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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 #1100000005738404711 1,906 digits created 2024-01-16

Value

7986778115759606195134344549158840028258669532202842041730831855995466273610827800531010877417977849291648734073374364297551408244341916125357367163760147434776556142054480588670874602903776537309780832036026301432121287680631422997954065721812929508253207329108294751735015869100796161206962951868737065853873923827986214322686443573011175413071619697251665697405900845005291746393023639426601569760681723147079873270345530016708128303285673279194412843741701871373967269129657893555885811387684259142297969808725611939871377886490112773865252955170859880059979106101121118759240195126325954827454549443863831425966105391434228670091604851931677961862990719295374078116215286694012504603867876522341050725168519963368002682516719680786940064609707752653524944138360543793640983443184305777446724539858249531630176113955872892375769800955559021187432262733680370064984841496072044196836037380605599630902009681007255213752570029142779999370311906377175543406435225403409214418936079051605352790090998708500796035656927989135150771319387553158218717218877356800114938412251205601930129136667348163418723742553970740035871264357753465424064811037236443832012253413186731017893332136314151611527512003111069664830345585649319700216600747534411462562794761177366139580075058504965798359947581332110874411647887151250514336841488837444303588414625268406457310091283776841270078474222996473246003592833931753144542884610834002584310494435316385238985305998450209137671464632412905355300545958304058491063181221916321373451354326235314137277804610131193176932486819279444299201673850141818400804387883225904977443259849015641375415667076882983431951487787271034947964750459803792021866413663667497272518674955014301306159066301900155336427067269483489208703504723368741968771696651963787553998905362043805039973902592831626825975809947292999454985010440777946959737377652318249339804317761012591616877327649869239
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 47 of the certificate chain of a 2,504-digit prime (187 intermediate primes).

Certified number2,504-digit prime
Certificatedownload
Certificate chainshow step 47 of 187

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005738404711 --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":1100000005738404711},"decimal":true,"detail":2}}'