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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 #1100000004854282092 2,307 digits created 2023-10-24

Value

190382721735270393147022537563971629836545467696708982879863895915952654393885959989766624656467672370680860291291479107048008708184014631316103996767292499378740235247893775042897665910427751070069342013814598974729509075932880302585147491231514481190139636047281908754085744986849356440639289939606327308615489100149785398610725745453849450527941342054269801146017522799968693541740314598019187975105713492174376159408628199542565863971637000838456082296656459976784549230863993422157002890347655640868395018474111520208389918505006074371943739731622445551833234151293334358039659336580165280336076030431264111378669545730714979235070504007581785300657564863391157305088551645763055888059470132279047613198568394873056698207301499473842054580835694036639220211948623778054000292379187188745012693363322386068836559160933567005416098208558286024785477940964088910884861937501623588289869649660865014501350773833678194193590543795560836356078784986449390998956588535836578109007386487780260748788938224084144011365697736017982707274490437213279601646868126344008056579224727908885375530544290464150547404822669782156692471078808794305043811455932807523861950683243195344505927952381538318935423312895630353297568470879221131720907559312500078690530318955232210533711429763583119546315525184381674788948293366927868576430879668793544701058764679811818878034800921612540779692394102305282253225299206073382851158266721043249970084783081714219017157044457091467809597340860286272616385398208658729779541335900361447950417049742734781896633346989550992335864988147007565510158605538551404677260880708958050157841647159266302306985398313863063048156442208155462935554926716340855896783794680364276257639711221714046586887083946063967806568438496801606181210830323713540008742877044004401106805726823878483653615753118618756712566285695585159988672496911029385497249496322850257102279784712397676287932229675032793417306926028698962296779076971600927477233133642527413823215542755906602419711495538030066530325543182012039269404220441436147800913810755509447114227872296990911159906214496288421519923151945130174451588084984288460865936529851222724550111474463870177470573551915527049886801937803692934122375652721292358187602428443144436162139813194310116026306120962189141319210981985881219773794823865971889897
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 65 of the certificate chain of a 3,094-digit prime (232 intermediate primes).

Certified number3,094-digit prime
Certificatedownload
Certificate chainshow step 65 of 232

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004854282092 --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":1100000004854282092},"decimal":true,"detail":2}}'