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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 #1100000004826572218 4,050 digits created 2023-10-24

Value

849086841283334206907234994694830078223863165316920956369156034099643424814527467892663653813285927594806286761718561184638686572983263572786419510257454605296604394738602048004929070337540219294366269121763518949848824112241447197361579998299996001983175138457830322803880534844036738944134053792266688748459569686512127703482710851735053948854005693629498886246604296715968307814743084265066931079681932644623964746478342728215868729184463940075392680156700312758278121401199367977906712003834939722158970836400495315473742743180099468342255106529129090976481813647397426745459732929253809222133991880091635139681275606628394314750267754865456743695960625483694896146445559766776559567597839247276647099622480124666055400304895275065337606663799928980800792907683824688253276305781777509138745393719367614034456803066669826446320916220268097640550699567301033401310421797894265678079474403126957889033558883505269928867638739107754775351739766159520995468061310900132603626041387523708393144345289393538401477888436425069806995238611914543354035342691227988968232450922632059770835145245643900511881386679821486976292998079255983135412008310984188464166263396767906268744963864685140049200791928800324202337378700431013001165397212413483339191917340193824684965260290092630472950434802429910322425274721182111934339633950688444612718894907732921846551495359199804538775671233934064583133680641667083670210903178338803453072606432310544927865887484911292725839133429715150074767845077305911602424483655658199758643829879889253926680590035735422600457422315309034934550784788653068910663062132287490255001748961152220705500455913249912768590154395163792101618589970762833577535823125705056076353893581886832067913480236857423392959526462303028890353627901688301709593699282411645245158708446199890675764550601997413962202664544994013216512800601729186337634881545299012771563540252739102301398902771839549684465915540398852958039922415278987178221618859549373738417958461163957570012463992624450301205651582559156429086783915361062170188479731884246276695071712382215862177184897028885324543854603328794012199318112387891667087650892913291850289353479066672884784128814762882549057242711865903781914133058680258568523875047063180609503316090136347447189448711302056141082068319713505357337104790163370469434465791242066885331197492764562901241045877830084931839864732967697277797432477363669313628662753005880305968361791724722053347213301119921960855299653453854845211138337592885171017114759777867567823192781269766998249935108802673126006276654918972557619642290729092077928845774794981512589441532365264168010560128076914070851210947491117578654737437425671698278941063686898211549945653302387856496388130277383043298745117762758977694836170693700467670390682294980735802532352964563771536270957337442269275636930234517931334387030020831163084472262904141806097891477853719970654438604251644855083108216344252108667433639176796431758568179728028921300888217611748891969686310960456702698512096752637054742639865493363151765196414855908853342656475357537628693706436295783876525854357927037124130351280255956231609758446798148728561641343671078383606214030523953814894032456267661252798357698041701704069271679562796911707583239627355602296456857641289207966819968425702348413294570689599501545605570171923750172668785878985562987891495355204258287138619091759715555106072842300205918044099422560188798506491648973095865185150094601667466484876179464297506752764821964118185877640007939270403686115385187799299397341118478300878924924174167127159986476208480198317218576182452805841808881754155923690467796274268758419182849099503352652694159643233706633642134377849638044710425103686016197552458864396322673072526080989784718745249111448084350115054425186643873267643432663766799088447462438196770786292246963864368867352672661141144719163163058190727765674735585795036264291990626939605883567155135577131936177203713716750094828239440230326443126413657609547331966821976168857958499645674417528652682903661164927023878181957666403897436063992651
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 17 of the certificate chain of a 4,222-digit prime (448 intermediate primes).

Certified number4,222-digit prime
Certificatedownload
Certificate chainshow step 17 of 448

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004826572218 --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":1100000004826572218},"decimal":true,"detail":2}}'