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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 #1100000009051642282 2,702 digits created 2026-08-07

Value

84337560028862774697829737207021804041373193458285537317383981197535274801648922332460705156793986025913370950573420334413173577317415854291652804138925485693840690345276938595150454621819729191545203898942958902993605690790187200533558902718588165397716779774221988159624769279374553130818942037995538553324508805720534119683684393089356621661029822600783997119606798527903462101535257451293709248915746626064293523998675475591670511400803542954980986225177588177215039403189464155395921356260741972085601326325838416085678798213042301486103902364364601753827367836436870862168750140274115547386306112460846556817749381355256795815016873640698362094091722797583370120592823881221407711649162921934056272351670816774000221508518085909822159599057137181193785619100435178224520021556392796155973065173620553316908311861726636997425242834943700672189798247097510928793717734455944626984062229587865408821942841862983580005703974950268693635784327880156929012312269278472765057761278563409626755603939898788496654601540861851337087971459643855274968434062169490955011862713725411320659105572117431552142785503960178542228168917543769087698203414208394155564640789171838227058001868822762267031193970615259869741028775772189573347775139399262653546853717398458552671574248290414933685409101407988774790482305436857650407034310201601782460442195719900653306782123053470233750313029599806434602065300165130840099180764151552656949417681503525443610150587243159683884064644276292724656510078972221659803891930817004639099245277471312085940408885362257268848625733371429532493700068344019978106963334289913530638856298133201808968480668961792649891141436407368553552244793366396800080996359191122762623581448911383587894980708704326615439486379574625975933481398453998089706544410042237608246472822876949342924828057926888678900743782078584615721516656470625929744761898721961819452008991314815913986666089405991099322863618433529320370201161249494853178412988529722222160428636493359974784242939902060544045221203361872530044441046670565225927255208995874889396471615043286884374532663969528856612205163662690563717302142543520993184103166650690205320067879776497545801619029914779041142499766835514948054716603094389651898765612927804787821478222157047299513503112966210352449288999900055611519854511112180390140644630558375015909753611374399883213023384925141070771603430197291682301955446396531758182967356153914974931264869805543895340322377385920533009830794155649328231787459271715780351080905565426366240993590017048766007541662755288556733973368855497042763775936117777621041643131522776359911208380147646434417219335694218221407149991520177779647686903557741704254034386332367859332901011862346591743
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 8 of the certificate chain of a 2,823-digit prime (204 intermediate primes).

Certified number2,823-digit prime
Certificatedownload
Certificate chainshow step 8 of 204

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009051642282 --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":1100000009051642282},"decimal":true,"detail":2}}'