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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 #1100000009131611743 2,683 digits created 2026-09-03

Value

2154531588577931231119478669483327424395543388149010612973505048383544299270752345740848603216410213357862414871571658550587162693818364987628781959987098114979977164323879296452445694599420313531183675284675055350776142531721138604218258999535177248684390938454917555123577221078717045578011538351377449096614825039599528102310010813933101820247565631728999138932061398847914699282302929431654410753190939445135760306505402566472574393009391259632154542325034739482499088260424196787783996552005007139561664744432989649760094697207583188905130207683028772477248966302636863371645194800642854464409896243550775301847423109216796884248286966558127896775971379647128135009830038678372545805526295802517493828640909664709021295051123769231939959330641598743840889726554042249789542597253346656919614020907141203224874439153399359769616526283835228990352911601909164796423515806463378863086036918647213455548110987364257760252100517119386960376831546525650236210484970826042358336945287620256014606012042723235708296828447550680226024447080920293083960660722595920715210190735975236362738249577810483846780826618511524194220550453660121196067408258292194158447473893747635911338929817473539855603655794815182058108838841574465085775665104434132208235629439665010179523254304944801747323205508584812271740241398752958969362206264067635391713146524022899802670894107836017166203868926063788036791059845436784523477631922989721755892150196548860725730196405336635863202159315086752031207587576943674199357514736069322709706339747788891509755845738357670100738763058592042324375358907849993495627130569932848992153680117321410957336854247284701004070140835614464854587344445803187468040882504394448574563728941727978491314463319040160177830130671052798129015997543494039234766590264843484555025052527789585017845375904752870970089758195330081800520469841207627949787399103287420601478598005847249966200539472271487316053358017264138255371347048460755240827450237482463283799305600130083092945261280523511053795245158677534664598413635102738318420758537645861442320292791757323488932553057236204651961580011760123600809278441491753840363198663998705340959937847779269339829089845278097139042569335807075551015409784949167328901642972426416534670036116827184081640806556857170998212777562538556593096956880165584288488473755956283897199607362505189304500852748397983685346752914854997339947924307245267079902090243122883141506708842983085942894729085476919451823874676508015940537918409655535237069000216325839333898759365963526590713504122124221516063993401679782929555940900704402622788267219575337908887399533664424728013263155369055254448868003602303993513334237546122748421226901485492111
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 46 of the certificate chain of a 3,162-digit prime (313 intermediate primes).

Certified number3,162-digit prime
Certificatedownload
Certificate chainshow step 46 of 313

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009131611743 --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":1100000009131611743},"decimal":true,"detail":2}}'