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 #1100000009008068612 2,588 digits created 2026-07-27

Value

17667312184786230435726689446760281830157371251808252210271587136502444652688042047323474870459938517609734442940273588553729279392200910264742182850204585245087628758412947789410977730352364682050748554354383034498814760044155209756233885079033929792414981366554724451995311552521716660829026163813886744540124943868076565192635037662688652795905359420457612212272942524923866298615686038099934298556116692351840575285743746652604080852937759414215189124879100550563931177990630111349242493434000835453669902375298664919346999166523809219186870785734973906596849287211838793438037131284413181967096204218185223080586904518160053808182827690415582549224656445188163757129751257409624165042947138094093047388801372598886202249638616761310329080484983494825819567322043222632946545896228909345932928074949878338745595820431824370663675568088220376148216218974701861764352040542126644837472993092028470527803290268851778288482710736153866757003659597490819130898454735699161774995210559814155568046463157986031411099132412885113822127751896333762942290287053145515260734990933125920113031847400575856138595706816594024151138447461055911207912767766626309946745512651074471899354512964115404838827838260738324798929780962492677241027986782989298214456635489816031724694481987449825965722100227382623046004894367192147510285498811760164109670838175895097251590748907261524357454814339271229840842789095489271607008748080147054404766249170093488152332525123677956027446737615814628232384801889225780376568193878042034230574226843161963852235842362873897298022473452123712643435715198000639784203304703948628246691877906240207360938824878912118066915267083444936533720889524729234265520915831673476451984060302786762540660895917827871466952149385218991851125271786674003876462588714563505890913701973045762729438074590983688322226545159222804037929493616319731866189213431236890213774600188239884066969532590540271452294187708927710987111654710335948317434977483139743118937726907037576674916393940529753222263882706396824160845766886281815253871428333375534689937865218531700184650024472947683615104997204566895494343177313129239620505517290322586706262414538388318057611887760701507144149396887228712612879024769126267073645365543703387495884654704431444808948048490653785062611475933490591673367696105103973446710537113163295158769890072661673106916042331039701794804743106928210360964882144916459951500572672492704422363212081139767146032394135454433833980635710841847755417078092264356692983844128737056123954391259412911704151766294518771751213974156449949563656218249632623697192888042169
term 5152^697+697
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (2,588 digits).

Certificatedownload
Certificate chainshow steps
Uploaded byA.C.

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009008068612 --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":1100000009008068612},"decimal":true,"detail":2}}'