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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 #1100000004921063253 1,704 digits created 2023-10-25

Value

998686717724821397824022261817187835966631791223415688095962257412264402893519397614808719724395487866638164087944694784805869735075864538798433302118360615134675885025596023986788223756129426295878128998040943685974317796966248354085445938244687866546792929235484647490003630053014616029849530434763409688074639234515264771576910524502130903586842746617187488538028265367988974217284397084898647067856625856524390586689249342408798935744362340282236373328633897847590644901202736778363406026672861038750245262607701850442113310540628049029891352818510689882899864774057675183848845620817483101078348783999341291468012098579754701854603085309615009075444837707639112466069597893436167430325284312379236557500798484168589615168970767772743431001999951424895610723131921988042830619298586231952332223271732881089774289879778061151829037339066609015714085097081549322098451270398884780264031893532559244903214796015244300809897545715716455200013610595361555276348219691918957493759517874938265189293102086509859742277857707632056402472747085516388764213063239556771095624689103929063095051732485609041646032183327108783338261285486627555760628550793196117948386925381274075583588928697645823051726562611766493375275672070753460179530251767577092191978049826696865823167958086507842191914113124363150303636880042056151234010252301880278758470797089816801223670544540947105416976615353773927108433135029332254029925380853398647966880966597520028792592919592885056199282193989568140982733353229686409246586404232527537729931247380289097693220727928352180779339004615431508806088288330105035136191420529571940176339116805318343728155902376417304721193572287208834400436604834903352858974508308887351736633431411
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 19 of the certificate chain of a 1,952-digit prime (147 intermediate primes).

Certified number1,952-digit prime
Certificatedownload
Certificate chainshow step 19 of 147

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004921063253 --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":1100000004921063253},"decimal":true,"detail":2}}'