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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 #1100000004864582089 2,186 digits created 2023-10-24

Value

17956884842079523568474083170934868864196989085149641369202409273828074044306448011472714737453849201304270630246235169140150687441671556873995368222188981420724767476116823849161935557742342565140366041163263555270738856335641241747299799698012592404570258298573081932635094116798033174896757828528191848664125728915845259574609635877267957831229315054773384941700233896364338492016124466077189558340025996062720110609954822021780162060557957566287512070642512689912787075412956974565680806349806218278574637033954889011978544665305589090160892845652971014167928450062591927992112550547799650010216171897497301816608318126401627580868239780782325598394635548316281216706560324427274022329116378385839504316059922492001117622235713239478753835057470285361238115985637319602555644617057568175333011676479358014155185078489788294028968434167792038742223657898081232964726011843251817942824963033531708242222680094517995042714022413351455095260576051684048583642636900006061613314943231197876845495536965018277392899757624801003888617475345010303582870558039887714712635632648660802569819921077235991990160791329203322824245095739016870639716409101094772024879539658365342147280251631862069200880505689377495421673122189855851366196159453952318680273876431836676749665980832099679739030206781516133777180185545524881732495899203928360947692758283507431732281666150572159140381995310068469171674226181252174290710115388772455275744063432063431500385062807037532178663318457601089153368471582728678107684271632946032373074491114978472029342821679170044284738439836459660233972191073018627528979484860839282333408376040402531039360633329712014794452873518669966898521314126761786759484932703222158018247510154201615487654444409669444569315067054527288952697703110464700388910841446882756350435489852534513756364065470806110285884254869490667580403136499677074101952011864725492183946610842435325949198644726409898842862163096376664113844621656444557466291945452804640575879971817290527899121324156021666585725021430095510167482500547096170649007707541735159072688161431502950651482288828996602656559637773654984709978705831433904021931433803171909971293958611203432269376428460311986927246601
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 68 of the certificate chain of a 2,815-digit prime (319 intermediate primes).

Certified number2,815-digit prime
Certificatedownload
Certificate chainshow step 68 of 319

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004864582089 --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":1100000004864582089},"decimal":true,"detail":2}}'