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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 #1100000009115726560 2,234 digits created 2026-08-28

Value

18871832915223611972739508623744710766799231156882623297323581275266254925773452236304223768965388392631514989202394501992292432379864533533619287140578119950297598458572681067390095347425488325850442928858369188520990693896141953519658948581485388381588852818848826710168025314547200581635614414807696955309869259204044461304223101310000792681597172948007244484952027944956869954322980296882496675193722273271082338186029523642954435706997337770609225968657051175277899305260902725995449457658561946351181315004667871685449190747814617521392544727805949509604838891555625411864295935405163375132373382194448188523105160348833801769524284536384704355743162590772156330762279631990816341956632956994467453557644383292818894810048462292423959310711547938631474242032501599467597168661066156483916575981872742341775312730120253817859078378441780486149377444416560080775307452159838632567341008383464532060474506083571144575561932493604764984443407262453912364150296632305849460065947600044600533131911796113604145580940501110551449430872955154334122597274177221101582044087706280874964485355832877412081118363204093991960142654382788411418228467459201576406558712969664455913966070769618735318457628773673650051007143604861382569871048293045208680168891238110968531502671127612204059309554555219752298702551498911691039685864751199991239799950417283328689194050912026342898513525474472671622919967044956970707901157867394514860947962896255829247617411606912462062556637038214094340406857065472430848339524925403789481637367777966997067114446796722757907952481233073688073534300138691816497167128843461575312940881193517048059519188197301473939097610051748835944949924873682287008517791461803271496452417589329453285955308418361186550816383701253362637901674529712005130768339177279107782946753125759771867148662097327428680078350057778098788271475521976904086397942261319082228314563160365805257872677299164275406343131415174820944544469530575703353922636305337487394042284873612222358242780523081512592631650548595090852333366464029381698331197911883973005060884582585255987954978858769401033544855313751401973976460923582352971245962006311838800277823161762519103066893379155936747739268054991330803324993354358534297640255413944334241
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 77 of the certificate chain of a 3,052-digit prime (309 intermediate primes).

Certified number3,052-digit prime
Certificatedownload
Certificate chainshow step 77 of 309

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009115726560 --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":1100000009115726560},"decimal":true,"detail":2}}'