809143886649622679941090524934168935113769397488691016464171644464752884472810096649814889497120216991813731823039226993463203565442663597195939537293324407864020950525677157860891067044134254669094998733299543243972850203071848367721864252084001214087643228085687547820058962229757531927737079112752108226219921701995467785470248019213850540265045916155596562246083509862890110780580971831907891857404825504443323567464750834494064839536266869925816217924665664161
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 35 of the certificate chain of a 3,159-digit prime (305 intermediate primes).

Certified number3,159-digit prime
Certificatedownload
Certificate chainshow step 35 of 305

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009130372733 --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":1100000009130372733},"decimal":true,"detail":2}}'