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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 #1100000008680829097 1,702 digits created 2026-03-12

Value

9191012178375848349925878454397343164951383903064027795984648499547098488370977320644103862318258726932393169515901989951244512109559130514403359198929829166247213119410460997829280443483419217461245324862404477215779932802598039656898005120820094572512325201024951118011637583012693184542881211405888128282479035066012403280432920288656403747635684781089256683594171779897762320066977288454506725285486361407401088767722738954827706388326716560413174978771181616305792613909083475545165449038496158328416240863551634515955238122695596961829771734856081152257484774529563035002856576881662190085023872336043396366742638310933686840333059503026526483377304181924100962207135637073861342237970788244977096014748692329973155387014530540234286416645956276678582039083500681272117292260732495919581351403240270581696173255881258541934223663716381093261109602405057446713444116201115749980639604694683817654205646139682807735925363442330741231401884282026450868826270571290599984197972339487033626346009003371958860687722779927766381938823217450221393727213417357790804539487952357053498254095180857349314326972583714717838224333426439849561806126846448662136629446762782881834275918182508016478042460526326522635327944159325765175025546278901795512119787849227714833698754047798290349321748967539410270101248955750443756192369172883488551865712570858057636731795393770207617459849978396122497196744976864658370358787763548318741784939525937283614447289944574654807050661236792355141000889970853412740880498461901873779199414399441988899731001589410554115874427092124383487548445466164028258439924603821093035250599099515111395165723911903963332180054855051908755989759579533771456801844846685274259059970137
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 63 of the certificate chain of a 2,694-digit prime (164 intermediate primes).

Certified number2,694-digit prime
Certificatedownload
Certificate chainshow step 63 of 164

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008680829097 --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":1100000008680829097},"decimal":true,"detail":2}}'