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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 #1100000004815283194 4,935 digits created 2023-10-24

Value

204997784961319416319056802742341787970733141715712999299191878664814514432184452322877356326610739818456401064390901663895247003129339577556373418502106513699970770858089981670540074716836856320708355705226922244938743592842529969743262431054413566510937183713096653124213629191634448169499926166478013094180702753884418100838580887197985449361852091085167441662763077868164074910096342340116487892346786498417449034447815292249313164395958983842437660593202816714751205874994343050172546158077726351034738329892462241502751096262766408504934867426177098790262957427310323470147940262513330537113673083070535114374449943678085915443885350119304222691186337834218794823839507725042207628343692532980493994561786885554862580523965742597646824668515913301949156831918351851744546171251869403102105281685061330191649896025106725870177658096672999929871696232944963806404299051548164743135980954812058192348958494632880560436984483289287642825690141062837728636095957260919675866609515633663138221437029234400285086125944324731503786988786645468383891243173171686950992692360125368793797326891791279895695040699219653026854995015683440071366706559655724899369628554002283649553218112877500365704482227320027099795602585445158235742278855089056333402947045643001549839513304472622530372081078397077931834831924112366318392423675850264262557309923104934560440445129429383486799342740821756098717202352852013680900826715050525851110046930760332119765867298379426529716675039330677101048378606356035908072322662916022809219045364254915032396729208706106127022535256512764411313091471722615743700421517898691446974367483212904065349535425581605561897686432116544544702956692697884648793607322217412607005481991554131617023947089252305135749052890420543843133159784329468289161366651549390578403935198455706685322684640968437157789575867126051382010481074118341484458165126647282444958826287086541647437956647282333516444917382352968401116836401607209248559528059394110306034968116595819872384018949265469504210447573015668622724023296085679856046753994736066249072496194388793327763370356071487912341231488495548276509745301234888181572851909075344926601391318770202349549169084928116610817400715948942056201420587103485944835401316577812172069054022129251340444032295232548197898406354992111380711516957681273797699348226687864008982029255278353111195882166548423395410654169681424270636299076854605922999912448802151934917587284429620359650180104357632462616168530216749416223427809963533194121505998990825716685780194313882531266976172407442943171269102607864781001432936288353057020165709842354909430640489185371382991182470674866075768010939953914112630967285562057730377074983277656148329435123484976905128611435483180309516911920988118097769077192886097942100107253675972947600788028182161746990848946282566907532630093706151134266552470170157936727291793961052265516409825760837480897927512002725467176811368975560199119585029659106947144038852664110244578260358331474288546808898810329321501914386054980482442210818775505783657323584374258918268103320759679964065429361995937236811579142125148335732106795581542237771328328763490897721510646292334254131729317179751998479317857442337900299245106362203254245477363194015221644795036938368098134754978202699265462058682159035014861601633809406346844548769434306627976626198787851261629207302389882230330594065855816331132958473440695631382273419613626757650091392724280108894489681283455968253353304476271600443425038610596688711011982805893395717614639334101633795387000093700426319408217967109458791155127187756189071478143931768639044954971700913616911583486042850623175035509808695655651596476495636031188370855502174369903728533850402281820126265752564627851400510891665284505077867649720501342619804063060715144710285291823540129483610000293946880667716708321999967128138631346029609378181941282909719600785052811648276628521607604714114000687673812765014359312815115513284189942462528084011560127616616828454509609109398539170513032428391529584741700108991711186940729604289839179889156602894370436730888474662561227748149425274906864210587228473029862250488158046732565597689905159451114327275974113004044739004626123832326395391115221751821855954757010099892517407577622975252345635001388388910123726991164340424597672292569138479727450399738775611365371195906555427920738378942002000316729134249332420551478411874563062995614380561413400570304554909148163477280653829468911079595996822232115378216708323772454780555465873570829247565334427808402539471761748058536033848255351442782405442042640670982196804758712722433842395241107431359355047586920058383753831378632505033527208272991351324705062109014900075283030695825591350243414557338442380414531887670927389396640313886283872209454860096121924332739620298246952336103416549938140260597608631547733306405738208791675486385426743961868371892142726048650645997684212800633764820626596081674727141792883401419224888015848589427
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 52 of the certificate chain of a 5,499-digit prime (558 intermediate primes).

Certified number5,499-digit prime
Certificatedownload
Certificate chainshow step 52 of 558

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815283194 --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":1100000004815283194},"decimal":true,"detail":2}}'