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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 #1100000009078253501 1,482 digits created 2026-08-12

Value

541006393540486825809191191222174476131129389803446897327677340166132946222332867121283250140909529938442734228048844179764796206330549130344370177562322272772149917391414366487170118738332023397882164014144903202614878442940736395037132272083463118753125932210232947392138104564923086695982174959077549066838826291296197297016405579664945340457126146269017256052998647171294253324712061556334960188421610730769442516669367367906850940652841802664477122262917704400721395149001290460556776501844199632626906551716531210689036861831387217205938386706202598227578905399119020867389736063679763561923252413289394116368697176662585634194186767322725673395446869383352260287751497747327221299799590687345411438420244031323550372688001185403005626322319694233362446357641109137343843498310700277876339795212852148470260282782032340698330077507105365315255313398247537497017335307543716379167833588140101048755926901408807738442035501067141052408737510592515364068693325965937682116510296038652167555444759849196365600652610812843890111585990010780535926965522434342735963449926402208865208407051841170997320282457385201047988848954414506477136961444629207328677043921749753142707875485689929782644134303592296313491548488460330696282634543681163381576675749630907361648503553339858275486931171520124910138916280474364614952739111952715624039343456867376240757777889296458606812814922078274126473858112141963224871476598267661793606397585797965101740221303456292025164346473241019425283529
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 55 of the certificate chain of a 2,147-digit prime (168 intermediate primes).

Certified number2,147-digit prime
Certificatedownload
Certificate chainshow step 55 of 168

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009078253501 --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":1100000009078253501},"decimal":true,"detail":2}}'