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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 #1100000004868151723 2,315 digits created 2023-10-25

Value

42971919553593548664210069449434600461012329834115648805594916387119349134365046536140557006470577531330268059149218701337331511537505314747055150805129615021512734799068144804241537338470052886140681079714535369762120457823633960090518185484645217890596147227330057156191650119875819459158652576074856036937417470019772826039789398816376653474275262951329114126626019843377706662899464899291323471048805430549493032907401642118664374313140483505830753622247942562960686318738264459293474894005309441136235038697594516117835573133206370941606842027142418000357738863955309956903061797900979921736540924263738536701389362064315038068278003136212419554398605788907374700028660276747231561863255158427087663375193681389517434005721831869633000561320604388403898922010011051055455581161381990186080196614289311702985101464273709544588184619573270030785098035443080774078304327827941886621793257922464981464662885141553958025131256832204698561000451811266515818791183248559755140541807079898241310807986206719699247579125563310655529198757509583802055173722901955970762118400123128416224878794509023282569046327181400428047914073102889947948613978255705881038573412325309025736802765345901901915656885680448495653476024596645901708680156658664028225199368084058590919611853999194232769035522143954254241111196843149637803858206785183638991196493932126333134050026680099800899123774030553219948486112440392603834105615903618361670635770004334794055855383676118190223785622449897106005598508965939345063754430333618936080826536192412406160117655771072689007647450196206100756565920517462395940102559048954080007952639370981452088942766400160545164212503572133201392712336521314824218477238918754684793007441544657414116059845591251092301469243150298121426062314573974663719065231375354595804855714115345397714621113675666945140918782249678517214156381181174689782219798072474346855289999569620010955708647316060255480833147084190075565770032936200396000488504150108832733503493862199341347282759016853525618414362666127540076123050061046723794108878608822183490819952043102782261397701842381972002234179963244207127870646944655395028879189763790861139109299514879223389082337904017259672413783735466226320905584497204564261414854417058127114540732416301314701823933746926752738231901853183193115078741282610742285318937197
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 41 of the certificate chain of a 2,718-digit prime (297 intermediate primes).

Certified number2,718-digit prime
Certificatedownload
Certificate chainshow step 41 of 297

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004868151723 --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":1100000004868151723},"decimal":true,"detail":2}}'