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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 #1100000004853868110 2,347 digits created 2023-10-24

Value

5160758854840270862293500005973762663836463527165585130755783590553402230591961312351366154900262230695906706973358437096861800730121604284661304630085319731101385531194708447336959236603494286402035698236825836768391588247399791077304540986460262294696721172563954124625721767740882829104123920974408398883625626759963094620635509645524776436946346888934445431593747141076085747149763723843958548532003528265346574622558561640611420719771277374531859505269414101608714866269173999124045885378429685463895326215655992569198266681909696229311615182280471467010449618304428944822587343344847274271560313031162664669435389934609543984101006850011007173204311761307132799332641732117990621364453296258003588743553315567969100225903032583793374636597938744066959976898807716734157643474091937289279714216130282818604277007507651518495493892616414432549641068526739827601120392540228037217624790124520812050415763317932763276264910350897266339806266878829840231978287540828886480841087135055363091329832832209234323163622236006409073229743186875622275659459807113586849049578964113319211545072721257570878573081570853828801776571646992041074462836849360386411839311162425419884110524662867451505792538024770629908186197271631637891879818429222384902408928549718861697177165369045098848657700399168770776122511338668001979959878571406045355069478369127819814403906170036539744190826805629047744183273241235915522921062119820542921577564701059985517380504180029054448133753716873998544955301337110724421938464760683407446118589847091947353298469018338838893041496665049734150900660829681250381579232158738143285330231911941629892726349952215653383295052349929064133418992686660097058173457066116252788178185041472729154681188928590293237965587494203243865810441513979697839167724866281462305200895107944474105861987835991091640499446642231839446936709569956298961450342965114953616566385530629343064787143758488770098115610749601381986565503477136812462926220988585235485902878730304335128559831192007295689257707102515722301784902057787364493435556853838907410040761209639443547716811723734527609527647632329680052566137660910527871737665633557505426317487673336896772658314808091090613241313819185482067042403405956804767578733892390095972074164540246982486050164200036600570509033598075012016621094399280111576464748565443552744910009170443925469656497
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 55 of the certificate chain of a 3,109-digit prime (224 intermediate primes).

Certified number3,109-digit prime
Certificatedownload
Certificate chainshow step 55 of 224

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004853868110 --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":1100000004853868110},"decimal":true,"detail":2}}'