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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 #1100000007040761722 2,477 digits created 2024-05-07

Value

10279338332398334082902923514474406115506057462697356957983343584155310548619920140813545204109959493613676566015116084820256179448714179713121857723996210600963817315197891489934831294349681629941408368224240810467281372215439273628219920220549164328201645175833964254698160046034542014983879921217938354334777540127085914130336620463673092264995068053024648244941225479913928984691146523937223652863082004886627015322955227694978641628735250217420936986290586368217727582184059899047934909578861799198104581684384900363381980939106071373729406765645679388003309537641463637879446934027287250556888660436043771974563689261299803090908864660257784126332649230175634499810214418756737876841405162427720308714402214529555499740283448303872766193409286996279215193492756423779867078521710959491264769306835253103120481666026426905732134021577036996126127138185301851545515949760651249491650947861921411172161011325495911460395984890836951814399190797417262376792613952225833697545456563518444609198497850223327498456141190030568151904492193137986351847338671687577716704422400261172239617692047237730488730233880793651145388981619093048128741041220173594151052352272119483946010714222400640481576251309004829276770297101612506840972420706990570563038853985211140668858135460248134682994444538535034348667766592146818884403945177696005868310900670122722177505082143038908340347311272336398015663603592258336210688049768493308264798364960452921289422035570304861122621052541281398006509891047202121678402023908896207656523640728672015655798230508273323765712583436437927475360081400339379050706187427623045633677966554998023830346921621796397965852649252602604040916640522404652494706678042875812350417804221458612257765682817243218128169812453298365237707761967298120259849787413548816130206149793587408338932309795067506813564823886758447593248566116083066381941272259332790577671070015972802220487674087308981541390353150416691539786477735815576378337468910438377635251317996933472523300664346147196755788594517579256482627500070651096912359165116215536859147670718852884088063640809615298451372996615337559771643545352342971349731599837457451377215338196806031067677398693300215622677644396615752436147317201982697339632439062572015135008274011281223556509941040909109122972844435284236384114087278825189499975724531388532788106159450991479793466424386004152814151151991204277901495815088192572610222817706482218621250023294266765395178418056522095740888590288079948820733715149
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 49 of the certificate chain of a 3,142-digit prime (231 intermediate primes).

Certified number3,142-digit prime
Certificatedownload
Certificate chainshow step 49 of 231

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007040761722 --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":1100000007040761722},"decimal":true,"detail":2}}'