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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 #1100000004861552081 2,109 digits created 2023-10-24

Value

218869147555421393973168162320063666506529591573586690402252516579353710359983313783068066713598630721641511281916773761745097249001555876682421604436275531132080788499501726967248205131585061662178092806261087133523647023808964751953927411130572277458882266819941648610877234639839461697903868928240778963612321546008670700504722946624444234042913279312913175795729280701592320564083236794791313595485622526479124598987464903626037790860438429873373558366909623120873484269706943311056927823606674682554977163606845787639805343773856384180095364676167780363563574026367150375880332253852805240908024652382483776702740610771850726461672107913619060248704125136503523614216937365347312080150592380236002812380418653211735194878573769917242674917438726153831095296362641202582823166510272834993032400880602504001597257591353279178434009956378868512311806242215976190846411320470445863794103013776518910507646878248635748482723372663289189116309303766159724799569217562379436464359551028177864555244433551363163043570435567876438661865941471673281209992736339735068551883543159858850063639712266374495616342340445114811230514226664568729993881343998029130247462478993307399520386321659528708939586766371610967428885497154518850536400780432697538174641234748138329933043503161400596979182103553036442872907765574376459401271936441537402813277163734212176189072709299684723381237081241146539017612429450744851208765712919589949277558278805237230431306855615427280751181670510275509012331427185034400981115008172981990627217328262175508911981795961195142074359816744355728054549896120589006749585905798161216710051958478673158715132884563850967712524959058319645804275121242559152842224465477333128276932991940884854340358037171816126312220231230103426328030301353231655509325198819543767180328680193825835363387044621242707341502951202098726659729513150793944653505154797048239449388363570318981731621943763035809423301081548820158486452514226153106544896126802391238386693033825814456259289367063190542813192964251031410209595841460162770334477496330517096692784108872840649516875267515033821327456497707359938211
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 84 of the certificate chain of a 2,911-digit prime (316 intermediate primes).

Certified number2,911-digit prime
Certificatedownload
Certificate chainshow step 84 of 316

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004861552081 --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":1100000004861552081},"decimal":true,"detail":2}}'