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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 #1100000004815173968 4,516 digits created 2023-10-24

Value

3003630654173923940916819831311340511611596362727286212874270308361232906676315140541747135411788466997490615194664841385246609121132440405784726716305529104164937657239470987444487640467454722472723080446211116721284191995439221808188594686500183556671948966967334778083355177995720554668008025306424807546322827628863079852033703390838472903590470717584327651164350908362445223852090479350524329813799319026420615190610538721552913494004598325047673638322965908313901904576763184956021889863163016484491584368801686885910673759544449429035209407366261136103643711385969143219612486467588717336996448290173701296396652609954142152458691487977525874240677686873964298288939740335423902655834533223430583700343533755221109533752582008812766523734167058347264083424362896074673259519879724504687301236847617258504910756941639727204318334112181391461134192073323080464027804863328255112284437487918915558798806296239250699845377085634280211241317608083250263909526243843966916568069522920705574216568141625135975395735861400494718366218856789843350929778724514129439694736641697057161366229923420519938179396350562242326855461734277988850750547468259528237010497333188953768762794692246005513584709728243472444561653928657400799141142724113556051456311818815295304505840189531811953056359292506619562039157331601372265393348512778699488762566554565898233212722842232368345824344091769042217193340412539292469321847255048724149172566096865457629773801547656876576252695047236389082051268125512614415445507680581274284190780391854065010634437021597065536064622007496671862880612032921379600683135517847084489542512153358100170551980363767283902736548532528146448603721811730473410364752322754678046016279750119837117467473457720450729217491593590914949132802286238835933366396463448063107913894382796249229550479327224606301704740808631862283383845872050533793155642935230177025468780719051699401878508920066387886666856465605834792519458069827405034656946660510208020581467189845444022874953121598577012048946613510110916332264017705193455343866046092720637055094830824842607706440605681839267977070822303893965380306997017166917597515747731029606810058012152018204231682930199371105449609922138141851223593215371617280563493808908239226512525427714991807549425797170585650645103304092810562626396640337922117206124896775872720627451723681164720245187535881204198222195778783066077047834493479073536290183262651019644324457899342243119954759249560762298580947359533281725975079903981256597194938300755223716193285084108382172683613155353249629558608635433446203666406864868620770728722491162538922209176558520054527254350046081864206024495909054821924680336282651672837559702692545784152940253657051383854932122772510982737560740500141675464423648364015272162446776515034002140745415266465969679836099742476377970930595531753396244939868148567702072905853368459043069838423408446475138632436888955553397939247056382608763517639488467836891346850303226682365246218602258689340747672766987024465229370191387751610412226331392205566084668240256622901564010267753255661114130076127477744502906008187824079603679076155290008786613927368604395572205193494167906164465379740592244164356085267597470285530003710362288724133103481295831213201030439413832205252390307783530002089705402184592422443300770950413315863269769533958410160773040038869991626221018626610001974703506887893947886982273765753729271957800536812892004747807127913252826242413448420293846387874807838932409211259273929091052636943176199623058608638041833200117785397482966331193190745616423924421129655277308754200365198558120134665884973291402122076456062426712937742974307009674040064534016767864416805460598479652054263778273093876102879066631559713875677945262600151202209730380662160374409455956167863511460893835701332223582329012451771599583530323813781574288827791002845104052900729793004161137196057267587817065256055887574231168019507171995174799728721086533277872166374609181911262581809718934811012966098576679336459608356873156826325404378259785429878827042837029549858005496212600523201075007651698241073567234957234986748069226803220786207261449915578386373486864560456009618783398957996063249239052869578223927607861743329431103206325285986209770203850028326883701922562387269667590931278601586468957250701431897956133844329640437591521888708829427481006676135657551047250933523147428632093205454466831413607464479859685770000033972844918099929307158016384864623392387268736362271546631506034002676197357840853934102949881065238227575266620899
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 100 of the certificate chain of a 5,517-digit prime (577 intermediate primes).

Certified number5,517-digit prime
Certificatedownload
Certificate chainshow step 100 of 577

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815173968 --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":1100000004815173968},"decimal":true,"detail":2}}'