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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 #1100000004813708535 5,636 digits created 2023-10-24

Value

10453999172018915011839482676759342153397025542163760214234923932328546316347068010207893812281300121206226436635176397352642326694983415900490558803802315450878842323075246938366124922637644990005168860729903748328984265684568750314026441074953825466748248593345928720456399229131504938807916785347619436209725777944718116416441724175948225583782118070380434997637780079633715636430479651596183161718212414177835687115431223252875167882767989101600851371926342974094778295803999784108329474344109077223696986177784944514629498392124178076612427392816148001487072062119414944023991563156567750356751402481358531482746265223660263442509961517966375459610000884092978842945856147822007254278506902042020165778492571176662875810688249767544754776899471980521210409200573882856866787500040517170062816893993332228637399035020762632165925219170812676321123088321569628748518517305400134160608296074198350305966328939191043785149740321037531697113884594569326596064428844523333249428702132634433165019679471254542494444313739936876489994850782774775604285333843769896543686831726914457195082360846187007840061810968780262289221678599742319064988061712459137662415332576017310783860230464930258471718066871313956985764421075354139468813266973209890116500276985784571712492045139508858237139753410314793089797263009384251016249038937287574593535963227155735955686956861003431852526923322184730897525336473381232152186402047691495761348526460833051105298773330320900063588875191676661412965132752722999026827345775038877427583547123892084179119241249962730932939571392268262494631507080131992976817666106837805626121573116075891989624890350769127187444637329729234614836044648882779197676567556562750257920990011386041962659628970850354579581366808357341087244452870738586178060055275187718110129318592362085324778899329860648693969471003817041965343929530599871081094280864544845527823818270262094160570457505961883271565552030657977854959052718510578939111011763139734446542029946281343842098797981791074444421235821911904691737241112874021178875427153950284391306823742586652494840286738356925011014460797527576767543970598722759380976680982136856550545196008752897892092074733346759490893375508262455276031454125045563567049134807921905951116630105483864285706159957718407119859048798623420934398736315947698488929978124040369862621775976555093087209840067359504121528241234613085873071609898623236457986251958379938816397767784060718885541318151042453043563813248390566267240320450861911626893426428392938577274499477565839422290057483904356393452876191395263297069861647148911771242849239994993482583188180368269492580118752577513190244056308740346017432560706448231735944038087983863530977465808655567491579488102699179581615596643020500274947389785786521664398013106178348564688335709156079833467401403433175469856909132719882960216997952452432921280285933143521671744474702379116506185278854593198037485440735231722259601492481803294736304437413423650426726892814318541688302703863151310646338767726304549820594185078090380393613647632940935867126008477247658718635593834150085679622537284690606914188780651468433788573493626893624272278920290997097652538897167728976778754602413604220627258006389831573284778932107024324780246099284472451001973929324247373803365916642117301278420887349906916854032724810243361537696175857872048091945132253713431688211789678782532024480420124978772404911659501783356735593404196437669692372597831131052292907710903028232153792768532467181386309338984298392836371044336007928504885102205107160876788020492563513113025344978548155215486207635962158641218424883483337593026679282077908437125547357598428780770602904806033424378583645045216536204732858036987962500078298621608313751685013500204851608436852756972465335450128630153564783041706713850782133765613642224019188175477669076942103377032127547042883048176381529086914746887101294535302597130179796728360511550747347728082822653642640464562337570200061255505991708880483581298845767091419956808282031195845177355402883469649209001030876340206737316608610559694405242284628514606609750157784194354213377413346217294428604262967401788343786075721588512762353341993718262694777082291802765085181923369071524065765510584905333901176159004136114826922593064201546537172032746199052951876221521284734830175120031142920807883287175541548085506300590978867285946496888120265606516436675544916259151197888633961047549365131896093123185361594124306415591920964143026536803528845481845221988437456168449969932051779017625526720490478770729908036178938500079994132444070312694860489470496619519243627803924893744743281036369170107804821103843257796577974813972811444481290498582205705767771135224650156446251638773046485803075419745050683130619345314607425376017290182192205003000279758852698237225358594984442594517740105609346659705729557974910087918301704572906776334952181635875411138452376250330418880288236587643403492968952038510161532857440150792442776753493882515850789233430549052958570387630591283130901650975852015512611127846112999628041374812861110871691356309063652084021342379005337402629796978262948134752143851509214535225370517759834194162833718867529419798865316818554207959879358936876489349065556276710495879814221370594055535963802745497758409678863120342141677673212096651842014652470331304448435336948701959810158955355732365554944765508098394637734010500316879168891125674748424644276873041310462710470268625349845564015008899358573093044842852953420455171179172718685655627485583706315485277760001034162017576653771721875369836077386222784736684303741404603193803598128581460677529099515398939089420845751101933560938213773331301131
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 46 of the certificate chain of a 6,162-digit prime (632 intermediate primes).

Certified number6,162-digit prime
Certificatedownload
Certificate chainshow step 46 of 632

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813708535 --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":1100000004813708535},"decimal":true,"detail":2}}'