factordbrpc · fdb
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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 #1100000004861551366 2,411 digits created 2023-10-24

Value

21097118328539038920003290143603973562562898937822693549438080461260071786960592942889332979873148363214613904790576174492182895143167737698870953393495048331091255997004318251563032913322707108434978296885468074635902459555963910890095723242774268756443469865891965126439101004556055780293983579747699090254409309284912392946006368745601901595994434863882165693184807875613433016316395539212138650360079364287388116354331406934727965002801442025499961742183143196331370753708088750529198043207728298739032046433579522994521167848138294478146023847038973439006925668464292971347747691849453000754721056927434983341961012222095015210033370227379012382584342766649143230239465012791371256381554085338512101608469693072839434157419763242783948674443145803163899401788574321159626510238867432164598506135396801574693487789583632704588873550143725231303644734905632645750379903257827019891678180868652453993633466396516458240771583705127735761765273729347123535078367738348848787459472157491231213426934808027959883400572847697300760565342355988277233188969128079364334866752189135523510824455367475823732650695755495493891763548899411593375219932034231418457912588957580227627971749618320639406778813264558977273083737235701125171777308512770611549296674793451673934029553488987103278837678641027326827573853372282086392264264262816471795106143061958217443144751667552816807684276442260585366742847880322969355785572403585685886675799050311869219299242644905467773172223450876430910886354213467443871230498082329739521470898893022453791241607038605634212145029762274705176177302425255020085692887549329291267478740560250641197740472096227229952383380535751998560079694329443067628973627910040668845506850162350780466279577640578998243321851669969346040627605263275135595459864989379482367310173713680805234545479857712759469524560452274708157400966032353674885102650984079583163314393119789717800528949522186516639314836023519703760368488171155301916807103339152111545572048840465016439569880187488874125514896582998313340838231270143978249081423386903072707928417742542360071106168366961404968434624123671349540699659207698460035173250733961366993535088747444542037642359029183483133288385190732387781933484174178224357987587884252394528504245903858863839315576088432345021345039783585821399545336191506328346020152154526861762191247808064270098920504520340173328741776370180683829524344803161144901176259533907191
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 53 of the certificate chain of a 2,911-digit prime (316 intermediate primes).

Certified number2,911-digit prime
Certificatedownload
Certificate chainshow step 53 of 316

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004861551366 --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":1100000004861551366},"decimal":true,"detail":2}}'