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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 #1100000007222400832 2,390 digits created 2024-07-08

Value

61714270291062397087320593714199550397743549495916573249230992518315450850423433345871567405434466835938605921074384768727237286530706726490004845723509916842586828554264355495982182961187387872333440947176813420811568521347311913703188983834248775707520155196937459191372335009072382232237205340288014764559344155035577608021552739489353100906374805842030767569995729672810466788869077780017906966471849851792509988113445667509219309428255435875959275271040516018708282752302439163419051852007464984110495898375559499613710385617019043847971909712229782494618468152088555493084605223756249411685154489230295298694697971768444722261542227423409178570606946278951636799006699389412794096664127565487488186452826992148960080240742008977980773566805470906701996752256473751977796138993667258426988886695099351652222344022605576346203823596442275056700123812785121221793520874839749163901360229064711639069960035861671938328721535815697683822083025169730882734000917934221822887687438255453719456430223448164368188815693798084062541042213080253244786296248722551575315403675786185551739729597433860273877299057835349486754244320285379688766423475467771955867541473429910219750505710409991281575688183938183453181175798426218588152802224606252960203303746953349663929640563464090285676507666974445867674448108458896815186606897278109831733375890320721492236953079774408273260443220872811293209701483409277145374312226266562009481239596257045737081231570314312879767929293612250848358353313297762255973223006250564135555417782537333404794806267286062322804249909227782034151536339233889811715106486642149519755622434887315807979223286920417829786103524184899273938941397530625927855953173204717865944414902369612779647594235752227736865885148350908930757874183109964982006310908892082316483982966197944215550946483878318056146261695504714540194417082585322973309187508644680513332270077527629747083522598349781544641374111090350156267881699070903921996220203414679340265291338447930127877630245395903266822026038901967423538732749757853922347945373165689556801484181658346671771418631772722074557457614381308699816399999525683891351241669407455094750054237939158078648583072258795633495314614362410696295380219104697468861425805962392534539251680523377003228086938622316442788761270863340526055173761408384863057880568166560687046113344409782882740560429230388969564040125036136052368984397547791
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 16 of the certificate chain of a 2,536-digit prime (263 intermediate primes).

Certified number2,536-digit prime
Certificatedownload
Certificate chainshow step 16 of 263

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007222400832 --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":1100000007222400832},"decimal":true,"detail":2}}'