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 #1100000009078253441 1,648 digits created 2026-08-12

Value

1908114390617947726734103348971690441736674445869704290020534130093695409897386064551488074479899837468838214661970727099034549361502853821901780867988109151302261042515837667338090640013166918424594263543626284290659471516034997601499060341776708091008150975569679251471967698451711162325109862887163781393884391576541198553860880535971655615119744733190601445123403722589390105019626122309170227192112758969950307389213389084188004424464550218714342743268730219616304965336249696476777571375140639600082544750028098332586075336057032728274232925910829944640089024600645439090249706025688335701601926651010533050829731002344716204195603103517661213577287992076422432953798516688536720447071056097423414662815399163577195611203177611567359107822526153739741478163075935802107304190880428491709208327506875175692369660779266815753587784302102046441847337400806723303805046030365499454835386076576761934031892676914517574781711336255398232743519418311794428223630375403195356946037774602755837338444460448448167974663446229377074695985187534509396811823588673780604431843756779018791061818808274237536758337906722383129886134611509092138353805427352951360053921670117291451653379814031994128269649741175027118390617120556103800035761334483217376520634974221892491600315903415092226632269748286194410830957536279723145035133505698346566998757143301494245691319987707674162839360615376565338012167599024944397897650214042335906236194880912068408567158441275643215600814949157492276566988946325981899837510775746190605853691688202800046780635126528462090664183634694348032099114240091780550682796335716665679780149528873131392525033058508305580424722321
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 41 of the certificate chain of a 2,147-digit prime (168 intermediate primes).

Certified number2,147-digit prime
Certificatedownload
Certificate chainshow step 41 of 168

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078253441 --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":1100000009078253441},"decimal":true,"detail":2}}'