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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 #1100000009055017182 2,004 digits created 2026-08-08

Value

798929921524713873147595721700110951124466543009896493978037371519018622692928017033846785871995423381412719761184533685984807028984694004006402441999574304660189878445535417094871917001524494843633684256995014623097589996941135778088204209535913159772324634465672020760058146068265917281233002211155864508949498078455111849431500817651942706292615716042993173755087623617940656325055753652609010976020494328403633160173769257442174547616401852796954342688459167293570663449200992470990598658563041912998258298820243743681062075390521742078441588496295748115916465995551554923348445295201221832512088686649928175076345334827927181278272206270258009638320078403299683847975938261254730691362562503479632082351728730226770778134537616577919007799324844185506661420892162112416706301639011415677638343738008324357211162806143346371635133662004638552299135391351931131723428228348784549623479440381763607705448546959011063071139808274568391383831887394107533040347106853777053122761719809848778507602614084112154128077229782052820843994655170478112323923038898267042685002103723603104698487647691823979821305187387058779783233089375085581947927615792276580546897664347990142336797886096612459907039062286040778324294906881645708861914181801202970430894779033580163464282243189841934133158091561057007632807304661344306637174317888651533452343308844207745000466289095600829410614988117866945650517866993247265682034561578911817831238375549739172421191797846712682969668216782855990397973753260558548512766515124625937594788243399946873792872069318032008874302558484150932226342154230009859182831913872615223541655786042989162970377161499664084991970817300755537664405162347830455182609940951336507107037084938986499785452439495241983393317692107828707392421871240048125425173038763118530529307856923414290969525773593632387877304004341402690742408490288870607423910455522196141959701554178157166021453670838477252939035700627316149726206760184175534173453888573449941014981016455587838966145083320707791384757
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 16 of the certificate chain of a 2,223-digit prime (167 intermediate primes).

Certified number2,223-digit prime
Certificatedownload
Certificate chainshow step 16 of 167

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009055017182 --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":1100000009055017182},"decimal":true,"detail":2}}'