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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 #1100000004815282338 5,331 digits created 2023-10-24

Value

152071655116180452829548962082713031336595990368694487935307119549260015462209729944483940304295110728340338926362554249710546591534444803121072243354006938385091368465390789395541466215311485461630358125702186142552361401863379092333747748167084557245387417057599382058076133673382001650980889993560386807991322641592695804860350291459598842708159929186484240246586522591382098697891611969881932455392366471545158628562633705558633002795576287070221903177538099742950004598863545762679632135795054737254761353113456762329878329516388538626934338521181527117852188225401912554356910697795307626458313144620100599282895411003011921883600427309288531954181260615321318770544626367812832078181347745281586148510226280362362346568349014239837516184333522125619142361472783763383012686675707412003428616893764366558050997760218610206028184880970796886411603356580492941239311176784187852590050687535254551214221760192969986431036064305938228644850501744071331688236874851256868497128433361547820179240336074167310542753063703607902726220943704769919375850665207848342358674260102485573184029642699097210073275797836378255458310069288991223478502064063290263900788981750179696020567205840295811494922527686438622749061397441504641464453083241636540461716369261142891316723189146226309287286059767261756515282884625256592236149331697793102774385966429179210872872883911429379608374970162424034980267915243346417013217945201919380330486699964715582763260580754567367439259104090899919233527139578580942854351490833758703033557196828492574724197884030123412709721052339021548120506777843301391938151802604581812571849082564694967783158948125314258989395893334956753936461380349399748595322056356375242787811954070395707642535374800552810381776100277170813342555082435813768131601633564338561270080509286758608525918427224400734476673606730549080347030799349972822938824359435168105596618849645050859359152186241043162975410226370211799942982985522950239353427507006080227702072168304291955288313156725129317140625169425914753847807592809665502621966590013198029995680083446808891563577994132021263968023668265123401875929335332724623202173309672362998048243309548526978603802674072944109223331970701988087468559911186238784145863392244521566954734795595763326327424306035339175899600986186602788192901163438745163514851344879662800757439639405294137389662032052546745895028467860885764630239526236921763795017746371355933494447487152195782929055112798985254868018495414658958687856817800084627966042980828396401045314532915759674400518618372663382847742122996582370221306883903915860971637048375998266042623785541914044803275444332568424357127126712094157228039896378633034833813000675326301101626198269452293211316837649505997991404303610397521623390549963818727769997135911287767335379512107469562757085138496271529607508378313536726258530877971784324198367729117718673566965566909115657570586455683509878705573884323889652701818825728359355401608098406281250441166953419890585493108453479023162781036665875554334994341359361944484621077709157425512385721469804695979947172196099140288763427287519534665068664399347082083830910495049301136046261668693830193013047237702911241319408276509433264481547431333208319370486243933056795548380659425867770569641677586384514778850813018191184364963605761393454997614962880891171101755543423089415091185145063740306219582182667809968119724253320484467279142496091405358079971568023220616457746356075618660678848669456369694008795375103854268215065225082539055294945911815345099091708759076188803031948927264555567680938199620128590750326479050299973618756988133819392077282513535068068174543079139487324033373499853302761978574746107899065217958546053927469022009716538078039564191804418896067883213580745285774098541036941226234213309122032659655887501279431102035036716000397439776570110706597243044449822098841722196472264306700929144694065571897320350144868025619907118378326819986078848198881734534856769607660302065079080367537714238414340260114353183487149018384832473519748822243582316223643266375890623138891806040589889280792777529105530841409237178855782085544070538195549949190963102276603508635386449647261869869001869653479644693997323754117623531773163056243936944325305006676974273314265035658423282438572221474840098410463819834120178587569213425932534703607616117136721976984485745018490335681866490364448338720818281301051553468340108088002665142818146308033440373145104449434192849088333355134238492048233622532773979400161887761426293497020618814472569709344294931075063132827822901296779327836167536309959315993870446676725622884491612958229347909468554025263810581259673373864084957907694558580979385978315792689872836992093703812632639505289146758057188500473310282019797809503990717773007713011865289456244107176699843600650044168900397329743825614340661404406842808320576685019047419751546474796741091379014450685519860494124993427610373570680637554382809346148808116890354069037475543519668493131267375546114449071212694884490904297127898722728628795509812469854520554104726063313032800111648383259447242431464625157095298563229098626126154729280549498221299384819011175690600335135687395713781829285982156600803902813734484149242518799294498859092036656906095575675454677933872820873198311512836232931888094677607569834268309545459322505150728622035167261268574487032863
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 18 of the certificate chain of a 5,499-digit prime (558 intermediate primes).

Certified number5,499-digit prime
Certificatedownload
Certificate chainshow step 18 of 558

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815282338 --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":1100000004815282338},"decimal":true,"detail":2}}'