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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 #1100000004864580946 2,676 digits created 2023-10-24

Value

109678261550280777315293590124217901481845186578923905278091643627818437110221095830927726373012725413839942549324775514457352475863843778452346586184931070928463552787952619665615721058894078185757142814102253504608175121554709511598604011180193968188535197200608268010052310463381938184370413458109221746952698584144157406655585955947753761593691976485849045685398784225823903399826193728003582211768456763095359933036433935935996581955212364451718238080884661111047109134824016054517567147758612890655207156746473329965711601527525220736970164880688346113952064662705196509481147028483622064320733474135396976033037797112299255471599127004587421036501848231780234787685218029402745711192268133418693966797697155059171841436354526929937157205275389289086307885175388053441732959899043746970405608305575650197423348902343411008025370267508377980310896747124843084448541462544782731576416731361417458332645902818769816160578669170386059015122342175312543501301540455666989817704464091945920283325048138684796512166205290198220988216698773494954046039039664901070670719669863460085867233769368620069251015258578661913707250302669098241040783107894239505139280930750267552907319825338123258706883836967544000827584881477156552481426803128005328073904967109191891775442622813010035015288716066523034878614800181580244610223994295604847369017685100532313462973604012792078936187763515146411875823781677091786654841062694205060140153667839173718189375767359732625373663155907476236936688042565810780755804356503753490075306007808816425791885783146514992128849051214279504558009533713263690482083735715499211481247430949700796253685723144061944160923681617563948465181343102336241879955467751341127779819557618945318032655884040713775078414420595709871189920654641885151827251188902022378449987431707576793038511579577903805079563979940680983657206854568272387244294141683499803708390228462374629212351742404056267527852906163214072652324947935628162871919132865740414601499235392938641301812504995550498714213918902310860828525577610288823179712989460444005045111548232108536212600622942408695312233566568113217931914425856370839310407223026105462632316945543185514260656636443526649557246896031845228497799429422641786601925471946097283135223327089229968599785241495993520385805845998713188511594502269413092763297613715151363618947921498244639766514620837811553478710188450166177636665523427454847427375143542212040660185576544662803909308736905649630610929825098516715151381049004791547164329728592967345715807521555786961163717458611259923751424083303857807551004520047220720107626134607594362661254799008821280076336751357799040498922078452653762647467877876985869519429367303
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 2,815-digit prime (319 intermediate primes).

Certified number2,815-digit prime
Certificatedownload
Certificate chainshow step 17 of 319

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004864580946 --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":1100000004864580946},"decimal":true,"detail":2}}'