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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 #1100000008753399186 2,457 digits created 2026-04-14

Value

971881778902107965547546277612678639162182008350248247799643018625651409014562209840537178986023898713684875000342143215783946016248980500208748037404840800444001592448416912159221185959085148411944597546383165761183606127724125236721890242186448305179585815148041899908719312812539340935827090562472820009913234848168530808726923446891327520654779132886133793397354622278076737039500009710812277180880398070918563409914288875105300155656199385404917990978425591212310357529150561467755578062284774231463717962117149468171135322188903572700760119130994029692255986907521873925511040678737483703420427565769815291961317172697657288025775642659417980219102527892408295406530854535213267390783052997307476645156944619925933881992839157206698647082809732176746999540068325398411699681297852616296676173396312122097825076799506228753491061344458899283035168461907817941505435027642118164933800140312032656387411131410141803496757627666500223041484145285434591448520501893001795092835653003726158258301716097661652086511315089597542039004729482295839438397677812579483129342923695702244156995916279800021761449103835498643458307824289830591989638795536591020574315601070809211945401422371696883622919100829918082354239943769044019945608717905619862794510208071730467137141331211845801556974398692866677253290933295230313921959965016998127390629156734528390048992882330864584864922617885113818198881106182531294759539452735796175507191444774112639698292165902663411287869007782791366721593136196142628428971794427118758534960615096453512265147957404412197003370502569571814869789759150418312869436588600496840597849807664616020956557567854337539734681904847447724362722984900338078233283476919191168945439860179644319635258415162433647817415620419472814472436373908131608284326983872266170140925191153384476712043838263638950879517063888053736721772676977847933944659716143045317243552846761542790948190061660520953642109197104412136303287968449609372069353802456258273908820121400873385354986806889103684701445427605837808526751583427421271814695901657278644769674979650222020663306337180985121827428439581671535147167420504493647063102781684150571639897492742777520135557605581728475346293796764641767227958344452074849051940999783265729058401907986812236486444284194730400292830449733923718266205741622645099879554980437310330156406532193407189496269238406460351579858543616520240135561258861270008922590548643503590537890065198367445621803964493350006674233257
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 23 of the certificate chain of a 2,746-digit prime (208 intermediate primes).

Certified number2,746-digit prime
Certificatedownload
Certificate chainshow step 23 of 208

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008753399186 --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":1100000008753399186},"decimal":true,"detail":2}}'