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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 #1100000007106566954 3,114 digits created 2024-05-24

Value

209411944800372252683113808419503357475229986108530415422773435989135709945771651656567314945792575357944894202829586519327382874846056443576238552498264285455299284151519156579630927141906711541146092571401096243077869542296377689867401680924796835484631544830764621075913551104966123404376861462911367113011336148447905327512733635479913205823281681434495903802723667651044241332158651409640591296300034871672121156597440860336215805710994783495829419377667736651902077112035102616388596616713868535400854515404590509414430270331835077573537321445960291013278340649923166625627762045253782723035822241929429380156116145907542451518905249258445343699088833006330971722957158365957412014496010877065205319553240782984375417848286459514554546790320889976964393031930599044248791552476004470368215668162332884506542286654922615752624266051169485967989472120465536439676243813752424696593108659639890346551356978664832823456188207865415804342099295125789981382256871852561747167436937371544163396682430270264313331328392281278245245337469519183909752945670367648455424763187154371891021261634129206185470128966418252016246104206960121417133835672541420724056510543060397316078905283275899841307286286721978009346562568779836314197975554539614700316523526554139357996988786418715396324489380410310094285221440602252282400653481278924817719642758711652257821886205178686669079761617552167569080739414939756782261274748283554348518170273380832893706403120972520544215881438289707352125839703382476191671126241049703755826008106143459374452792363408275271487471995890294132827609616297853096073472762353667147089671321986836583881661060546185595428155938811586900694632444901025301870812732190276506089333648811852798904598768453641234913704574365888473082197998071716062236448552891416652834293940248395611588395584610763587062950308225325611541343863525322072095066862177436840784363986782696856705768461436828691501005214040006184169800212899141705150849378950213201327085956174116200757315187813996226081185947276726573554748833762870642339972857583846820701247229846637718919380069911301317790048794474206023075385595474959393643431551457862504167386437306212286133060064673703979663058405792547291599446979519503746884221994273463379698335240904132017141074941474017362083819558579076433991824346507857828974555516934390534055231039083793977421659432078647506267800932313392009804526201290991477088154528989310484224246696170973433527626378551171992734973715635631828175216427660704065688853156558036881411667251949776191286203718188378829496007797302262775839116264687250212464113939626851921012424545621832753176422156344664417535212759496299506255181789202963323467825054078712747278133199994231153895893737394200506976588711940884266681932588502436983395890757484063684195327304651016602109814265842129477510183554994154489128473635240154549029758132107666844731705226800622783295752746993845710107955243452341499740963942803093989341882817688169641066068571753268236859116951745410788902003383485119324296911261002113862451599165218553067901004774671730989982975431132770683265492850755479162833203661243677997
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 38 of the certificate chain of a 3,646-digit prime (238 intermediate primes).

Certified number3,646-digit prime
Certificatedownload
Certificate chainshow step 38 of 238

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007106566954 --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":1100000007106566954},"decimal":true,"detail":2}}'