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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 #1100000004815933684 4,397 digits created 2023-10-24

Value

83739954364624473570780756574625399434494019272049271261886414476310342940574002516154321472963176380382192735227697108787960164514912215860400547092633636961245277536456961312166378777398484152436913177310631528794400118073254752231471056892781593354510608697311720610449104489337157172461866084189489356730454330399194049993055814838493970693751188644738734622422169395093863826449985780711265093707461068412142748169362092131791571483819207696526971934963384808772928735822588019499090894451183241553203768340116443707984823760277409161051979254005830867760358045095356896801416020839598630904245609761941391525071035781972610974746692540190036653142915030060796096819969633447079204884290047765104671795932777941908429446608779684514688491748963027778179051152110737789595726378754315544421634966510388569592086254167275894572471689861579819878625855751711362309373181809582135593401281526386499364615683831395934590055018654095585852576643612497579255080148551499694934522902183870359671030871634140207405746898819510140881925943294446679556946365524529326776749742392775532957676341230908083088977553422743932695898861268832647206009084018569534162507267850888539050526494086079468496912686322525824896625116048868394269431425093476543072368096309345068785256437917495832605233574756766885598925338487734673013099836703299151621138059516837735235003564135793286841146055655788613295637050740843079852792734731956299473602407198353305112871466936811693104240990968684498547429814851878971740764975368548366838207297539031100819107593691141446503070260009953103622975474552350874954979046553134900699344771911253946989322639432179049056049888306171429912461665941310000363333132521417497551793674667759598234284610934134721487986063301587884238810510350664931031728592108870595258155883872713887421836614251370732555737270949026676673554814576219483700518694249723876963930126037081141115642868264879017221087215601664849096679195981834233386541000219244245604440009518427001386572814234133940183589950705545615965364551354514472075057256127202437672768433429649411325022297193571318070328805089192241546172720583642268988466172853751548739375928710026423937609314409518769177466650106371046004770281572944053368531287877196841545826711331387102164378571159726885358513713862342228484297665457759397557449138358349130932201065828255512453626288243553183144504325793705477617730867627001430429363732935743609962313644154171755800494549053223377986903213582209330472096333281288945106468253416539857471041524743788127298875850527263944641844290321908076321327714564878639312310979758715751276389216125808081243971579952032005301058909252364949568547119143173193476260662061065599785916306098440501027352345570691001255036925822147953210079561603369890115713109900701253110887635316978011585474379269350889710356649865377387157563916158351995600991977933506274347391976347134831678871104535986913922197169214017927741705633660166854746248430146005680171096850250271869858759962108562199049819808481773801653326472303485183369834153240896003995032192869852145360106767170453511131535497267271195451918299338207531162881487577791667748339708556390072474235682241166073877587871669153799273795544113553123293889966618343650013011730229608303527657030094679850083561637311876465639560524348501466291032753532005716595582017028908801075726002162810880312719652750642845218284538661876881124699504330908692548726225106166039323393264285210129075415673199332715425887429724079879858412950415457232465354089445624492248833685407456382722346011121695066968164765065499348223066611990612036032412775196785719652083301457055508694395144037410185828655159844405295458138734288581728698371808358311204876967791125546286954675073670607208027780186280380744628266601744325305125470025798619159766782594308279649117574826960983450796340197320972180117609374255331247822526577869671360184542559457702487422315559364742667330969189053680592804705682568947200101857844551146079358437871383940432760732783532453568334531711931058484313320961968652151440730643644928511444902546987481250568907258294025882077676317088722078117221510827865370557573377124652284442128760135689762133374753333663309674957099071984395115319809103307958252069948141604647806886350297292426073850758987952122301257291050188987892495587962335030079771405087981782208652591465139863429850328650279446261955838080993767240588231782724746175183
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 97 of the certificate chain of a 5,412-digit prime (581 intermediate primes).

Certified number5,412-digit prime
Certificatedownload
Certificate chainshow step 97 of 581

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004815933684 --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":1100000004815933684},"decimal":true,"detail":2}}'