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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 #1100000009131612028 2,371 digits created 2026-09-03

Value

4359136172103764163783757966952808942806349202049390095600993283204606969413666804073629834381899207118053227694906178467123734169167186377884266071953026952737482242315969929486326679671726360587795826351399012286414731842463491072543771879450800569990351321955113962354244959362455701338206156979060151118320876261890343168851663166643654053984023003262092139419419673239057897651276529204704338876563250331221817286970486189290066890815294078486258608490464985571648450375428975978960593625696153064263791101720725030275863839069148884465306160977262360647518280443001869429075508992148920764410200434555659607820742437749529058036358982188059178148750830963330729632460834435909672269132803197015574928012984370574371867031803968800735727840575097927175391779256405405728270388529024634594084696097654962095839090190520356404533299073126950495732445713881940217090318200962024146281078270202811780174472195717756537696133779610811761674062131839643626500667069269585093113526516161382904084516023417815880849826667702701397120302579514718158118045386689090276438699898507951370104111719102305022282819802638067702806243531499169978976606297146741776568165258565199188207911791405775248782179278042922189488471237236357542594730097257063796475130890514637662410479454660389087926848129100731222235931749097032629734291594968856982096052884547817640371445019787478325556357320908863035771712250801764156378355689600231642771234034626880119500265002616575548233003061492548136869415844563296528466429219677692462408012845359128558096366111900516130101739759784094576458826104742427560818076033603658671802823905884096233253816215349644396268406926079908610016103050198034484072552891335418331435558585195789396114148986355965897542596469695050986175305615779541245424808862596696645402399362349765460850544004917766431598043323780987798207256088044619061630132512965563611448118982944677446193852780396840700375761216329695648713547337064400745118760156299426867292461499412672521698344406931644385138236839772971218760207532858423724901870419947641128356492200983130366191848365382786078491969377076572619683889854312783031712818581996172216684516388956823099454753825929548782638400374824911222919445063876828578876480665561897162183348675615765058489366131547740068345962377349083341384087205931952016359695173675924920274845280455038411389041763285954477461133400359
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 75 of the certificate chain of a 3,162-digit prime (313 intermediate primes).

Certified number3,162-digit prime
Certificatedownload
Certificate chainshow step 75 of 313

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000009131612028 --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":1100000009131612028},"decimal":true,"detail":2}}'