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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 #1100000005814651824 4,215 digits created 2024-01-27

Value

670437894269858542349648843787193829494759567273175627592801637988850906841260016741574293588866689103527173658159050753971641489405787795451485629137201843492703181376093287334928421888880491046259931902445228439733865988397411982423872679668599913597846565798817337063976882637377079233932344163619968026147459845082074897537658978169740559790457672794096625371996807935790137515393987362243680639022995132474990312783101964541273193221429667348964554229448333345149479766281569083131780609653726583026900115715320627939152853946320026235495569807044651921058120963310810533134281989510991146486197957165817165466243184500917082861301385342734421472060856863011445571054783388472003736026621789660480430671711557346456475266707673430068466467373778150032374041789907404423949476765861176344946038487108195982393068021018828896597322285818865874859885539284678440597137450354835615702173615295108952947176231256756888679107570891236388342898915533076665399282195591507498650375839472908083720035195178448185110924430324919378926706735520578146922675285553676554316071088295502249146620790238323528701411806534079033475491007581044464477887288411043857512229638038125379869423243211669429837772169482720963707312739812646682839532027532944487182552187626341006639092188043173929872784803832754881623786064721354531081717682091138439648590674527243535028090146649088042093762385290678603308699888945793552086271832408076772825402964377890631855827490421956660820188965398023834686150538212029559302172584848554954072474101017843640510429670742470864995507762221505900790271641949231917697095485515522506715972543962406157990806499629862010347037042070407600607703051598123204585506428011335563653227616126968768825487190283332060303432909929543279133353476143442110721806874221048038004769448666938941848442149328988470307283426948892663384945403704930606105929714366794397919691504002902356095045480652063501305958765155865772238959826944238260423614788279158210693171779560287949746059457697977021287246587920216124083764513709128217728327059321087765851415341245677924092257965847031352658201542567585760923408312669284798697731456466008957785101958075298099047126885102461033828675911633421484312634531884011814185993281891101020696759848805039611726592194494286956589100695212983519492254736103301676032892911238699846661519471635043200585303091710203578035201109946918759832406624027399321884355372770685743336981781892698871697545850490360192788539377714139489755989971326719018189282859612706048283726448471099140107060203620922700614077938460260898223056205187632947935225419076628620496582572449303333882544120588365368896833065070991496614564789479374070731728913155701341173539398459677718501560812955074903512022831771280755289782824985050770419264052904008950123142737673793427353206115708121376297275087716003296200986789598309204840119930068378420009736911624122463589631694222529231783588125105019679829097714068374885110900265705220780084098528148098318210185806226812213240878843514858595587692731227097995987052816559759039623170420919799474017997988775641066545888745263234663404392303602128135428413880166790099803033935198297341119225907281373326304718225006537637961315306447220389986430274981176721952562007536419585355675478162372603938368022273979295054627154402683981953094129266526780097405305008325400408192626198953628414351294444641574289366954762814959487729266832622449885702921523696050592575316736713229481490653064359932736669760776351401949073471332219348775444370748404137116640592128303662555990597392522378276376043910830010514937596384157475987651287900072459504847725479780233233566849829555631375461406816992570652161883053416942265547829863254969884728855171668293978069208867290810868489465415572369774846288121804972228621465635307196147760817479593246620802156053885006524632772670067902206557324983839881927711469467406463420085207425657052567604782769931850174525415707865224137068161072085954422821827049582562732480530243201858897537914988628172100738951571846876393439996211058411881763741093895701255771761680306015844702168661454460592114956578622870280904631286127494640649385298246991818410179613359223996591293720677453187833242824359940353958289747812000741
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 4,403-digit prime (265 intermediate primes).

Certified number4,403-digit prime
Certificatedownload
Certificate chainshow step 15 of 265

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000005814651824 --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":1100000005814651824},"decimal":true,"detail":2}}'