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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 #1100000004891313548 1,828 digits created 2023-10-25

Value

4283693570642943379389986010442402449993435630989814224922974939924571618217567888819527212224389549005464400422222320715093068135953183077535562013234489001101820168594349430655752039155165434010884476173159769475730817457796358492625733502454498513973784578597591573684148220874850293651103172572046972997228292026954191844562128501907330264663165133701187492331487387056710347343480812136217631681908186209700228911370774635183055270294253074420023178170578511265010626250807720817661090460672972260907820032455534967594672711225571916957028175118311021249885619452209345313830702512278045843298159663531136903124103395498280185688785242714229764545339501886797853043511751514616449279435820142283039061202307872532420903318543211107251478643286151355155626979004472821544760487705148604654463004568420029170766427343025194873913239331585634338725769734562132485482526545842711185019364087601784803272944482523020137771600696566882784542586130374917270298982983090171950705963308548126696568907056822340962750587296615171843870343032704810582486491001739176729328137308208943559793148673954328589882516607170511790536129671334008007554822671337662134863422136462042775920002272857739664713179890513626665047010658685237283196258958530999453642865448535826703417329990236429563650389335527013223019125248090782649719025050826325775027209002672297074068243179998755696857695405570282438460969820888604831576583614530425498537541178721413762769536418102560993114707217287821483510514087989317292009110426841100759399957630750894499563806676755400319096105527332797235723370003678234412787126788911314044809743092391867445468735597351156185312131178490012622120007332852112758817966047923312605836339269351704300244739165267300247663593400166979194938909229678432169660065295896765775768582458106082015514999721039838463024511287
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 2,228-digit prime (242 intermediate primes).

Certified number2,228-digit prime
Certificatedownload
Certificate chainshow step 38 of 242

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004891313548 --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":1100000004891313548},"decimal":true,"detail":2}}'