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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 #1100000009071886399 2,067 digits created 2026-08-10

Value

668960936885779964574409243953071299872094517391371460926397671861378976890738261548675927133951832225836231806883516610266285506884141066878812040630910978914931962315667713840945825157535089472175187138962304785359200715894839150956821856776717876540997422958831135900506076238607770797891596951532986721780411071053106606007125733272316835042814872985666272503882184382036869142214110324687016994830636050966693424691892172297478685282229758320205899952845003730931886155557205657097152251677372907461966257991318746443103262762500507431678022089896754943164151615552908701851312507921542607762718884322213490108531447562768767572204747667275355409532282216017126422676229145413991495081598046230606177950814005339932895697844383232971596001718287680891165681613760135339541224858159378937796932487953008262329788894602202008034124237796550798343070755929795974271381299230330122962998016433055651775204657540018988057077210259078982433569554883434304146213497045132983433092054841191523839016603219873567778994877114270540989324693227130616325484659227257216571727111590966263887019724376816695254287164587470538727568475789856540880542338592358261657350729387893762443465821546181854819973382367997900290804249562521962262890170163666263752347697202693205334218272344241728526031391929697557025725541834498749498226331541678846287266619838183783055504390105590833915229956808757657263174737522425394392515958742201352968103088159184444089642137197380217066161634777423542690793166867053148358795642056468706571784228456001253635520449233891402417138622770652783111373696296410795665535108955254621773357272529005084590476931939227072263143405862587411768823403903151643316138974915361556223459108144149171357711665849491802032397635637057667033379337225533520940992657746333386008207026961102191731271454242936960141807120550343108078290521180118665145997195882399250438405661975706610788405224544559099132630455960003871953769097349224199017994368260372086870749696207507068633097644591561868427961988964244008493050294622839344266790882812229969991635652099923
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 49 of the certificate chain of a 2,645-digit prime (196 intermediate primes).

Certified number2,645-digit prime
Certificatedownload
Certificate chainshow step 49 of 196

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009071886399 --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":1100000009071886399},"decimal":true,"detail":2}}'