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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 #1100000004871498359 2,148 digits created 2023-10-25

Value

224526487157395943061800333892474957921680852775974154187326942781540869339781873617183072948676559391552416266133569859538024185168879851108796277512947891043933045326348922029571459419348319016110731528351448103580119767415123958207959584207912565259680829270618323695449016865278841393627155910617820688957942193061505360327496956544420444166609528737830638828769360754784929609105339216059320647434221580020139811700339997750775653592860237088415563496633708660101418152283362925243114900108214523874793423737737973193738244208090039376523361452695784822135936251905090408265976665456539852640189062000398562931257497016321476277480384435286572403212057229495496224639080932647607332223864672749736515857553491293180610717558966169122231364558927914545195932410060877971141865962947643401621235604372698941369931343599340843461832800307137801985212369550796291828292987516240456405416689349234613329830604903159330084634154583963394403371494368216648002520695785064977565057593855144831612128920627997314234077157552772995747160984549150698885744770424818899479202676484088033431109731229388102257158755778973704645688030740932294821812846717835256923935243654922265788459751845062426911936240123882907129951332731560064863776672000251762565322367374327583991859674341096933169157687203359335006037823937420250085782072412575646266808485133438032559009233668006550771366440021118841895836144965289905134222299646458881077926386740198260700583779017927930633398216666238756190066759059323948044444064247587365805167983321869961737554577909675356212801449223706782099375590174232438542318075008619864645417609939927478224603537395714453258535694064582231842290548770805533873789127863252807711709807703782382992745740965334655264908647036210771317386006030130451857234848692916237134075406835723511962316718697436330872873751699774360491270632168475612388427115418879532661352637897586257223704739523651674144779823240776469592731495768765552343200515953568427787857963135783024965576224310615147813665957660143721546340453695593171632695844849705847541897360112099837821456835224545400917026830742781140237574784496734909095291605105807245306677
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 41 of the certificate chain of a 2,603-digit prime (273 intermediate primes).

Certified number2,603-digit prime
Certificatedownload
Certificate chainshow step 41 of 273

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004871498359 --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":1100000004871498359},"decimal":true,"detail":2}}'