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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 #1100000009066782183 2,075 digits created 2026-08-10

Value

31991067251383844382637652233286168541588077893488170432151921803991079840861030939847024644411181533664028232678069908644337520531264920190819190562893177279832813160691267239711935327065351179342837754037614348358203748908494154692112344491447091341220747619083478824624606569271859955401295094608059566644466105919423664444566459157516562414527269551609677759067190733530858812908773999214807546818923135360501289528087129840632614476017057152557939078247960254578411639384281910044257116375830979749986397577267507533131555987298690154954768391448704177493562847178449729365600483950791521509200343985616018045297131292307491842766263533631811556647092078340863041152234312367862097263555531060956021342006196792040791859283111471510606010367282344306202286301140231481952134967281857491102915801388499346379130322035683534158468686659394581226677458026952849941681362698080305101925239228866018810331796428130454027770104500318238797686036194129544836469458778455057304657279429956164709697542540123303065758420723972674740604335002234226241728163509502865060555741338308357496952868826430969644664957953393913304798516540523585191057891612467766862870320310509252926895757307407907794736100283694342891432836274244246578790033809415283295785941698794361310615901913339284873467467394413410835204389799120543049890881497636665400909008243224470838587368248783551422683946329354697497252910755765660060129208125441011360778159007361023116869017516904450289494050839207804419181824347972968237668650369566911611855859235224891004712777263208901800827066181984964066974629133295583042747065755774964045337468731544069068267280693349506184422787765577379737864891629066446244276620541160760424966384186403814147927233682767645609559672597206226389286654428374371645148487261161141301388520778237850582313458237862016653897712602925577848872968608236855742127545581971422758808312261605140494759687459460135691752665434731294844400289033361047342118157723577414733330806936848690102045331226159562791564150832408229598528713462711989114425360913200509894859447424983611731183
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 49 of the certificate chain of a 2,637-digit prime (200 intermediate primes).

Certified number2,637-digit prime
Certificatedownload
Certificate chainshow step 49 of 200

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009066782183 --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":1100000009066782183},"decimal":true,"detail":2}}'