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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 #1100000004814931304 4,506 digits created 2023-10-24

Value

168143378343196508680248603516106036162132171942123822822083850640514333555537789882021833499347641431478258554557696899718388915983997580604740313332182109067689482758985021462886639076127643847840722023510528104426195287647487981103808584642061236477386867111629359647793396094299733506878538541874768027203620702746287364628987054220549802272329047429195666262719911790267647986921317586343014541814842685564047508770901626847246950476299475306233283618007960293120935981364312350797058830901229661765155052792590620352183827753946801128623501214453444915429379245305022065358917980256575896025518900752016968803378470962894066068175545810410002975666208825974182461424674465643544899433466981558458821267080637669029192486131574750109408268563943192763670683685694536393881163650299052706668126330826526452806339011613626063426858381374795732333333206347196368394712846271449151609181984509172524542953161488159934231225600359943079870546236700858141013549801256152945589030657441038182158071451643272932524634980902113008711323138777026927789145506064046992323244299511019592231798681527469676225297329038954694722529520027072989333283460925219520499993230322615273383398537198072978099673505636817110083408795985645407514438890608048022441171839504823630989765271292761414728875243156475773798358208182960148283426947844893940693928877275933787308038112795553078034050020159094145187395174993867193691958420529066279163810971067905710896291678177850381001086942247825606057330859970632320339561418202117279542030897247587390108829752217816696100517874758590499329354385567596781259138386393424425406842217453622009755942219595922866269009328181033229007786233804924106548585706515155101946834565587112721208175620081415559625296018993817571506435691131508824331529502082449788089879665163808270265595372063253116934179386882449438217674364009241308590504767070181547207572327130791719408461119624707291625669422193835359857347213704494036135566533678806579783099988491598615734455000006029696810260701764171901428695612580820017797758687836306351798102471874168088671790080405903863453750283221480901696206809666723003003104520482030332015510554853675452209707611864442767236638521486552845898793460287532147210221268617823762790255010225335158259322526420115045532854362336315392216244394492907452330843381273643995397859506582589641362259631800975486194131638706349007432198943205954723918250631863287338752195755125499929038574287758444387774272285101484738655296796911904568218609385213642696602629699565129704547563604129688456953859598636705829835613634907258208774503745410999571835163776969887144291352719733007745349961066271472176242923722340993077070055319187027636889143602250013820444856293409641182729978957057590799393641694979409193761695148145559172409428596113284317283874771965828334553805862246087584550413762429851749190274749122268056047029593826571580352167207045917217411566881800402387104351748952670928273577192994756081765682160030065034438290134888147607730588750578650568098650870307070290629736640751358240354466926294418442449809003969692334936558421756694143302896621739558034206526939359655009946516432166284753951857506637283435803718633179265724732706213077374105141027789524236664170793022813760216600494148929463980864530046472470380920671697697282491578145176765873399852837693565927670936016300873429210391854590613120869862501365735230201097837026474183454508140146926797736550622582422374723246402457778131763429396666778718362613653086976840078644589776939579576341131029461982853171391142148065528783666994976583045113113721640323223962151970925192513148707339478626287124567942827317276380965164688139229463130961186021498617766733540903311542538556811410766843038526695605891896656293711086904577611318626516097227144611064006884943441250827375500950981667597800496962968453879949776229857204277950144675351134453772266049304418064025221286532372979647236884942080510454695568194086191110877396411266127680046603704497249011196619293522343287556677654578836649706467541186834432207222720913071155309507662063671982405488287191529632810155984088349071605913120414163542814974502872772672584821346032998991065974359674544679541710134920538773832058052322355433420476970488544399479873763217827864451826530518064679163355238609589136848351522480424613339883635224997715728971132758826916540858959941889665144338158879425010372685590417798497431077709797595620084766098860615226215903825942085090723190196999021935698775586604875752338604504849672562315353849
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 98 of the certificate chain of a 5,541-digit prime (572 intermediate primes).

Certified number5,541-digit prime
Certificatedownload
Certificate chainshow step 98 of 572

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004814931304 --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":1100000004814931304},"decimal":true,"detail":2}}'