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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 #1100000004813901627 5,019 digits created 2023-10-24

Value

517056626536055250260227990657522068450337341063701224650840101233610645903220490951119213800133029242677593365224219446736211578862356792717436806111868989618904992445600968455975838285380461768667754163888675480788084098858794084590407103865548306837969282592491841784169148996758001512244813977302307188295320966241194075055817734785969438773804353840918209801893453902041063919795736099993371984030120799941310711556556445809979106560929512719727259549175841922152584875759002732309248230489706564007764960269616160649901645801343163234105828390441938181638157164111855937209830683968670295125859585097707777457326317420836354391886621746546392526474664836264327355861636606693080709960768597309106945829724271471404659680013038499666990353748592947128739447332858468011208750249291310072459094119573644667992158985827126086249564769591280850554628497949736466607467514742421491864398101137841623136592985971320360080554344952161334841627329310851651126079486273480387347018167868509585102360674278319114295442946245269787320562647275872449721377816876872270226242014640804981642289636390804762453138861971796385028569439472585991133738254838000434504357588570636006033776091247237254675204826027618909422934678413456389552765907095665199202340947995061524150552382514698131590768941726583327570235116890033133967185099149762639668754099800328150527784092678756444120327275848902127583371546510614925014345685803311238344145968546464830344218029866016849949565956365955421879592836697103105599096649247198830852343901658682553672328397873265411113245111793273779534248390124522598979185543748354973412800788320368842256851864769494989659827343653725834660897591039153018020834888099532733895177002836803769168736794472104078005187363149096048187501503747223068765183147670527686683099179013496545721121503956364310492223041757979140488845833867889389707417875318831692282373840137894522335467425866985746590191629976546870476680013244691011959025806979452343484618067370072926959234205966895509059949403772974097108455519187167846032446460974764331957961162521890519993580076654691608872695131601719797715913521965186235747393675326550111299598862541678054811693093021144713050483131313753304991539897817077907227963303438211957062574616520201343577604392038686951941276576852717419017807637758342789038206868116695284582103163697777275291610380059291129670530008700620154073605417240857786722877927140492710038245308091198093011934292696262320320999896876732250048182813199826004716222362909581624619173775136538031484620805333255738064606722322438015274838832934145802069317597736690739078123301653380931093230564646171987791247283990327424070001450792530738826481864020599428820370237551022211538632372169020331685769804556413626051264604190069985388255676884518666019624142699770109894006057421142522018063588055432548585420743980277069847456882224083976873268942131025732866763447953280096731931409273425036626485168998780277014810961798329168312984679323117884183524850177739086593840312146794883673743258932433516657592160637929692629215227253452495704230989240575559165873387526234069018685438509961618770667039576550761461578429224421086932739040832947080591969044648413456619060439411599985947843782087442373555061276948974222931764053528747458587079881574060273520634970241505605095837412019159429374625222897308156839299662662221102481197386622526368045013257150839731870283419944665258559035910687422738077915106545671783092540709245501750879142147600719895587059574164503980360830590664469947712030359455038828781241817077882098915803554726228351070164029700010448262971387479262231492933515743468896725361404084766859472781412427559634521744377548413052134924053421848734635518543289935471741307413925078194291003686974951569653956068079756809520108253798310534518028598059380746105439770653355516570902235929096880232940104607006088095330311584680493321502600215192150947211243326179383837227243770649577502410102215426987763859613159438734097648705282101802280387203772038098909966412886531444196194586607579140263100060578155180073285866595977403656811948153612004255812244977673374134495036849656652437315254877939837189201974292876494912345267447813735890777842635356344735967190428608156157524964982995799988352092719494398045791437878756509865825930445261323696251383714713660903009810831290900152395534258783149676554802327486188236195570421548966465882402433141347303725966574766319002261542257470887005361926344969315031201495007800948162165809881801108982955820188658587439186994996533845211197182669970087969033188577806097793728137352730131608041655808686256660185953394777226465983673319008860586866970477322489757878209750712936504216773178759851778522509900534791505892460735006062873156826638148599036404000629610600362702560295577410926995726248353997770537018617669808237289824659356174929819779283106781549926628759895176082989473843952211182060508345654808989248439702056620419615233595297781373467579610832745307115886803158790465031729999567673333466430515741637716899466167577
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 89 of the certificate chain of a 6,013-digit prime (599 intermediate primes).

Certified number6,013-digit prime
Certificatedownload
Certificate chainshow step 89 of 599

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813901627 --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":1100000004813901627},"decimal":true,"detail":2}}'