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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 #1100000009064917168 2,880 digits created 2026-08-09

Value

152386145683818279578637396212198641135550178522968171937760703805207782057420628503282477518529552547861905452709698299837795728983151521511310469338577320540380396411915185546395563035255334526677896342843303287601812452134711384551954828332455087125606862069676449477012305968892400426130114525911463012476520950038160979826223982388190674235319865880645193252565684670538470410158665107270728919699138570430280118737362872058109682972337991275840753987200172616033069398223027026642287217758117152560952641875871590985992759479262685506770103572847077110643183921862283720825210149139972106126742648018835832378766623203129347363111335272436063941406673610492382609467886569962812738657390660397933153795428302185055043594089615566224364052325099016790567829911718288982691952495125613419421527205981240642227927443740463926760857497752904808337082780191871348536736580751622910041433796111874683756801420639419519190986455304365702591743339211335021113435663661399101362999733634929829960411736419785408690761152939577096867230964158240477246847459356595760566618147826081742598255025141135158272870178503907013332520984290239061341936409568153725640301706843204560367233520589061725871000959013705101584733816704159031738926709994370094794769552331651720090842645486110731783048659630531203756165283385231693928476952322283955559112508380977970431150790248355741637826057144235934546324717373654636030253221428358566756368056652553475612844843541907700168954323958127693276120286124513248852290452060375442114344517061930970747485643330832442209725479831600315350510997925197153902854439845530226151114183353923992417526223127826080699922738193304411729605230781747214893747881351198567394692583047243203083962363990982992020882074924988084509646246414716115687355079451303486838523431505271605845982693720883402468042664989078938720113677635254314331893506583473242418340049720225713508220919167687404069668081891565346458413906984120061443860843861284825883704993094681300362548560171237295551434219976716360988793462511868564702699492740591297637940497572552084729140338765095216600906062055394920363585901043119701051953673033546611723812732351959930240352472002599700645109188224718807527388622218295073583394045493570265873100893058170654502048528595802169706798862050440995349355879333844196545890066040758995286165610434389158024199851667985519249799559635460394033727405629026335166677374563608223273819226295138158301495172112498339573769910932160119630400679318990045099608297320786321021175605612013101889257916736519973891730496462342394762881160993839461327565413463631331853983646076890995674947474039011103564976654134193169367518457758544919542358300814215977587060796389139935476861542842475128477212369253711915409210766412433472037632958659875036115218388984691966332400742901795552775489601609439931111262974950434338420942201525833809837525595424111529
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 4 of the certificate chain of a 2,912-digit prime (218 intermediate primes).

Certified number2,912-digit prime
Certificatedownload
Certificate chainshow step 4 of 218

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009064917168 --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":1100000009064917168},"decimal":true,"detail":2}}'