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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 #1100000004838333551 2,844 digits created 2023-10-24

Value

493958809687484523664079229596934751462858654770505067098774043220288493703210518015928245557178103355012475775953798090993767044469134490949244771260709512070734963678996258754746356515100792336233559760909320125222481148688841064801725548046651781078967413327812368391858054083826730161008310774128688768481839432214813980833486169639638383765195179297537371862363282284382427574156902726331728953080582988802797088001289836033085704067354782398467313502567157030400500550795113610872752514585516651116986195676549334316039910058930115353495902352756398397005376954625160065412126294285732653935377887943492123146005587278596142457853519136674795519427305827921684756182678418410020234764240876562669957476677894707887621221413308990074101008652729741034495539516774322986757815162202821149148816902661617543247832958193025393417798647298688891367521291646236365039486102989701758282419913677364273408066055279435772870691753555668742048215353656890429712764799874332953737980986007588262033953775689800968979358475278283009007500980016259437846114699178426892898968977294846506141214260731577805536166400281641525576539330479186915821986837678881157707095047187518931267587441234979392170122382436106532752733027338651261953633511099246793622843740358674890154800720423227687293871215292492071008490708195677908404586450872495682246285562307223644215831843220888924253461500017684023476500934793131140229093928951693983082478984834726854761513004340414649000519744963771995293157054260990876994099253731440525694262764665290673465159132022341614895628052339348298076506166986727673556847314851302645772737275109399420888717146793161785868772370030821403192988038706496954497096443016419962405564610378070517782275642216143344419112570476930530760863085000744699997578162300441579984951530099127440470952451426361072744535621175606451720397802249334510232793896388554710108395086163747144567070469934669960250083099958176224018361420616269676846588697924633621034637657297197471003637124143922251956684261959910585443666681968003969676763525495650307645007495942717356418914182125277796482387460516263827571684735709222887932684459092714274264212906998749775391287972430075142696706754624003255726552534250295900270223087480840802362392572050515834710732569123801369741039069608259509261875868430913824154452492336681454976881887086450123643144418001417388948709251116327219448535903967365172751599764346452532249864891514612301784581120551151116107630626247242452330004912710257043078006735267685789529607825646891714253999006252314415985128193120408707488269058669218445185083920387646769580070798378671454423130079590956637698528699593505300243140301001011089804256066080896003149104862238131474439200903974568132038961678689883713227277561699870822137943823602041648240519731541704749117293663302539371422242674555744494645427855042145223
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 73 of the certificate chain of a 3,557-digit prime (436 intermediate primes).

Certified number3,557-digit prime
Certificatedownload
Certificate chainshow step 73 of 436

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004838333551 --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":1100000004838333551},"decimal":true,"detail":2}}'