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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 #1100000004817433288 4,674 digits created 2023-10-24

Value

382346619068638277110254598287319032540978051431853653424923191047862732309393643235384234094979234529899075898511472667173546695302024582253966802434011677917346797797324372519561879162157962021038720236463750433114791081877010313955278995876722549728605884848880915541651045957864832854026962371018713636640983421631006375947167386241336947785702629740868715048934961950856539849021714017726846067911780854576924278280667084415817555195624992420612077530061461443274510682831736180617409510015917021110472111947774870132095467399649095679901315451672404614143267757734617805523866864628723598650582068871732065371147540959725959871087619812624106852775950853849260034176295377590611966370176014807934228438174576422438742987041767352579216397646785909108771968170255101220414628380912049840777682226454540704000927691236026734490951739309255497374505434199675499247783269126868266455122304550438844138556506408427093460351031029683699831006553752947039541749420764696340583341966431481116549643381786872189865138117940123224002277698862713286831598243964031797855151014339829894406067238520375488130701600968541224803659850522137589801444350320759111738596838753760349490042406070520337633108419467697564713366586517338062233689752397364276042279523853265379387737469668134449016304263620922668269485802480009284295443366958717078741531574392622229271573705347481033581749959089580111023427835730701853683687981619095187623764653359905310953148902235557080372812835478561362661819834791149538656309410673122838189921580143712691750188618792963075519653085607050548950848072433265469629169818608837943113662762484684980247317156293998979235856575043913991222539319297111292659954783097944712397149455259137560305651700418695330109447858855681012229272185102634339806855458040774364239638366909940607707361630203439937676875615313771469104458389150788809542845382313376804319073755795338033992805510067116593891978798913780905169434044634250558768511482042597511684504859969604766722731210051376077814577937427149673708689219763379199463552377286739170561238932678842832359588065624530205200880700273237453967620712589160930846783873906815398910441653144797145409795406389525917124316737586943467115788247794679050590528257451738900183719954773823791595774262625249136858609562865118913186824936283818314388761131638250042042772485333947817095356723038287917752376352523478761857358042886355597976446299416726088861083277924698137175769251866059080244610225466532693470272381051312665003266399542735824016559577922479809402247606328874912661512855376687023097752731886445862554224394561481629007750214706051086979135413206982506954675523086140786054950712269093479905407754982018474895404973577576124012628951850490969516214766014497356218567696392008081446601059363356961994157772122623406243518535770341948460437796670568039350292249719051350461392253121157087902364166486967768110902951074914611415032197377605322260675746896700561141068805851042973167369733182912249167529408383300929648587642495320054096105721376000472060143651984215067784608457046337439473146330705601617803297847941028359340265200966988772662056543796948996680870253719757660759663804039548388157857426098829275932941874289224596588421392713566832943930765416651857530383142975553519140904985517719240322489673462003974802318902937518576770701650698220998369243245684083653601063473511027146197097004401320572944218020156860682051218501633109803186653195332019339617365635688156038427686303184322277550269685634851886989630607927268761505876954069368377904446229014317789541449543421503318318501551759832726039490794290264956830402391025279122631560707879429825769677036063235996072116066960711920530926161697169917916895125824112748177117322186246651369716966712681776082796513510078890483430997947520794957510340089531165891802952303167783635580158111240246467513768980410344209226709000880493416457733431420273093306284164704422058965656248928031218556701018066455287475829478924190351210547447534619282632738756031391221665673184385767291402563946266283221600907077986832932955772841145420712247429166405681643972479084658414973658658271336753097660288980035963454615080844645255367553142029460102897120349318424490212594990515672476153359816549275805120435365493287657551864970195624176649088979779724780152568601144482066865106466777973829387419254745031272632738732725338661197961606951774490438980839848010031699829667193007475308058100236623829706493071503830919385941034595101602466440604206247010467442301185416058259422987697754260989705261551124025562480123651208408854100351626712756167291731910913708686665224958286792420799806002873695495681134758257890982760706715983344377819373333
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 49 of the certificate chain of a 5,211-digit prime (526 intermediate primes).

Certified number5,211-digit prime
Certificatedownload
Certificate chainshow step 49 of 526

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004817433288 --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":1100000004817433288},"decimal":true,"detail":2}}'