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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 #1100000004815174160 4,422 digits created 2023-10-24

Value

120164222224392993710425337203725691853013672872033509160811161936533640635219740570097111153240495436988875415723136824732112998108247187219176472653237733639542263066925490914663891808798400305918768476916445811438106717308974433290673117534280674511308871437913219085021585067140165362119195808565354689887824185635984406105566166016431360644183648770252312084369920322111419681662604256971130321032776807882276997745586948759110926059558352343833204688861834629008513407294735346019562724283793435958094470505041981722277785562035894939675621064537471170581619978286233302423810834991268706979302164149373621159812729523240520209292857329539059076544947839535961874129741264970220551589560947082863236475578352489108817486167318016782747494664550154464185705077221326309059480241938924289380101220279984378832283593129061377437315016378662914139884907707747899082712515509097642895418718392085787989673584620637839214625946370270526362640662582995720722022891357553191750480955415773679847250977400548940330378428234633706751275727215753214173844247255308877898736737111802591673691237392842267333955054755404610120236102006708702503247859014279192941140141621141231843176770032902118108658534155253869013804991174209309614924462504958650845949312367504014376401662703707944945124091504215791309356532906717908788244303568600730212955374374352298810127704656517785300164040351260651205255207258935361864617837623678760478930991486771958646266279956626132910619757627271777754773183420740901415314899337027638315986144553274860260991623695710332190380573247886632865420590890657682497150138713054352834302870295604891543579743484904942664414053644353392838491467048458560526405954784935380600231494180007595699162698687099324654600700823686317498036306929407440688597447422804869624027760341223714011109134103539939551703618024888789887151812599877412526460133890889764121296290816696385636209696190251913975681149706108050868181870479600877362402955500390750387366928070137992722389220966162180407885404035814814039798462525401470921924258769688787935555362705837886242108791308492697537825945480227169895786742212430235260924900097847868767723972959202413666015951951376138156885766093612766750646307488484740364727564430270992668508966656105784747714541765914026668089514974227251841498645996977509767113657878572860129519262219361026820096946246254184041508965156013016701040533495680025323014787489439183878289126231373473200903449709582339783033756081022978882623163290953209978792263212075004337179719054139407310024393940666350584111545093654963670936067571711128032134183050191615643810300642727899434048872313163510350094933913736700824881365362550983811816528004770625855607566529782100051848065618988861829089509758057289166230518174255205744263164280727748092041951685324636785482303424851643774360066209678102080822338443031069307950298404328244085138283519094097646741585833422752097147466499761468689620353033188759488699567760151180385368347503317504812360998478727645371180247437910656163118336767250271708991375349933838507803112169465409063542917376536381874430103237201052349950190008639282286827972513794479398917262447895807698000174556805101728602451270852032338733580648494277720037893270221638375339422475958933275815989229007369486797568778943334901435573956098593484078874612807401235754738235909464883158367940416905787846403207070951081498685793967986135766283750601185260308436727250456605064946992407496417400614808821609106665271051051792397350816400452535780210875239458895728033144773746783566304221825873890816266558590815054658007293584594430367461979110213241600299763459811666608533405880384496434868949697367955578978185961849264865493785371419718655578405419428515948913926286638992795319985326863732776431713710558122731491481345637021435578990612378126610933665223444517289709149821838011051850689457971790885123241102117948637084223023850552609382500242136158708537015841768016263483861563583038209697943471607009494387950014925024165881897966868374770363592417941906494643292174193949600516208582093698854529645331037862593368799090481773166841575977780760847721436779908508658456326757144769085712479690111429096492779535442698825704653835651261595537409906387323103900377483754637193661332181041459628754209032962347229408000438019085628774275017033789673009726400865865090645173015768801975851942335513105904271247351231043262183314687034034099178597919899221108100135407
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 108 of the certificate chain of a 5,517-digit prime (577 intermediate primes).

Certified number5,517-digit prime
Certificatedownload
Certificate chainshow step 108 of 577

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815174160 --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":1100000004815174160},"decimal":true,"detail":2}}'