factordbrpc · fdb
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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 #1100000004815932578 4,862 digits created 2023-10-24

Value

72198094202491863558740853596717570268285480790976772655653004583163639364613561271695916107115333689599702415333133826242381154431367932622630318451291551677728359725739724070724126290128775453887469786760697943260352809147556308841840392297240950018805865054901636072094225275794025118282251046670544871541783020847949949198409858994756480712288405010419960753996074511018591153460093806630181311008083015582662213627158741010431104479550181712547730410573417965055841832272094686349915598997157282297170571690043575347343419880186351007787910000467144164369045706442372433866139288140871724629039071241245606970220145858864600292236401440589762927754115538765472135180480874794458927284589554649144797434547236179626837312138057675146565636122945888358595957872123663665761018054882163708524622874800662158603014810737733432801792487159494785241119527617244516835466887410452590530867750067958978529788252026435154851116876298577515231674722362488292989976968194795623194283583822376338801436329456495456853674611776186966848284485962501735612040683174043926807609138090210156954572006189936189599750734981420357064959964705959375769947654894279773446462074669147673327269539289351840740124063321746256423326536851739986972153362969178272611829513208754789867909524513666766154387119247118023388636432516032650234695352792213365413281695578644920612894707828016465412528652701311476229368965436045935501138474408432578487425335449372316622959039946061532999674247538427749486457486036041023169985389388588201161137189506269383714960844948123568980952879074474517101786244428182693236274773094970224271076281206272466395288600634297427399992024384515251522910145538937757293106900637385349929418402360014660767628251500984846028897574322332278899685855638753516987192716567685146381826230773166163526216546883939059351831608210064029143359640394301041096266615905009064748452352764193532831490359822621715268821163609532547238169901099025416867189823197521172567555548101023667710125129558949154788533567969456240922336652632453738731730980653106532469037891658580442149289955280466479262032007895191409462216639056707737770715299974721394394969741847919233227401507824250112818551176781990893936426469914429098798958445093045969780901671963146394656416814461295970954676539468384837264247233790492253808682422283072525845645711531672124845332586201084626180265758006184252353218519895766269199735109214811705399305300905954051125431833332558850288617124125576943807118984957951789145188231904093917562193858870681474240502627432595325063875020118298649452359728351610383322003444679388738595690078636406536741859736157487846982028716760658271300961099249223369805423074595346603306002054610126200437019719673349210736974132101714662808499224566680281156698194111950496761446045703853114370067523166773795672708500285576324055523553743936922910291446775536519338735233401742864777916894474715962480236321938821228967769514587343231477594150416331258050261620166184920062030095139109922455439142399501226780875438944373070371428495151483415388734129721214254510381029851405805054997869407193264721799678822557114146209119212743605219568460440151668243753795093691804516544890201712436002173110185204888767522985335523015116860624821398679763988676281854191295885991004202458021164143254801213029585952120222085281963344392533543284991155348864784017922693086797589569876955356331096966283198188487748106605518360901540354392687289428984786682664660976127706161869187705823719138523808282435652069009411568642086629247235968823501106936373387439311350535799449279389365880123498453211687214695794054295819505351287225425443100744249669485739619876858106435962907002588682992171213692440239477304441278763908488994805857680124414384864299918619761077056458636158106245267730802520589160260609209996377737738666379786226021942517085066797553510917970621975595213979144543767696051878470255866780137295851291809505976628022620409334784841751594847746390558072544942107448114681688998610738503235466884141982871720866158205570102756123356743337769611089788128981912426297949627143278952114836183780007770035733470418605050928728104781992788769694461099777265731260483715318814054306619300923175926983127036116343452223979306135951930720897917603145063732447710479367134966218410484306504332368281736951782510364094673496163304452540876882760239590731863830985737847824990633356428477445117488651008924213223898914459493816104662332321756904762054414137702678993386607355766435710128393384590886087308285218044388576142155531274231447193945642426509056267954648501132308022153895318760181317701303849012263338310190321553391990745267345548549166527167630071520251784739943098347672139014158639515867138551862288914453602616098096170143497548723492111139699100687783343876676373712096488857718063670258147760429213879677565451660806888430634114851898751861970956241051
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 53 of the certificate chain of a 5,412-digit prime (581 intermediate primes).

Certified number5,412-digit prime
Certificatedownload
Certificate chainshow step 53 of 581

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815932578 --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":1100000004815932578},"decimal":true,"detail":2}}'