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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 #1100000006619835161 1,986 digits created 2024-03-31

Value

973028591300451915474852358356071682655243135745931746575667134586204326814191637490874580906573196456701027219466558222811841649768903092702961418706700197106918352581792386174892277771533256044466196395878247287205441216877407716740939460583343965173526106876550516973254540668754751562696855572361936190704916583966775630948135415290023778807013586195886236189217826650061855241574847338154530584565664601169193600112377504610695379396063021030799544701774353631363182360512784662340403255244178513677186513374294066184677419640725172833097473992480549972494047367377994995792923776758803443484501376900110237275716581398383499962084123372626445616753972214962182144951087522173448882027800995426238456608461546468410029816910386576383972944411683866522817150198713706866531253033750153212833105070652228848717055830191380488542154759521340355638010006749266119145106813587553927311034367749642280035472569899497930830774956067089240875452209483203823411307033283144138624284774345761311782894356394488667995929598494192961914769403816435667057442395836790362072442381142184757584558925443953030621809057778763267166680978375663101547034561333229921305806209517246603530188130129667107632889614178504753358072692974357415321916901932895214638632298263894295515534030929148361712795886315732997497366098370659951433667896888128729292834678712251198740566778705294493831392439639942716400866281007820586178516955327623623654806411432076249574025439398496792243233508901105576499320302652802621575904841462036795894133702210302245302753065118269539558962287692894636950327836412629841623156210707248099342899103135028025588972068599760322798377177033973930386766237240255683640981877225188317495031673275547758307878493916958070842275948526767457968243638789372000285131725453018243182017699601404308929041781676604885647813002898229614455945104893524062651491278256662524356467180253728508528727759251183716911996368051822798941269905563199251716297294555666691976222357910844985628531
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 72 of the certificate chain of a 2,804-digit prime (276 intermediate primes).

Certified number2,804-digit prime
Certificatedownload
Certificate chainshow step 72 of 276

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000006619835161 --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":1100000006619835161},"decimal":true,"detail":2}}'