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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 #1100000004853462287 2,464 digits created 2023-10-24

Value

8541306467237503412447723548489886488064119918445149938418056915596114124015344562294266707799153792341260545825152056103087327752029140821535300083433828616653727630597122081268631213496722566264981570029988716907296221904723112049644980688129571635717419153064296471092905377601317154340054360863595627153778733785996482606683508247835388152269848717708714753166549989821361682075510139820616568309935334633666553777227923874995128235447350610112432341265089929186438670351867597616741065650176912274286093493316724311527380311750343331380929263700529825018107976996288531065759825303889621363678315485916495659736102379282637469293071163418936847550738589078040938398809647372297131706350894857008508827847198357839842683349149380249770169265292718778584671394448354589003413106046743827609785797612516896794007567650604177436935443427101618940623837967279116785216906190586646475736656538555948730269925528280167654137406514684007307168783786506730815471720452313888497268731332950285239160180962903576327858719046018336255686613968282935878161115761259042126967714317999124108839674540576189636031548901574536333492817989079692365971971025910281812113059797894582716726936119525354501368748453388400862715527486048820237713072208567236348710795655862934549857913250595294515066676523883913237301230194209045849861516850030464002812390811870642202135964328312600091033532479300228342405899500828006413513442482216059837551488583721827023948754081161486973484723982738820326647339392767003996784958603179422965169004113007362107309470841201507491261951880513121502775206046755577939509027307510149137166309551395102774306799858986444889893150665217269566291593021389868288222775214647906277927817122418543142967922342637959356173165825917998953618863329126719082086392515613848668345285179438742886714710101927098558853048337242455270966375099546126950604279553746494157108855641888567869538195952122655991572417103047570480451696027141393801294253329336537214196103323765987467823455779684496656337513875338053303267630828199779871014802406681496193562491579400297386097865692895878282434174891635962565528999343905086942660921805282235318576337751890767626264337691884632762705692436089270552951297882546958561287148102532428213969685793803147854547227320566323114939857136167582774756686604635737707395612526435887461660076535072950007830821979439475384648079000400611866353393351087235719329033913189550847220545756796321726933400918015059176579970422425907
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 50 of the certificate chain of a 3,128-digit prime (227 intermediate primes).

Certified number3,128-digit prime
Certificatedownload
Certificate chainshow step 50 of 227

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853462287 --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":1100000004853462287},"decimal":true,"detail":2}}'