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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 #1100000010597996893 3,035 digits created 2026-10-06

Value

37191454228424149238915708902695822868907764762244675956368056142080600271639923494367452622748190005706665864589654805150467422818961680605910845685234938884793416388690781276397187693487684634933199755493593121637142698544385732104245674036104643746270950831396773499448624466123139681126307205508937555545404536284741570132723145166131090818691107335618928513173389254265715137915866423684068368096395760968784447665822284508420851325816781879247220385631210027196107128737501949509207236446097396867918297515085118523411827120888307151941807455077239470891340709615980514117968800395313482616541551681174550977946208014895986034752285648718530620175293419949568394554966825496727360786588121486011518657941900793955771319616871758109920487892830212127083302998194034557738901231840383285044347680511418399167707716778501492421857600805994682528691933868674549035153553093612288791603307243389980357084965319289700220325863101137487501408390777309833405055251970165701532893425956010810004516682202469201634509607364903588223483175190342695513556485589377978643866661041607400268942927980289728062880264632416258210558424793833416108138760075719378475652861559670773779021263720600181700449537972466781558275746042729726284024604890865504483292964881528659120075461679733157004266220768858330654226606275178970278976522727410394584490533092224185272124278858366864525311427002413217098395995065860420584108070329878108778098642748844749165885373659690397832800527624250343414856365618199190656632721875874514769444541290476165258506746928837148935223711499840992157670165018873161918681180046438394012547529676376004374130615060753726134084994753722561936371425631577195837516497956207248372295464778100352983864377661832114823461520454106655792276123995105275009748413333569393614457074295451701962635166795607422117749982646577262884584993622110292867244814597375113657064178089217762997815346037368696095282783276852588645070441080206334504044518281616991514110300865058776625321075467368491029919382338598766293246032493520978689588241376811396161988926785759976876680948477200242338394468843517336663657000105971784622999791783418425022364775623198462475261778778687815742598010472564351794671100962334852883338034119631979324788041176470041788995445933928443538183076818180575235460642236374644069488120663542829292137588876368649656024069245480353216241670436192893413018542116960956333231326878093608710070474484669127248345236381187877479595653882258485536849490944047820759544634599920339998780341008529219400835740333514403155768786332963010206758288970511107404612801322818853685329133672560058167677202525702056850187055103040540163528355265806837031837207194161441810670691359888072293098176815612983546687491007436692880696602631385275628836340863450011377235286263803938925826981544404447730874090418018534072252839669861966542123114334728733149251313537359799424464227664610375562696023570989245080296688825779027953829152706421649643634958526030913001398522747740405169637117853056657913443389822749184043104615207
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 14 of the certificate chain of a 3,200-digit prime (318 intermediate primes).

Certified number3,200-digit prime
Certificatedownload
Certificate chainshow step 14 of 318

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000010597996893 --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":1100000010597996893},"decimal":true,"detail":2}}'