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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 #1100000004825892140 2,478 digits created 2023-10-24

Value

216021125004198330663159165911470763091289602627883011549392913576935792770472039359849430872530916947338193285069653172286622337975671749759937387872577658184856670180808722421902160228652989110724035733322538875831809060367130393624975054990129868520058218504684541469023338555117081523148688683069643461034155968140763152274508594231243879355667508306930422751896886186853559238847989571731771013748727999389878857774967713736795492730084003492541752562275821922073358194079640166778254826560065446118115338513158184742873786561821980665962883747141402964762937497904344660790578434381239544053419178858495816672733276756553735857544978818469614358866615033052306258841607984100693169408104797989915592495688154215098803059244026225949083804709917013503632036334168086144536063168191471784784301460610746971380961638870550257423364976946172093889446561414008756723510423272767823903303694843606800242060917341080559232422481143048281637726478109572817303153722866962817108342597871552879412259290549969980884326067928102951258289420253424477128224507955796602908475483869001603311236490665004417797470472807231588924056193927039473423919058420919553995920307195192926836973307801029475876943002534556737251818622292371675566823179416004578388049339709618494861350444233285056485475179025144027125815166967423468856894040270192700785154882658421982729945468202873457208343594810034848710134683451804745108487763698646875982226904541679714346848873536499957379934780869074470429102252306739286434682675676334913752922173215077577846002126992166460113299913115274658463031748612170081268821410341366720360260151863784298142390024856067705470118193062632756782314584164488498145594470455225072998488326963286042080744854979130078921180512565674072374049093682361424905094922027365777525894647698106356969961171413605707838728390625595111527389269014687053437169838102667268128891825928199394483382774488907541959712779786028710891186635376072801951236409858136576683025683957012190208468364397220779759323481377506625400415276303668212191137290688146434180959298114604345155954699193521974302579896823483735459983207888240093072430322983542291548397045666044632602382872315311858245769908476158417179052373029578942030815190965797992918756115782124356252915293405608975431660795606696594615346208027789626642999960001306502671780007919892917167899770523363154274842899298263712628458205047098451707619333300807198220411950288909577003844946113897036385760777086709185627725734343
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 169 of the certificate chain of a 4,289-digit prime (441 intermediate primes).

Certified number4,289-digit prime
Certificatedownload
Certificate chainshow step 169 of 441

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004825892140 --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":1100000004825892140},"decimal":true,"detail":2}}'