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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 #1100000004912873045 1,524 digits created 2023-10-25

Value

548187656292886021280676259001744626885796900563455542200141311074683213017361350337129211260309469200044621980225352691260282063892824332430597695856506030454951044725343653888079896987701583320684294640293997989840958546580566652348324949960677166592282768623865939480575589242981695426741668289553302302601322548411914961604458000541719293502994820445216327548827294042339038540238191835726786726513063312855138890015884188745295958482038649928070162322381353274788509751729375964602765673354778431921520177459349870762221980051280908075515002980067109375186925517002444099083387876841294762835947857589251721758004281578481228563876269184748620396856284271062891971720861247391949607159206766991785480128803684562335639985269809790670920672617555481187034401429923758091208118712490313156557434736034463587706158450929431819163654901023511144303185248282165692079118175170093881155815205492055795160398895200212986866818565095921048415675668777624156348033300565406459078986841683691421170437500894928523267703172090466594698772547246968548959654873700272539154853589011784330032710164424162372594597587214194262958895764212915280752960540355255533791859910763954284317059721166753813964863811883321353348343422060096162724156448679452510040427237504729234525973709229785745503455809421930624174261291837318179821543725793057675283519562082146881953984707473433308615276815686713505900949973381575187256575249858810377242492858303365476451283572519516186503904706953383110886385891970008235994362652626765834188244230589
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 57 of the certificate chain of a 2,000-digit prime (266 intermediate primes).

Certified number2,000-digit prime
Certificatedownload
Certificate chainshow step 57 of 266

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004912873045 --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":1100000004912873045},"decimal":true,"detail":2}}'