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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 #1100000004877735774 2,199 digits created 2023-10-25

Value

724470544575264296446111608677335257549302839030606917946400756849038145362499573511997519600376696052939598751501563505163757802105145822589508621928470035476922342509488073062453912612027839138069524659022432880109753003774653119644278625156671563036326859438208288791230150626928726969331241870935715127173514143058049496221577843365017434226649458548860391148190528366693724009430739882361534185959603249284199310578192788163987056342328376701873163788848661253428480986272069357639935894345804454569710002759976294411980408664312431346402970639159924592984150357363701808201525262738722832091269202763521820248523797098271910161498025612739666550476896652286818463469651881876085877966973392902114204111829715415130618731803110784602077243825044801889272905679918360133605756293632986361206188350779588597658955347123438673822231191692700657773763612059381354189926422263764059002192418866162095488244102886374401065227673896985002512958409160081845399828214468235824895360785802937093380833325187868320377513694874568581882180623822504113954200668711491842581825336458950333048938161843566106480566752432401774015639029848142186201613099484741153264197055170826598675527341503971466892223235697700436596299732094509584820583949904616986111233086582145212222568674543586317002518029304390365753636824157029287882527761647383788478344457096175992943379266218190388983981252608036808617415093268042340806243403564328289553170805410000769651644121856053221374730661433307049822110118390038996052442309247831054812092792166667340091962431410882788991873466664165997420552758777227397172170289917494042570798131868968920737187559184804772364175714514744278793472807172082641517121751324444116482226086214765095729177798462616227337728993434130638813678431852055801872041055424023707335208482484314887064133136383679669410146316210949097217850328489601039346488461795837621078030834127244647559697481711206640829559781807735755209298564782856882382693850021374183715405480278921433376880513007171069059765230636214185542904155515867401013557794334338607331389789773023948376935325760859531843357613878614918016729048899946243709521711067215345745622414598033850622145007433076807585923985927378609309
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 34 of the certificate chain of a 2,441-digit prime (350 intermediate primes).

Certified number2,441-digit prime
Certificatedownload
Certificate chainshow step 34 of 350

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004877735774 --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":1100000004877735774},"decimal":true,"detail":2}}'