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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 #1100000004813657897 6,050 digits created 2023-10-24

Value

76821745950518112758453158246089669812392467100250141211546502667056574880075314107213287069259857271584803345716174501920814867957058672910281207776421470909660693741541134717188860843305850901996647110081485518353977181749768891635587144055653288718213341886135319817394358368956204883639782153191454038993938496137844106268507609052895352036600079735919536530014470272508035421558191099586313491074855372966817876810700730701532824920773424240150784253899719555244082004861543525689395895427325095608936706817087183557659524051176150987284896063027970382646981953472091071325208084947759249339909122344721543244209395915264908144524700868000611084354822979626437378273768564886538555006917145868958528908824409923309021466433233457387517310308847400066128015655253077452409525459038672804604848095435013545347140800133973362876847905850153211071582337277835944481607439967450657419364017969330545522840581378818795734260724691300672469498231210325457880474291593136966612212024822510776834571942139761095015376598999857006461188227741833003787590385675353228457930168956805854092836250563704700334877662016346478415987124409678871219241809973786292417184778230729151182728211828017034829547318067431554636732253410233120478480301446035954398882010996857783211435862174904209891363020056001416516369083948834399747398034214136425226090004362008194295135079811186739250013523046382959618110759368318907641061637568134947426228873532804467525272633420167869633351424362950315818703056219093115174176163118814857505695582422118274731856725040336557664198997116938793191567385322435686418346931963248330978783777335027279873934297172382892213821655762257598972445080622288934566914128005045246236183481505839072467473126204206111032741349470696665780739979634361818555361453965037161241493093146546696385759745216839449929164202883072329872363591988722873866668027065539306414155398938633568171777383272458188782939409580604879163440325545865943328702707531070505182488402756648850354178407043390364172030681533748364224717810011731272139585717444885387015590665032633684800753801508520545860873961061241530530170975180455005836830148924039582495443595596859968223816219315592735467214716799999394282408802930571909111975765323452730545909495492385443722849830833596655799510767258833886289856369786472895060507573915442035796915048785407430824405019835009390283798959301567675070802625127981034126239234847486700296514912216193101966468865112959647746424447591323273396792680581235793976240506209909603646750051883686958597207290524395329103636051946799892371835057327963426030582401967124586723524375844139227328465431987837192421981814692447934780638022405911194886282416391453782821558175151398817076193281348175900866779412705010969260371865574856650550327427273609140944569437558677897983979999928225979937559309334276613956491278127715061434892629409501225827752475241842696941337444914986749358545795523526709585776013566708340665525043298567489867793987873218268365319373489034511645271821654328765513446294270703054543011154701035170914776078696266309352537018650385668033534983933124384378695422791965509194797667969369279392412229344523151075617813985490043040319151702596277936011929924802314808530722380870813451661030910488070392842432523171629880177035926143783348613206010740950861615928717152758152559523713395071183782187898146600934928728249986630161574244248490779964850146797919914470047192798338209613191045327469749849580643003955711090421589617000727055431016111194628321961994164566982792511830858152226399306974144205490515605995053306058008434423807552040479852732358283144068375862427536524848007029520970569062202932633081023165075864499756601238369367567347813747566753345430507978041113483033369742017258641932497749473588334029737040498772134126169855048963013293399834584799618424493589079310288415845366815695916604213525467950199567277615713744114957133302656768506972445435267325977738857109771392470581441692650530913007210022436213954167417076482382719182162525269911044617359949986939244776327160822878776509033250375686491288265697271277666862742982736721628778682772508949020889437490668332703421621844381975757696581765816521430616906528025309120791395724078743640765843194953105477388955654185575832501772627077072100871354715076290626927770713607689805925925980325490573638892913352136187222055800970895029621460188195708944956643805596932506207282154168358884471650152171457571674409890450742925460084016722936634398735404513542003045958132696882281769474871299227051144733962297249035547923270350908907509258168876014618786301817063040134396171522740065305154538233638507867742560793558883644527154076841812739563621325722024078864407490982137177765940217356871132725571860905195888790380821334577173015213086513037531248434886199048745722658242044871331192529247591688025530263803493581847884525575338639776963592458240597639738629141510560107187454030204062066976576522653221207051998572803947391274508661497348302593487962159804511781370219447929230293157871135860712250828839085902854033042660781541714392395222515026284087659606790414883266668286750006635928788280271495772073667584828795803377482860388474579660264960977759799381640659033918506361624298928183118014684442666033286213768338482147028660742478274457728001771255030623328692773697237595482817620827248898531387456854258820784642148564218858844778472859590373083313288028065614910648156532677485629392254836556755264983810517353194890081980024836800617755813882627046520724902588533415959784285692720615163567976918143246690697130034614914484528447769445404711684263431393227956355522092071260583892205305046772743588979392285763992399020124279927740279749802504305968011214680535102629706438199603232804206187204842432847460684296267161701485626942023307442614886130792942934894340208867725340282147547916487834230540007079639396329485925413549814729902889471772159799316918707750497356057977459977250747615220677558267896413245056257895297143014175167806631163531455977952112682532900371896304679712875880034069949323744933459598984527
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 16 of the certificate chain of a 6,190-digit prime (630 intermediate primes).

Certified number6,190-digit prime
Certificatedownload
Certificate chainshow step 16 of 630

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813657897 --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":1100000004813657897},"decimal":true,"detail":2}}'