factordbrpc · fdb
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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 #1100000009077165689 1,682 digits created 2026-08-11

Value

12182119588582790837508129699874370772191124406986517429123634720979170474436531660610892767761131537340643545448543774074909808881576005941290701573815275314766042028585626874056905199834984388517376383926742120505952381315724537863670830332126878526589453806098279845408047854583001304948033688725449562552355313901042211281940580151137272213084025923880631709725013323750912865122993781827590534609884527572061754627844324142370889504441286257901110573714464427519513409023673758737653801262668015972634363563796383148935014677630538037673804089201198935732620609187752257926295084686785829788224482593804855306897400903552268017154917419370569594856047357794032128920176918639076929152073691252413909562839897392135133951833788469190245053124802606507176699006126210136379827647589709720047795986084650647326846625811016369648527023253373182772096574061657933448612862241743935416927228792138550523119023325273578555128808045604858761426779542235154683402270181785247193995748052420493765504263262879024029010706148929417131135867322768033488532657353530659478987500230852173570804635790695394109124147940860301192709605038634938280582798758554717247589107821895430883912508255567436780663620659745413003793775025605027898085249557317594275308920491344498758106291978485688818123872232579047667128507785020728085001502831858778874579732269365724601911269976807776986122351573433957098518447089833281094467057080396031812614746837400835400177308618548176839735369437760276276112503952861427610770017129432524285501662652984504786716824937615553330288422577966893549921324794898430359340617290935000526522525580124604583935209756060609817065187555470735717780948751049066108254787
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 13 of the certificate chain of a 1,828-digit prime (138 intermediate primes).

Certified number1,828-digit prime
Certificatedownload
Certificate chainshow step 13 of 138

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009077165689 --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":1100000009077165689},"decimal":true,"detail":2}}'