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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 #1100000004819573828 4,045 digits created 2023-10-24

Value

6721878071692617685216699768403861002021805172392312461471011895315749081362993730240085121731749218601292639615446226146742262260570732086061817235298930285185241859096342738551928071563542646744702986941550980493476300112009477033086719837604906855560546027856789231470063115010605441753515186487255206072500608009988678666082243147867628273764979298382174295884260891685952175873381398990893665336387090369844658815721221365307192767884567669191090744728958480428745207120559205062540900992369437786518044553044166883278785828126550367932077040385874765926417695408824322675733820356508910358859801841987309392813607233042102061920835009656498895022179270781277124065516483319887244345962310288710849962855617796137376360138160065316400596408720022135676351077067026037318611795253121309828546654136712907401083545793745665960380986336709296155366308258447725122861865738984874686345686517363793684102211322007630266491336936159874272998466760794750680970356926134985879621225012536867622270193050236721155524830929242929971950018057226481220707925577527069012680997113299455408273038683858758946912862060848614576793131219380621425357141369882751568739835491930546296713150201176222436796312239452716640614382807231099189029721756582968931849478095538658415663738362692711155295350576597783965443553697657560654691094052881325316061131917586641021852997618122049495224067961375849867352344392224578175812767662922098108713224632940985460227016399174605004116439507443345726079345235425876481055903339802652724221838109259093604630176079582777710325630380657644260164825604302724737921657268883497673052844577152154401160477058638083882258698791528871677703185750868136294616762650664170267135165143024418430638628871508121751484750007990038214477127713970916558118620921665702498609609115741889543802636807740391242495000893669848086216335833559301463797255197349927972543155282590896713501618734524594911895251779777020733557902210547208971485930588175355640451192931588866944543210830025577801088110258340004796582748311042444206973373237772903777537298993697187931662853257339485180379740313610963484379930794365914724869399998881086708836554096240205547140572380407355634604694791721054836127273578721736677752179008233633571609055700711287304631144646590381872427481278688790305097173047898194435819050087041459020194497643273040054567956751805417331397681800647053238279811289950618711099079093406138295759509022510791233101981370164498195165596004781686092904233592615342046898633152877276618235967759420573399187587216953222364879875956244156931083723447509171812118905308141629443510023205633864078017956516545964131175065329217520650820402525779161340068522623801284025543456208831086612064697349780909036039478358074189644835129131003931714127748546821127563604517174653716165734055278978593252566444057988560445117909436351934374058007861735625588802007096274285135386816976874302657693673199286681474336596654748192953807023505053026619763048466139685486840962866306440580083465237942344438333557742647640040946434682102186298914326501769386586200587645886345119782881761295556772341817119183555042046756001875564027633308063247366947566432370764839019655944929194201754708010524244603591584119492215827262612598197632061074155524611685753400999611699391243220633148557193833742197496606433993821023923377815062490547453816416057627006230442876509062268852853118808755881315392029876081878675120948275376783269008066914987240467652056315894680110090233423520728828682681641468516046933813743366298055651601438628774435569308962824845950231274526459903923234875357733816292151812269955906438021390057202907856883607761369046489433120891532945132771476498870243551395999043721203004699319960500357777090593752980175456173205192526655531138732254815754451310792946018816538007710082841552394161337046910938076893989583892439705104903112640995058017213511055622985767666171084384353236529778864207053029528518178747923603248068356361845920645566016903266231071172984952565655459266962400883628921126351886970720370451601265339560399
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 92 of the certificate chain of a 4,974-digit prime (526 intermediate primes).

Certified number4,974-digit prime
Certificatedownload
Certificate chainshow step 92 of 526

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004819573828 --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":1100000004819573828},"decimal":true,"detail":2}}'