factordbrpc · fdb
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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 #1100000008516200343 2,620 digits created 2025-11-10

Value

1828067687791013531800417698540231646463834362408688151305372256696361108697190373954299937006192399198735946151988074791384265059792477579837470294839026487816537775833872452992176720052617999648822462313395425540117264196876979104290439360658273959563484365756566320103709684222781754867925920770521811515222649708870273773516332818056670545885533093299474021390169438848542615767202341616123338192448990497669756774603880020957968588001629913849527312652753530674648279570458558768919578788772981687974070310138688000555311768914812657604941896092847138127787024276753344619081420225405868483779366764047594789190529735241108412237266979154445076762500920281130243656433955983467938283385229213543030731119988278017911316276694749500149213464659668340756972493049221435218656103451876459557516572268264129131254414834950881207716633060940102231086279401956678796879864628550112202146812230786176152047692440461119787243450548100046016991198630998833618437293532133521569044232296190034553321541668541754603782990305797938868932735617348488238052078941229016121845057029690754469999424113485662293175135942067475442818230911895898376493615973439533079042845707076699694180252562028869738263571010868859645226328077614996128559438977836448623399777365761304285712360492027388484068936291585639301328153415310489482512565466112607963264715390733773767007326775605097854273159351434502933712000827913663828866039395190737897822107151287722596181271979138350507105391634001591554834159739003726805886317955026354238264874541286193292143773109717738015535085177822665736643968311219675574223615073412138646255367402349827078210533483020656185655724116560436482509561837336393619368286777834811017551181314587258677410607951559192945695234333447078326727924926316764656562380749688997400596871203475273938199639211661696081559514930518622740591403151827350410067178622639974344034482110136970431947480374096485120349786441409686280306215828510981904783843963367488390850024796749393863785060955574420886830798639776060323820628750540981830143476474521290994163725372614213628326118042204702325314911288533221759787265076733941492243558497408962597553772750260937085451351711716052140484507576565867729066793344025979620521974027973131154008640744026716156881908755769116452782391809753325785934304899093818877601377029904760195348693279348669606357753792776149402821577075723515141622171566835516530575037736555496078936763726097313507619665859223972261674720348810311765956073627702090052378916618556001687981867579989751514409983108147743190249570937289205836479206461465032706060963174451537904739932726892607434628530177
term 2^8701+2^2670+1
Is factor of

Primality

Combined N-1/N+1 proofproven prime

Proven by a combined N-1/N+1 test (Brillhart-Lehmer-Selfridge).

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008516200343 --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":1100000008516200343},"decimal":true,"detail":2}}'