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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 #1100000004901722196 1,943 digits created 2023-10-25

Value

21915472500099955342892993673296329596638483286536224865076201504929070503435476683239818594293872392465418201020928183395863530377670367057750596656771032637316424658406081403867463884040625160009296668086162855154704129824622752796078312971082120224885451528204174145987762103708077071448699746272674175291852055720823794209518440556544089153861521439746297257858258624318651912682231332796865482433803934712718368472398415312346845640221029722520888068873936055817521723115672510722092678813772488072918973761814305255990193832438907180734475374268865662589716607733075884189482002986379100636292610815874102704390155292157994180263193070490756882028555169887358370975592380638033283547867345049255309586602817697483340127229426442909298512256880466370562973687638841786580222284654268411595503624355251204434593493255919152727461911843259504544934787236034675313469639417573102822128497380102909085215486861193791939020247565770164390189375135042044570693729072831190229374143873839932882818928876910892014767868676918943151675946085312309971015752507527638341164038438229988663280126988679698710307134792005283837612649395659230909859341313195498051328216679026021652480100559917564447672016770850717265877522680684799835459412788349193746015977784512768263263961302259873393302506060250853827590906634739710441023315318671497678885866357534171843907367513966183113063046975264641530700194741402787131891322553961156864479383486983077786759942943876991389105914444433319013173627987925133045190633166150600240224641084180774577055168874870921717983458411251933310207324172423676568147506888903408924230878653693791050910767074880998881892341115063427231662360035101056702432217706062051395845763118301021458416705386289086923927158036067134422103714796153489526461177558094551696864467420923128000360013274647247864846621830153174703545867447801383888698030897616217352791837202086677473967110531404491691740826186083375200386578465454243
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 10 of the certificate chain of a 2,039-digit prime (228 intermediate primes).

Certified number2,039-digit prime
Certificatedownload
Certificate chainshow step 10 of 228

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004901722196 --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":1100000004901722196},"decimal":true,"detail":2}}'