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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 #1100000004854107891 2,374 digits created 2023-10-24

Value

9394344613879874588935604031681884523029691001466751913915689050006885709977725637095811544301436124066687887142229215831629950821256900629570358232089681489645378765149142561062710469761984253741215939753114441549186928487356779190693471769962605219304150408132966546410298811352906782899584594947986671656455436021996688283715459287139741427538057860342685002033844891679802469778555790997234068505214672854678486566662184481110509889835006278139391220061974911929616670502296725312459927671405603867792263272540323455481694904696928001008974816171296112598948884820630939954905020638871805396529865150074528952539783599234929104454448446508705513231963112406497558414636192503684043097980881402535617860526611909978249088983097204963198698787022531734128007401047103626293413208911681411846378404837594785088964239960915450153834997778968635334167899675338474068865205586613528324046911039723671855462036248498069091477582961829897526662870518750555635934787466489863140858378627639534404777374879745082147627138711482001600884612813841967849529693846256591363116521051318830781226664012295168443355908041223663426530296423495528039249805746901291773160157891283707754817233930691808038172653468434560155240853671152269315136733735988780842492931936889281692386209572550704401679622517007079126413825287756857019023563878471459402176335989332806831662902559868635526404399382808888717773280787155452938399088679218619437582614404095877651799559248451217296356043370857452278163037362131144433376023670079775571007045215102313499661760476075644139881078571082891065345501411223915353506124443403518359748308401695459123989210078627594045542498742829618313712771820611820405074396390681029327748538645788530998013076792097228554400434791602563356724632569196678764503821472732943641695508714737528350628301158290043446260140651700684494507054922827869006061420542773120731843328504011069905373868846794494384608005836741651920324615182848143453654483379891408704327253249650019000298489961619308566324940177475763911562100997917675052635257572072575660410205655801549651133078999046182365615828516884659121796014946988098113362855584111126070312366761426924157038252381792066915708703882970295860949416799480385142213735447013120628914766547346835257685084827763001917219069314962385862654087942106117968460336248873880618301822993946014970481912768750762167056130338614069
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 57 of the certificate chain of a 3,098-digit prime (215 intermediate primes).

Certified number3,098-digit prime
Certificatedownload
Certificate chainshow step 57 of 215

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004854107891 --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":1100000004854107891},"decimal":true,"detail":2}}'