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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 #1100000004866936155 1,855 digits created 2023-10-24

Value

1636272191891782983007404484816049260074756616666858084529092745324014072336567046784788166992606679050504324441417807747519017127896098758110540023143264356490244422920484982653662050644630790275063058523081839964672179532465579618577354589369722424612077104458060945281376140808907322194495749898755806532165018166547248400902270587455658134201522148408868182476710460748301356011351642609471461437983072465780964612588279962661349377340861179495714935349235241319408288797037907646560695582155334627865830349773228683115385212896171273098026635024109884792184860278544059121852917207787877517470004918730295625674561591235484174881784753124480154448592487730962014371883635839825084143903193802139435817453523219197515169911379127868644132369583448300300491345428248321994336488920600310426364261769361550978180569454007911970370230829786887134408396576951312822667979653157703729896181151074720027080306453962243772604558650118248515883834685045522566514841752196605049458853735503404590416866985624754640267979151123850520221111104524984143914902436617919892077599310917980992982104083977601077025375919660850502762597531177096794955220942475684556461108528987872067358042001012505829522112550830646396059221269468511060288834121502967355770568534873221814407488238447605438204925997725122494900835668984036811009867943613985969537799710824766472578406909040394126905804632172291920458758743067663023306571774187074632616107271856506301815340643469637553871203509788105687635665623287520844280443612771483714411134763165342393065876979139257865888058157938411021175033257481849611385372304528738565399003535325011718996263090793350335277754888248825674398929569814154641906026648741747039007697083318878597133738729084739807451123147121559098350798305402577682798111507194311644029664280926126565136802145962760282424718942240689679218928360571513021
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 100 of the certificate chain of a 2,748-digit prime (315 intermediate primes).

Certified number2,748-digit prime
Certificatedownload
Certificate chainshow step 100 of 315

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004866936155 --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":1100000004866936155},"decimal":true,"detail":2}}'