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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 #1100000009131612148 2,122 digits created 2026-09-03

Value

3604089141909349898468595178861367283954461369482275667472670650945304386137523154104767989691468393453842840174992091118093995302339645582507968803314563701567372939392655515201960546600078560466283823600963593251043969025343979451693655181043661318160841291827932265345931220170470668930949914495206110294665215662203132359205000933432278448042738828518870923294941834079814919706150616075263237212683609302355318559377965841420359595389031298443841412836958990149216016556220681997931999233672658779716494222479905204693763492637961103398945750318155136859153453376058593672736404974163233603300841868877161515078341541428155864047413328677657988919242901490747664742305306695767099129812301755981895819530440230471920999107383919038336047522024377284782577198572352118439330638914869666589227265118938813389211507398922271795102118738229934580270196926251810994366910875570410648068642763885982146937268032157739583991964390419846266381381631097288752462589660287326754505507296402998888818355922431379101319805399109246392155474131859015761513083409532207737594740980337501709738754965007672129523671843137846974348424581948342256726663845019780165240237656470346093598573223214190991996504907412242855289484007805220217360063869532590819965327714007241008764978331323639826814449206670896206905797549620271268597345335125852820956064859973599090609148547926975900396193136974582623346914988817084102396479655742408143989200102984838997329512273358737381434401284755405701419484050593488165139715794696171959188003164479575569529930481354679011852228671492626754548520186295640351079728407003557533376439687406267269385466203261892786127237509157070180629735390612068884288340634032270190028918857372658210060647202388294936375436386362045914567551834723766433231379287397630276177798683457898487621123042499148166181101347394632723439743898237876786753326647966024448628060417828019047280811027431588203878616542579566890131952532043285117173356241948518241618509758526862409404148999016667246848914559377895148615499673479260428284749392796061565532774236018006340086440748462735664460766113128619113637263954893849
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 99 of the certificate chain of a 3,162-digit prime (313 intermediate primes).

Certified number3,162-digit prime
Certificatedownload
Certificate chainshow step 99 of 313

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009131612148 --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":1100000009131612148},"decimal":true,"detail":2}}'