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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 #1100000004877788638 2,364 digits created 2023-10-25

Value

178300664685452605660354210528687819877408508648507092788601205928532966108279885669425356267580844321732540344979881351074856375577756918829239743726162091941472793247641738820033651699505293114672876201652258103092991466940145374531959148340306081729430869664893663934895231708395406963417155515340237293192696763966357467273176491239241828455120897163106972411131822710866900238779691511779224625570232228238950775414613406486173668172740015455934301643866033559447545743275508648744417503187605715214773791521760783562130653239301273516696817453209519523307494582065742411968193052954821810917093524709639237753887230225403853663804151245551296907409580572192712327545330414156747386831877721205972001919436600718429569019262271385570072665824236939253327366775032532631077657936827669148220704194960366943454942694301794517773009614168116482389284600093506550175724592410636669789207866109594748828172076192989765187963606620616571712946669766242678025996975701143721281392884626969047678081818251393112767244640977508852839336053761533946324139378362785631889730962311882773457997208194397327741086548631505256641582228520434340390196227662239014787988537735485255785678138541259814368544188029588232086864239561032406518877462471599620421318500155229076413017647393634824492716713576549453421235297631579727705853803120992226326302019208245342637138553111174212938934918781889307806631587323795340986777769262716997666322497995657194680590585233688354395306876686020349261824359617017225455110465556803232416476444203324276917188478279842183431655095859086684016502706734994091074456100806489997197966709332994914161034806460137336773079662073912121399939908155495723289108933484941455435700507740342038842994998883777315333998083515933343236301863410702019154351499064227848133262984691265146770069833638723370013832913878504676525235124567055045120361298065837891280323801739288516861542398999881774764728112417959171388991090179565275805605407673953390233344305736376919193235180219613792326789944190087697886987737320914454890454239047280351890644105852621129819893978306386479882652624666647247962985053978604951447343868751182808442374768370783300121385030309699786222804442895495958938562682033715566139636975082277884743446469161861525118638391945473044305798847169842441354339465145155811455554105960329092859663409763590027505804056293917105435401
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 14 of the certificate chain of a 2,439-digit prime (333 intermediate primes).

Certified number2,439-digit prime
Certificatedownload
Certificate chainshow step 14 of 333

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004877788638 --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":1100000004877788638},"decimal":true,"detail":2}}'