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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 #1100000007734453144 4,614 digits created 2024-12-27

Value

135089328599053157694064260554555793882960795582616454988119819578805679324415843312989921014098305745991822461016457763877603411601945113209792241204971213114727623586188230150403899914500545611721853343438709691728562158254651356697576195738657597488699065635131916598613550512936849269157825632142512733699796457930922468217695164111760241601649061371340990528302454572662477471810107138585622789304918527684033281854557490248805571176466656967744774203188548195144917854982540105455632169091508078589027471177363631747039657603543516776203906198399051722821884398774380826034796024052565151322273329686146676046759398528384463213490045845176917532730453337473134802946081714561175050673129569256470636698637632316456903781001357562659100973122742403336689546153258704795817766460039418299878229223275462834832241988759228276707560755610945367315780417912816636745167486652420414064683059979152513789381454315787086816790373771607746490074844211021126186229247559381040261642114613455037005747724856935358650735123627666354820016909231770888753814297551235412199359038703988156776897915753078287498970339623493981438050031226618980955002378143315298396385882720817565044370135418704673326452984886638792043211281042622049658792719546433197566690330023640683901028743553965930247418730920405636825775959063111307118762637102898869118129291908641463655712385717952213736408281225452617483325261964035097528054934021813659290448910213977662470270496714542418946645647079872400317369187378390131691807296699948062694696159527494229731093343602073949184668600653423862386249694328898630038208853535393092346212468284083594678502509531181714159801584545259699300792950297414338299869692247390759799217681161641475152054270666577976525279658192851106696169729978248712994843434993064261881150031200483193888269455145987873077563091136408917021865265857048363220878213525431080358108659381991774259100203214628749929334723318279728908651566273325062954244588198964340412285665588446183207821956866043837371173073405290131493429763643229012116883684571950160406142370372695698679422492730745863568872289451775220396545879944354068360879085308992671187229253907184696435214134641238489666171332125650808336183820277870969120761008529328550203245754305148679408094298164236506229806635733998843283312700693653998726935144275010990831876331431104734314845231054517593722580322802726994074506583466629278472896079850022500560648995215610015186957595198614184563962743836201257435757217412702625578763836014335528361605801119281033046066846429694073900726212175915558224875869128800742496486135994244428665956898200214453416268373507671735523417427621501755857937807367149933871268515313683223743973448528983734704919175168428029619267709200279843180363766859190570933773979157670757536283249243704731244016461629415637470572676439633695708162990989291780697238781806850586926049715193344318217382030030493110929738533283272769000995728957812462292472828021356894693365259650249397829664233979649960730542073857521953245005174380038249408421143584706134893383453152437131860686776714970685863555827373453740736770004707741094184776799963025134185191515516548293136181400610363350598979984777400237460863203279225113520846070206180507729552900413177402310796268602097245598790948544426409645161784955835519484821785098115319061122945787456954575745714904249660435215755125367864297700786336381748996944787733769202635446676259364538455531848791793428877963810467122539154757554434484175389972674454568197827714935426244669792906507303109160654370643114132456410872652188045148664072064496458950612279020902928880959255714518756217621959656584735537805397414489198745596961246798930268180556366612006620005384913396302576959808162514891357778262528233848438410311653491700457378109372885387086672866515000623863072545631231605992945782615952550915364165754532491282711652433942417012759326931225340288011988577197948059922818502827809538091582720547067893229713034713466497254681101157977318450532917549498952495001558076461145112897044218676022828574317528657220353490753710622334912778519978885598402377242740602077689678490557230507678412965495688610109942397945451280278362874659770241943004952813047966047647417760674688720186690145248071262064519925283776116895116848226934589749319912402826953152188932853820264935222317121100848536992996444272477821517633745904188171812549203167604514164933365812675787201623302240368997154176746491344951118531461087424050494615034965029577056569466858199354587511363389112477006499055023771737134618287333616455370525342175827991684659090912294219658432410590062583908538977353092431
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 79 of the certificate chain of a 5,496-digit prime (519 intermediate primes).

Certified number5,496-digit prime
Certificatedownload
Certificate chainshow step 79 of 519

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007734453144 --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":1100000007734453144},"decimal":true,"detail":2}}'