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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 #1100000009072282412 1,868 digits created 2026-08-11

Value

51749511032602146429657699084615540909484949785676591948831083221977940949998680373542607429357348914589965264191345070091582516131062128130898680902819282527475344545369476316984198165516539577932027645389158328821421228920559942141391889046181841064036453965438476014283535438146538554838917031612522760814813066968252247242710563070564895552106736770063435881480377557936831388432422505440191666088565192910044100856287664619979303368438992761218265810134083741206342371925571049317791636350284655072842090610944663439626969482616934434063591108689339273627055330878488787151998607802531539328921413477355717639898334328501439765060460923696838302777879248149315004653035683910115855868672306001114256209062450050560521812445305444488626826893332806395785619932850368045326957149782941292674141686242368472721911406003494955756716778032677427378258129971795419894875833991594593834255171812902991259268214032371684925140798807455742747259657909714425507396179253944769263789623060109749615244227411171035614859257997997134040896194112905417466027721794596673819173150694207226476191385385338684258111608500710549593871161564246448513986466825681228821350257393241044476589721724295390727788241364324332447771471182919509952486529611245179370264874409986266177931748417545844434386147419672381096387257238734786040422742972536637303804600598390126731492787759308481694996158269362489789452167980475757623292819932145985658963796658190035658916437215214879143136119522250990828897357619367340205784929502555412683470374508377175410969155069529409148497378216219239624492947272240834879753796381169930002680647589448209980916487294104483130128605027639128803942782582915358571184771968221456884008535565573514182626228753250380820665324443140483691632152398296597915243622995193510369530444077971358427786156862840462583434283768541946936431000411497801496812263912497
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 22 of the certificate chain of a 2,113-digit prime (172 intermediate primes).

Certified number2,113-digit prime
Certificatedownload
Certificate chainshow step 22 of 172

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009072282412 --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":1100000009072282412},"decimal":true,"detail":2}}'