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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 #1100000009131611528 2,963 digits created 2026-09-03

Value

21954556005257461485443313437865030500734740658146676496207190483887267271891802877409175336234254078200527816365625635943163762179934790560919742128694849467503067998364671629205767402783982742280836100012914759834480407808238169340300191891134348571301039674634186770467401037362771100395649512551295264942845201536367562352748871858023028639378724531695780282506840097624276690203210632851139565199470780898726246550835262857376542153278016310765647815108205344155492171935406841242308413276960919451884689131921082782285779937888645182308323915275727045430706429216976748496067659561811662033201091186086662093371542970648212911754742011380638624588659516211353051230311257449991500034607702870208864008303884766222805880350956621664199001958914703069364959769552672413634965908259422734500211964338151971983644272889224767946012240175826918486352512163550666345847578998897645526520465905305747658498517112609009541163625241942374686796750803425086416381878445255154974654936020265681256693576139152879882630910282944573817838384198634429523735891976833136498025319291846226921664024889414462879151357121316419216391450165301535569654104658581345378590323105839329350866187068553659905838599989829465605376604062285654187297821601194143447930417172177442921292763546049093807352364252778313354474940101691346596718141912614296265732764698048348003993772011128212892294023055553887544905660961214635486870483598304667425807235944247763518440181924684829616605664129534136890366215655189443646214110150086869245722601659888792098340999851343871786323039181390600546172634807709418735877854996034469443366047161708874517062262321976316893253927004782752783187787308381481501089066870150134680075025569162270096720994569209867397319632735437643329633044052795777482395271554841285419680672679198180839778160697442611126206572220750464963545150557445894558683177517279763353830373143256567796351969214422403048708383231153695110534561210565855713807305281324559560100765727456493675163535315476085769281336558088257293693717335725819487124704453830329317657493858584784512227001503674194052933310955286209469051852090473985879611593558154164722723993963500309023299188751895559504296979206977780204606333406304760712078275040718361937230710992692238621381104228049221801069290484818494266423824068375304251261171057673630890404259847360603057777492778243941960375483560849566870124519574798431443885377595427217663028353740275819638204621391340930824516969549013626770291294487052436843718252974071603509494763541660981464376250527120854924822651445439045185508485014960601539356315401488785214224046171488842801312765305161240137236767075605948317361917005205672701090379552426508049448104908385391364052671953534861375048040824573079845680268768056826834211114935531119298757289863678815095765515333765512074702610544556042125855805223034107982498252232054130888673778024458287277852128846614517843746484651029709841998501811238275483679951489877907855144612713
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 20 of the certificate chain of a 3,162-digit prime (313 intermediate primes).

Certified number3,162-digit prime
Certificatedownload
Certificate chainshow step 20 of 313

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009131611528 --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":1100000009131611528},"decimal":true,"detail":2}}'