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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 #1100000009009286361 1,731 digits created 2026-07-28

Value

165025016237566761377941687630631734071887356325906633593732047744599348174916409104125900703431539258542806516458383380954589162008294994959258612792767314493406097036244542294778656294589273828718376457950319385446737507189000636147013243554971260643246814333742464496929421516962151967012939441419526787441321672227591318354158466818773316150170121757479855822581353652128761980799043925839333009629849487087154291468097573001024682094980879722474596369827256698726718460937329690232859150106649070586969104636072602076188084802008410195767301149570044878405354081597195027955124796479225234287802090651187718568521717485033190187081179902479259063421721035287711966448256103669770539735272564868476826659783574200305560554698467691708206998373202968111313301596045949865233355049234038459006693985106447817492528832556226890848247090061208042691058307882050865419728213423114250173591475569927834968999714226676411434446878689637994946204493840266785911319698545144192837561538679888002016496400838448864412743591469392628103570119958177673534471784514809649411516027623241165164960317186180124264904972885298818732725216454435961948142508790426329337159616858123117445475559878344824665811536299095071124861862280603560947448564600650177582477447714809651783527625889894875379010664430120480132612039317285255064377789180672467381516197071415126847930328329315618941809622110015870560519951048550739442545411711288010964181567808206788867037739307869435740499789134512693808654248610595067101960576249580990064568336481516443402827728362257067934574651390027348173670301686961123965959112834910658488990891400351097066905604826595538734654011494164187276153942934261844984490590985008509710955036060594949698730738647822092173
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 78 of the certificate chain of a 2,685-digit prime (204 intermediate primes).

Certified number2,685-digit prime
Certificatedownload
Certificate chainshow step 78 of 204

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009009286361 --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":1100000009009286361},"decimal":true,"detail":2}}'