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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 #1100000004824773972 3,972 digits created 2023-10-24

Value

207006230525320974288776992224362311789577597059705224757122951056266107403503343553794370433983031130273713274983421593510511549664580317140224154178092969259267383337476154217938738954754962996398675523846779851471555183555366510157266824197988990284678255235888624461767008541635584448610445233925202613393898118514397478800722150336333429900144000113732805993673729964332997609176368359439119005554304693258093570514985352635964237093751457739323014329157793487786498437621306709384790040344809679011245349389497437920229070100789427219227075947762715201494644051783263475884292326177727698047939163566954346635409063502618362560945275447610416766465801651093324409152873958712483573239575912417510591482738709905946974498548401619900154350996749960983852459937669476495658111288926807028911086067117877323025041301665377559240055448650947384625827574330095123561944170755356386115622017152796853939542834153062798334403541188673805708005209144877743380134107485170724342580789120510988684196753561169808306417774618595241224544497562922176698753243470918642703016910907451085323520433147419766043223010437586780318819113941849221170385650573251408924038288609635570771402625913641211597621946323349756939069286318160070031378206076238655742733662689236558534661420727526985508651149630850296266647082763612023511188012319764261738190732701137594372795588328994753345240551157539002372209725948782667051326931760757112355674800827308765866534128943209922659545066383369965605572764774347680614552474705393197484729172252430931409297557769694972677638462675959460264485331445191180093225545371787177386418148852886856844622933785410121222754694580037912237239472756300790339939188937875765272522382366196097794380927043515002359141898025286254508128172490854753848434122984251169332161553826081608036425780290753110769950295455537724462341963641949389156708733496524400421800572322563293064745215002108390206608719899685726867717526380198900353755744346789568142536881784650195449926499453739542820644763781887141043469299938053115030737668990571620082942867594241684631058033213092715139987152872214892986148233756827383289395976946121271888327134321969348921528591737959125113721422232650199321652103943342121801041635656805370072357905253520435748609298302839717737548655932312541155659755439820735711914207470689080852597583928295605392738661062711530678010316352645891810857820709062988119409249806328035657051748973017882242072608070648119582398472486103783285448697256782394856525431645542940018895555129643754052735401611822998304517838229283213782471795738169705814376224165780101152242266646171684159666333411187787188122420231811729918583262906265012059376044322745337941698886305679048116684608826057430279764502833325789650187956671740400661771180623415947488076129051690943659328306477624473898033674349761956837520622014527339540017585657559742303323803341182611104219589508499757447571546411138747766617962810171244837279843196135790675341912969609268964479607182340637369195605148863554368032139719138024359151325185949043387003202559096222375078930451582363729441081238287671590670900960803156006522552071908426842568579610764415018822224538039173194496451655006399755817010086966022878232442468740011363621970284933164533722180554305204922722456408358668113622748796088028191273370713170872291328456157919925304822527030131828832417672198805664850597194722709609561075432321645611144188703286450529434165440242954707904600663981820476472120155864038679264082807036843697491173485891355588686660202547288362768651708938298218638462236734496284702269292128078634533916778063453124436607345938012938026692122418460950989379723104055269180943322365785241722229577578457613390479351400905917949835960011176263287382217697600530569165377844059844374347894083497339377256953591353380705128038478181732898592344631387124022233714622557497696501977470457515137566916949559497165211329013101601542555717201870599795296980052181953109267226335446660618541178939
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 36 of the certificate chain of a 4,391-digit prime (458 intermediate primes).

Certified number4,391-digit prime
Certificatedownload
Certificate chainshow step 36 of 458

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004824773972 --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":1100000004824773972},"decimal":true,"detail":2}}'