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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 #1100000004828081657 3,614 digits created 2023-10-24

Value

31102054895101704412982858472878394842138189664068548958387153669621001564118602019540851239105519764521009458028311679412108744076925015811686181934000795340065455572757540945410951804438397382977429761999392612997306389536458041964448856349859964649102998625488877814230821478213037504319723514664085124605057243955207565261195169364858847813541250524317939333585272476033957682340267966059471948049711720487731621067177481714096851020995074191499457421198328585501198668469404021412967355962567583497997919568210197596556266558263949022324817453932727217630111291900921949306288570877095383973435125193124652828939983710838509226005358968845847896390659223943593305869353461822200222698625457004123896384719672040494021130847443557857778604156708450693926398535722657196003005976571882880888957065064458538621186058959817322015918213511302337590224503440213874773309941803192049696088697948299559610435265272144597579165933819355948799056935199988181388629163349230769652568402681396259041603111789085872249552553596923729268579501378926298500159938578686745453834850018224845345613034150893033807143322446825067236190268094810660275074822004933737595649157856472046317948076469421524995476177786771750963447809487426067905130494302866978941743114993815404425105213327012138021615299298390450686704965978341371964292195394996668498917030981208674442858361158148957609795638595579427906365513299951607857361210886931155779485513224518229156609087318224534937646438992855157428649497559999528195683373331762064599244100096372933044357384927185925529066799035202575556159126548522641635592855639945086059357782986187131385431041538476137212446762612539781504091577271571339173815680247393683203768104362936574272359114629722502661565759760943217075321174573927148839700740048042456993470838144992477525284935332655209424156247105960092606985961583419091650609383062132118612496622309553977142035262817495749996873899541570884513008557642963501298691456859872562760344362382913748606062901077661523457306630861654427811130223088596167904038261356106168842171398383221121474509670054742986935836188108587879712065600831263374546655393125014103305957615814179980277682451519925498143446679548825373665354173536865861388249244518034147454919735042384396381676149174950296441661784154174648934361971235494224813146180755663274138533989783471202911947215858141171289040936632949391740204914367139977348145460997865550766738900470175801931238284069867341827098587850523404507354358343694964933186183813079356953042215493923957611204184311135350795129844400271613606926514892284998249849243611325758106133072117270485734533549424127501013258198370434283109194870091164730899743982337642663952482541010473342281975639867824984317438652621435526384076936458711849855788294193726805388060518035318926958132398550856947439115146384626224018341503167225971765684835036557831149701154976477361621568417862015901353666648879858727836717674923584508068257156323179600566673159537909776890084252629394848339326872951704383883800765417138337282134727569238415915483900426414692399679304009741626106855131106457863841544253764433676975961350161298640663385680943956587085871669432170487161284672072760858011343061322060201768438888704140119505056194769885500299602205488676139946272589979658017117934994061023750096006651808875482746214333320696351839794515323034761966108814222786830955759325016754700210813184238857923296356799497755691616431130234046475699416352026254804527838483539291297385055962331005591829735569531730203504789651224112542582936146070119123758242341605543138583345309690495056941968919155774622732984824868759
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 52 of the certificate chain of a 4,135-digit prime (452 intermediate primes).

Certified number4,135-digit prime
Certificatedownload
Certificate chainshow step 52 of 452

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004828081657 --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":1100000004828081657},"decimal":true,"detail":2}}'