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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 #1100000008793173119 3,140 digits created 2026-05-07

Value

52370181440320776884356771733739775185738413178303757662008527746123922524167665474773630161784327671549539656368580596986056226517979660215151947926814580468237838198629910788891698947419238135472491016989709237316970752747036920691496732266194714225866938592702505554026653585679180149232585692449690742413451216883351290308569859526861265819559528647764139665045389494591748163894810855975512451347226607838416914277317373923385827532019852894659092988421471830528272238082628920870312807370222673653987840496934027465955595603628868913432653443618721534224239643234428837956299868404469282041462929815787818519271090789344532396118223607250812136865186881877616418863302275980959968825612795919297582084964717163970369134277699184237587309602865486658607539436974305015328765411482829207943567141715862566682991598563440285218289201739496601858201584345751738812756456630416028141697041755663760499293774090230558268669365671696671956887556823995952354341662696819871547170418351713893609734635281769727005852855340531117541469582092840802987530707820608216947449619958843855800257125131479652034524215196329117476217355041056719406947170620040407767463845038508623377168836728559990839373579910402307521086178680403581160660735594174739541729554360159482810378824734700463274035713298766931206841744282019779892820926649879957415914017193401497298986810524378499638454919130535830831605945827653662791607049547808830684298213897210480180667577168788513702969556267796624343783319475684699871710954093924096851289309346776576379285018098093035668267437561482752034056023653958387612353670305562811967996695764002805559735963091985670942215207211757670294089515743888810458739643833571997042136309848520903276219823700884866141204157146482343816103783201065824568588211331667878936780341688199657813050329329322338953682440760827786285294366071160358872133876644706096191879974170889337018670122056831990751726222291713049493794949344963086760323325335291421089674462451438437863608286516891231770397802242070665171021396064779156451114751203188051314139316216591552670318799569844268250459228091806451685748637523140114868575980539635487130368072441168731061957245377941659311497312314881435490950474225682953858157245032715137770081110741709917389175869653931179913938521490356074970573838192217497090450690507139739987054005895084989520417570083341803186520199196765652816567122062940727894617876062451280843493766297417191759731665666304763361137152950410454952126028264887793184162615787859143165717132262139429206288738937836176620639859435475710467640320621888098735266930522834381244105832770987414874415335923682141315273249485080401687772635085294283587762871853761600101324068374104142974358860371558680324959693905210300723050878083308757395530636814746051384674082816408924391842579289898770507372429118413369949088035815873921455326334971802959185241592438469747485159341593306701223979733210257518622678109180531443737560476079734596501444937479682113133393339153195814171129557732900909423951321051215469697610841941740474442255412631141532258541628400088788057296877371236464163988215685586965351180883158970162588230199
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 51 of the certificate chain of a 3,895-digit prime (244 intermediate primes).

Certified number3,895-digit prime
Certificatedownload
Certificate chainshow step 51 of 244

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008793173119 --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":1100000008793173119},"decimal":true,"detail":2}}'