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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 #1100000008804977940 3,753 digits created 2026-05-13

Value

157565124561719830028456207042589639279327951024623066758908556570804534111695742215841795797665644387499434704648437786596728498998763682491031921405632668249357714997524535596573899421959048441188455009277412457048956629911250628288009153078997040912738801271258111475671141847932964137749215066734394485399814098420008855372605051777404790892834100859953651995435893276089472705630948516271947630439303656930149616726929241501379885561953793086572996313917706796791236746488067676675994248857138188443992626868039571414603823955608666703863380630420772350044452646461151581175784283126846846483255566451463411805955895648033412555930514072651422965098369867386402244380102960314142092419904087419147185619257556165277158255229273184074113949123401800369076875904326012655884050731525894760109966829700597028914277915589784370892461709257608877096910380082879282537712550382459261035411522895775638128818043151489793526439469898014938842172250163787674245559998707197380733239199666168841041840201176253780709220529303022249439985113653659805725874137487706167250277569277751237212068852120555571797899144623678012906579675292805738193053863615596028987766286710640820115229203370678129024443358847491440757726645269865117372292281927421840895698134838787310462324156444077517351336505043912183283845338934438521167206785597299866877040218387608723443654862002044461899579429620678044459880253716589177601046434159765771813216797050374339489627747566068608939840392006731508091594600136916160639698167479546525112705012892191819838313106461267268149490056161506401628085143739017436667831362853641010634802341364740684165148319295815278715467885915715352283539123863104565723146184480967054257440162191992096847363079134559117019438656947811203076887972526190347520441043259093534191903280730810377330323913375616805380248699629722114318179193343624141673603180582172080194278033881560505670050901513866212647390730673362973563645567336632570445960259945448194529969787687242275023645221687613245973827935555948597383308206654998117071038393897024040929211308881162624250200215617429820560578657228076809673941028927722335544013529034339916575422492482323885881296066786384978932898129932101402550546908000092137890149256760523039370813873138158556381343681961734484490624284436024535291150724268154427377801837189221240216055482004007610422725682605931007429849123271264819760999909662979558737957086449164638465637900413477878820122526329095048163194631410627709418584465552578377046223214132877031711462311721165143480811728841266226401767245531630936643169429106077683369840685697324554878447288338266538075855113514970051847216185674440993535058706735192292583044601825734804376500557727504044786170263320983735397931230471563642940973405653563157128031189694985754049582008619370228015583090122204180502237624352328831897486129330063182767511951605313137317518839861444368089652580698115268929414781710258176119416694670373955784064577887054075487767211465284755073852854117450039761961874168895624545383480458040904151362901563086252621973592053910526567686154534202343288907081914921237317140400544507962748166557371039406486408828723682182211791864535301962046432191273678824066227503328306452465190480122691564648384674245095974472997059677745129689915840657376951954327511670296278798940883472275103172264521698181138852897221302558273436203435799541435811874922746324861075121784732703164759197927406961656755583063716566227100289408285564852108996075745308300782165684521158474770954383908745747392463560847662340871744525494131059223707129942474977946831394125080383126320765926214368714567169466359534189301404986368238678445648977867511204073629877351937466340229306318734043305295809147427861249844132341177069076635044330662891018331
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 62 of the certificate chain of a 4,708-digit prime (287 intermediate primes).

Certified number4,708-digit prime
Certificatedownload
Certificate chainshow step 62 of 287

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008804977940 --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":1100000008804977940},"decimal":true,"detail":2}}'