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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 #1100000004817434221 4,246 digits created 2023-10-24

Value

2180099102216930288243705320431569477056172552068529281983111576393223696330171517535546606878004635465117999907438425877964407204034233647573574903083228155524215418949770811711749124170946236970683675675814664573294162225071888327863687466111663207562872021949922165084479688465492333300626326953727390043721541999230176954027836649913700029009873175426152402240744344902304608021222491897443664094857273856499135253362000000934161242461786430990539744909979787243655093826545742830286102013734164525717449259846575727736996296973585424129111032267539852131584221717919151876191605029597983706212834280699022375875732867455259774107829082258309262378152462548671781113033589464636813171151443369955590498423456365461905197028092484692676918775012160224350364234427033533844456753298911991736323544950516249932629264304827238783198080442801102787082757799959135649417997786139161072988128178219012673938142573047302954264496548181129273631054623495500653381843718957542266691552602960352013266128202207252135264953328778662860886105502819246437437292243784981929546920059708867744516793567104132874393405026385389911106641348037215311791169386331831774911026263083301766328350782283033053624222299603806232899219797747281176425842572115780988944075439904161268968746233390720818188662086058866802972516091951900942922648650068886231486595896106964657977465441675883909426231340525082637542895622027146370704829919524420344022994883056641911061884421560070742821694209554126874775702572811586882607423820498286775893737750426788195700519338143654767744241097674306553086250048538983308653626851086681772017820705882304264486727355573734791584573135772620071253910300690591565221503525684619850260148757871021079970604939323652132874222286028571871462772906216919721410912495576848672757419405243062445211865253616280356235846635776431334443030580979007640534538632187778352777960747783072407959470200573756856449706114995724050118548611757170968598649609723726678156517137661942627430346133596311028847429457949123136003577771266657693106931298445097696954942938916913946118833373224798751659718624289008985118795576157869160744499907457110818881307754397321102022481423347730067052669423933184628100674801217859384460215393991848506705844971550660743215008056748009685109462972117222428724020344553940665898619446710955212549244880001095891574873641203135543882734056516782881755780776185530081438741091624577189213970689448361505928431932871872179744901858259762875428080573621817818840781996945637745061572511432313604033787973005527087845171646586559728456330369839798765649146239785240758048149043415286320213120598389132084221585465922321202790614713935219455045954686942056350583609119261243033193121317983820650732882605940939209288617580022004172946556593035851302382405638256891814111533483385956407669216562761455686287853891924886397167126665843972822863157527949139440974843750661821206681331553576391908245341013977196534656799678935648395190093542276169607025680146562042527947845493946870047977739460906597449488598211741500390187304061031257501180490752481685367282806422419015713199685691620902979144772001976957777585643289174960925339177035661617320350545747389253887927676412499547680899553347025468662984293190556635619464084885134337693399410535643644138011823131224997573467507706061244306476672525666476934916823808500705849414595383568178151663071801009066907375216384149041077363534143432148514345086936268798261596659815701448598312809238922071825729971226403680853388623501586905975366270809174630913751520748114241936160170698762275150857330419998984774598876457218999887647729909705743859381444587711778296804181985015889046298569619376047705735932004928083681612609359262379375424028409504150201476214462303460158718766968007778477586152304558908246031831152999561724989388447639346545717841705169480182797078546697172086429322823110326166773687249259965475037297163105559765846797525134456716433089077413494490588992800859287195086082516818537775482974969733270852968981058020524311484083239728975880652426443421150734216088514429766129576300980128198697715122547499832274720876794261795567978076158081612950531624684401524688412689809986318790794510102967390267534849821178331411611927238559375289397792862114577
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 88 of the certificate chain of a 5,211-digit prime (526 intermediate primes).

Certified number5,211-digit prime
Certificatedownload
Certificate chainshow step 88 of 526

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004817434221 --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":1100000004817434221},"decimal":true,"detail":2}}'