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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 #1100000004862223880 2,880 digits created 2023-10-24

Value

198168635887080933314815055360877828061532036560279034695160597229635110872566491102663934984466855331156188732351732132885630551052607653507510551580631314374599985965599087968418358236587232526796776128104113910426771314344752440258051267025395102366662819295770674427950398549829053005284667468232732316225145586656917801558761672108972806145593830913617300557204401734394045647059082072852442835423582257619706739201340486297360835301852485576020366713402142282402883477343904153768828583915274758166176725514589958706300800577671287285591289964537039461313332946391952868047667549086793971163536436802710899475047524055634840194368489539419380126502235692875144922325846191397194843404597049068632621976996895089630708004708977434850739105766461354685296458460786301984221314982655769902487897574661462361214783409567960965774712265000804564771344779828216529641674020100627837954797389796574685722220512164626645546094161256545115275217413290425982976823444041570198702044905636139416693266033018733253695616710342592561480428229385648361692390012191585300615889285554717461830280312814184311059745121818213007203915145635355868395806291539878580506515465063915744664192582201230776244835510871845284828310959692331892879242390400347225889524714860346082946443470015279144542846329991292662298174864875747218589037739389839135924869865783727802563746064024830416787308762390941526837621989424949628317336135002024977798529810761196818224293864915317020401879030500044788288150409364773846372130021339224960465780832203277452251729090039412977155514318844133495848005507648238695974018572603469518988059190835453757021930661589721155426155676629369338648995833722881455296264885295721830815579284352912977385767450031252570045208082252562554213789907472859125866643585554578024079787840515467187604942608740537436123768926048605668811796701569568715240067109529509040177619971010735714525229475190947358750163210498669081634520819912151757354723507553604080273953817066170559231562491112881994789514089680747637774783842820815063249443526606059821482115990317874287428244510128493561170389832536581562153717707650743571574833257603114438800705151220225072924134244825777337788759318886603163363583467903095602338184276288929891046168389413110466070272013179668679582560216783228972863238594604372801113641605747315880910881162133075189588810829099894527195252943094848647793683808152079724865266957419869983176126199836903576565738486508130153955917696545770417457710668273927093058082901538202814488848125152072005736198030139817569174008535124262692932367269050508046668547382986552677921744449793053995767572560148018137743654311886832042998771972648060585998590850512956601583976024940823424434446306792807151515623267937706684555501072460962263148064130378330524557690569249457281402040123109593456403668979941829420014713005463173229529072030388191819338744882251820263
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 3 of the certificate chain of a 2,890-digit prime (390 intermediate primes).

Certified number2,890-digit prime
Certificatedownload
Certificate chainshow step 3 of 390

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004862223880 --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":1100000004862223880},"decimal":true,"detail":2}}'