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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 #1100000009127304118 2,766 digits created 2026-09-01

Value

193397107317653932881528931046964030852343177696384499353803040205506754831531559351048984734495036900454971826633675372347472632854061252382194675276283299319138541234564894313849308412665856313948959890549541709504222574321169416492477935146322030437133712658848354896560837333376495026841231110938115687789049792443176036526100213966156664711353991522760780786173215871308539732298677107695567960124403052725762066751477673003871979390115302816213803432524571053975931351238902041885942496223314495012681895584063878083254424045328963276076417401660243634755230277072408980058780740647249125659660939309808754404962581829183465604052631079739341815674817686078495416825962946300553246874784883756801356081324793828405139766697667625817582349548481416509370731744737540626088437388296789531701637508969633062063436483288061250383330713882034135574410814159387932084216128679146719766979644746770152833322859101753188413110366268937450524315778601778156541953726910668939414382544257793268866060661482572229576016724136034365045412538026844491549546099756646591653670555475335955998310624028977037752654258874961269859220055893102248766327398431596758577054811377925153358766313267292481916735189311755414756633481549309896367911647538258757463011152502881498140002413793347371442239326311654678377527224313416300961274895605175417249850352420431065857088385472038452039515583827112074046803708421920824579303366170697010138071081468510888715328846231794732543798487836123562864291006978193607603153742127508801765159515168556185701850241179350269987135004903704185089823527963497575905404328222880984199136569242703108122831877749875769754062842308046783822396019162460143966448929720884661382303037863406742733910701890964905401034450764776817524477326337539583477566210565995342321302639712532780763568295736674750159486334348069601497319416060614564718846265517996165782271700294943361188885850116582846338951800679638155572618946985253462136747263966999146066037744505140195825248240664395712588377272122445578269424170973141329227533499803554734165158543156806679050163639846942096469526507310164208992456009697146091078084495245370147275734895189168890591349362155944323548437944773914390668452974147103444012825707642767738542562446939783351263137141467037063403960019932182365524791021902980513263789692320467342924276322101335090974805042419722781497411973362481970616756290411302005512374281774715129611083188642039999156988470348686073155944428531264511700184382622138594069056531462034153065605843162675734972190848091832579607836473023474649032443317624708527454358384659810185862381205176456573432878794126142318576425980037893284136232567673077321025000471453999277997837188843721390437665839309666474691506969974973780035936706731101519994771365203
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 36 of the certificate chain of a 3,105-digit prime (328 intermediate primes).

Certified number3,105-digit prime
Certificatedownload
Certificate chainshow step 36 of 328

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009127304118 --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":1100000009127304118},"decimal":true,"detail":2}}'