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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 #1100000009056498181 2,138 digits created 2026-08-08

Value

89208472235068237399886656509997249952866367180663381425270191531653941602636559812945220159270893039654406832449733695380955723025852358225208960133948372355437505619151544813710307140856258260362078265477871904053125413082973520616835643903922525681947904776730718715628540449532883022238379253672715097331130689860431560401060273171777702777147866427898931860991457294508686847355321668802779726956282754332621294159980051880348335114891325643509711085677534063877083650402719678328519239838095508259538097656801470801983321054532053691149527642530100573486466841999654538098605208448464224007119020851002481476832007115712833459037620100794817063163274038385176960406170043000083617333827593984918750577596528535434429668834022435160426033694356940970847500406304895645253276849863801225904588000360317685173155964061066336235944954341800613609531802984517216542826268080093567510002956633138338735232101227804974305504610030789539762019456363696429199970285731142530513502393632823387901761479472231775117626593806309363788858422628620795663646798768815275360826845371652172511244814174146943020519094313921969021212427676665419927922148493884527820004630974657296161117072504094848497093854042285791875379601653849518577624332647916911399626209217630831883577422350358443002624843944616209277105029080220955984239122694098076498558805250021033846153594078831753744850572259630605104688915316978074649687341141673597458300885559404888095870818793804688915923934654572400459140748815675497970600845491836881101939916768301948040768013336581411870098228473819999924563784933088525508811481489547323611299354750116508128935060036503165781457434479816926338981867617523711169031148986390824176840563860548642112251212233505183654695238213463764412641456122950508733194224144411884938578753120602023694452771736900018265174047270955434140374050562095618150175067778626937681705015862816891399730370891211169300528289204264636512779570404716900688485888181879859574752763258057862660219056436169792639766669472120825609459637860784252643947141457287038883031883397874450998631011212883860473625863260330670105800100472110700529458912855213
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 9 of the certificate chain of a 2,238-digit prime (177 intermediate primes).

Certified number2,238-digit prime
Certificatedownload
Certificate chainshow step 9 of 177

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009056498181 --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":1100000009056498181},"decimal":true,"detail":2}}'