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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 #1100000004815174841 4,130 digits created 2023-10-24

Value

13182898345284457945455558980412115899094173950789684245829395757341384584079460242826737512448098164200800954513066928871175969427667930685198180900785855229020507610490483678365615700597737971870550631425258495133706803879480870073831821027525052263140119717802871401048575335937497823954823294747896433030504368329612670120372012771682060746008364401649298549801610779025166448884279509253502006342058606134128702426425074428298852796556876383821632978343516602588404154085797871440567733615769810333916221617762099468181071089116123032262554864196891736258547711888867821593599896956232626357900364549344969340272058443386019391930543066022449091541654014284468095947773381727164982870564388446190901703435784252639535790097293871490749528626575091080265347134702189447826627233245223190170152338007574132720728532880848707884072825869319762325589816106031873520664373502528811672817814475633997120310432728089719247641839285542834718021475579880592526545297771380900165211386002480086367199687474046553953826565211998212445130831862116936408829891293090134511414178799244188365182581152992285406635848416013248064612630250101279575793356327752643536479939297097543007579008998001320485309526108992191469490237759500175736549455212340640800299980890605028683489021956184814582217997761445978487717822194097508638795381020061269136892191049566364845816029508549677004528635843024908247537988279886912666509679616506774389263145320723530118194914209757322069636997867313505566349368111706560409828600543232224613342501926409501690799437924650019871056050503973090591492322385255490643314882256253404897333724251387239019561892255918119167404883683768211263181707842942787627894589939974692438212762693940058988424803131415486575241219519808058240786843616548995651338105380530559266698438763298839874635851455570120865106076985304927699098228124390823338676405361377559740836707661148590359599566420824957363729820254705929308682865898137815307699678531706168582073767210463089595911283294768694891959962687703231334158189218812189411117038397740529390522558285120209113262043494593846840538878571325075568392064704649187436416865392437028026603192022194826019638712132383487846657953745348997354452334786841259207053111350092409804129846675235740446695174213269018018371342506348210163421515801930542665482722074175066532919183577179858993613305331759151404296803298241606546541147097224434978540039100516193717162550180997978840583387946840617368546779014264687741071392648548730229992151651212666083726211627647282772878999860985146145897804933050673572962646282046136537481078092000038146299705672448646976395940792785246433518706510656058173351519141244247278066715947757929173168446717956248227521463817923052324438465359145948300721243315363004301737222291354440029402365235862294221432516798336312851966754860912287279489438148529664834674888345597099595769274542781110745133825700654982504240303307454845624882860303314282784355769395271628760729094184601678698175562074336679019957592502529227703783543488795986570858454439780621635346802535809131818564302509712983413160362365184642460437223798048045096430972048137550409895159671074046912373455579921708643754220154360099812681950985054960346267124970801897509803263904121424424665351318117118829548062342421199446672985521749702215477905516333009212776226585505423192019362264767006908741850416626204131170358361343403842129416500041839193442433226525721330037623258994409671731386318021687967176440799152751961920022131335491848902440022249521686088790067486580580172439561690011449306064918039178068733629762754081107985561446380508748983971257881586371153213782848746259532796334111746809334391049514127636756914292227350991304428119501260246736967163870492851423883995816989586194953782028910010600550768794262649313984410444830976115904895887965481728274697087051768096471368732618884597678871658090840213765025341739277458341905998295825928484649404117050203234550224488773208643991952330531586768753421285815561208209988033652754810511077410147178188367126983769422959223642033844012709151886441082081982313876730616840894453120588425613472412035262630001623
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 135 of the certificate chain of a 5,517-digit prime (577 intermediate primes).

Certified number5,517-digit prime
Certificatedownload
Certificate chainshow step 135 of 577

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815174841 --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":1100000004815174841},"decimal":true,"detail":2}}'