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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 #1100000004815282585 5,189 digits created 2023-10-24

Value

51777177538473451433060754468719407499895979229834801067465410643177035844172399881135391022256201340993335844865145116509512729638320516427958600221195746758202983267989535623438506504897163014575550262225605095235529013856197624647911765793847362793147896655952777101572178814011854325018045824028902131706456907842087913494562775601398460994346492621466004532356946978741622822375361277291269080508706197069430242904397846491865679237271640005687516909455278569991157417303372552528552903469442798377744008554174908455755306167607873982822101260331416808510757258542355938096293613815708319431399969731568681449983690550023161236888384011826529575370009643962474615199351388486479404047581488554229512189682876382735319378146158713548177554725608237840026820956073888266591976987969026140459999033210057213794338861854876788667771987206073221111262395739726200776308849556814179672677101965922587486768540539775546596890593867686614373193422020198105465002136539280087654018761968198640052011769798938070717232001743167719803230975912093843839176446503344003096398879814131022102477902912654769125929685372043304545404393322093452392795196526567627798576892132551445898343208102403986175309495921751249839726234142845604241376067833602933372925284155593757506185435461057064371324611032600154937243266285272816863633500060711297075002417943523722247143394958286366582917649482373957764605364408944606746537157431412177985882910315361296950609814059976035332377305782584634646750683213230698393923286878283424912468040698033963411983415071342931720751483223305076444429601459790817165040623298468518122226900518522061133513974877251196067166616588956415636457140427600124312235874128619224196921896731416723295288857697988612045983206022422964763691644850343464805367457472301883203553649995189604163707368354087033474980028641517590301453400732931327611741818441329239335509895772369052677021569908105140020656534508032553543606469820785405978323466943050551309251136368645325095333294833824755028832230265968281140819735355120248479115147380093906118832454196745361153796507415358953977538738544151467419613699487259328001040868365363494420670804655727478596574665397807479180043740057873644052998877407349743210663509065867560567099223928855684696808622269434013160255428634016563466122190479381287658648464791273802973099126366338117756354641962875106794273296029752405499960831910348231881780505956760715030232259148069929768041253799664248600105091016894268739995881693920075740781967847006944980455053061494499444368715560521933089435465175237559942274479079572983332763632195922761150706039893119000468188688917375597630820321169365586035621681057592709810574233940227431045077319759318920731678337511201951613412803096873263732553635696382144043031974643600719660186342547168878577949141026941781218689350976936115090171821774271692583709365592203491416683878944074639380646532857447125444665773430039168458330521576663528340521345422360918840864807146498806223609527783281228030503806389518055601859473484184607687688208518876721616115714787810226062202177079874400693548365926549272520234503822404258259856738029348420805585125884097008126905697237403383394950249551049191558502571180655294928566756967989028593771854919328877883374182571394237039141028707549159686472980006707719328086034400161406085635939062527860234773094236956391187737000410806848756543990837832435851578528146543665554481588869034517718112085816508188654081480888289369731284508246866080366354152985917239425009765583345168459981445777080852512187800643052245044903918871162967818050459689028622583079759589273683890954705191873175269411606121302280620694769283531730517112390443906411820584111158664587668159572008895845471126217484918908034481404390784645089319036315913339250296860155344780452204947001091085727788792451660643137969927047151418062111322382032519740406726714653131564220516238022734763632088404257982535751528520138997026043783948873473034180403873372705332738845907791555641698871991159654141761373600114396505497526412390739132562104887498036032460655060417109639811607391302496310549299151169147707247272212070641178370323883215230426138151353829121307942460129228033416429133846231185026137657675252419903361799648960185757003739038452802657070122649397836056439315214834748107439012194159199076674715280231974601644349185917307907072098470503875980819531083708869335948376288173086156378576694460945936968257128934127679717850293666994339059364443915113618731775956032282897590071362087394210453613612957038644811968870816952015047411180897962675946255012721556586748309364388831786174007280774993749396681664426040474171257584493906158149811350209901931882189486857672719553304667627625251221335142436588008642834342043983171052236265356489538914848045127210072871981588623780716848557243283568175418090265571920236384289546839163188319231898755824365009853303341031478141481400673280681254696747695678214639088401878555441688901365119715144574546178176300333124065988354762529355615404237315169048422671322856459219410173851048223181738547893241883594672861045747172158513820058440794141555793895543928275050759865778296395763206846429210750120930789427624863303743914095418467
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 28 of the certificate chain of a 5,499-digit prime (558 intermediate primes).

Certified number5,499-digit prime
Certificatedownload
Certificate chainshow step 28 of 558

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815282585 --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":1100000004815282585},"decimal":true,"detail":2}}'