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 #1100000009075279005 2,204 digits created 2026-08-11

Value

16873104728825654093951345559327981343619831937187782045562030339203767816313772915411608301589464873286176178544686086549441949938640435312973096934246128282152760432420593311415365578312082577497551310151359995837935644144724525401732784546470659085287689567999119420631289400070163131909432919708070070383415572192824242777863078973139468204384967655143623003310650292266517837520873827299779225562596052053704891998342942016620759655903590968622197442284287763766084538648502106516355202783611591662917547542497967850751334847609556882492411409425898785829995068683542427615567632311312313916240565245163614446257517271244230008099206913973041250530846698325777347317123255791401662982505607604499681924472409936893744390847588215328114786171272485344801266977195786771500258872618319430493722969363779473237596141759637454683039942608119893676010584514583482998708011784910721953400715863854586987990147327370300204343946280822724872196879240001911892406139614710886395001242333617012939494209990781281074901687476704746848079803516441336205615794188550161081044158759501223421906949549735054957628450820999490351855224538740578530230678629047304593548990612143296485584252258091291744865809649119282775827813410457760907970539784533653705751524331839493878939594958438778892669480952908658600203313109123832860657457829946708523338840179873956703713895035294045327763451030372292567342016688629027577547087752169127050607322066207655232759548304262994987187577801485811338375081772300969158862044888169996714878462267220374419887773820657933924382374975792690683353258056316941140077836170032088720720985080970584658387097996320834077095160907299460696273301053219617113726383491370333698408323723020802718146600803579391180175971325038364664386052622723939152214809578128449376694041875460103888662020335993543736856097236636970384163068633409378627248604737401510977926846970877601224189971677665595490735323265089713706267319017581106105225057867021376695212256880629335679091933002195840276136119909028767838641297220374144409711378321512412555736313609035188371625967680108993522108872914391132842562435976993488555725729213471221490485261932345003099569887445844735820374769379362841588391629
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 36 of the certificate chain of a 2,656-digit prime (204 intermediate primes).

Certified number2,656-digit prime
Certificatedownload
Certificate chainshow step 36 of 204

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009075279005 --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":1100000009075279005},"decimal":true,"detail":2}}'