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 #1100000001026447164 1,501 digits created before Nov 2018

Value

8569367963036820655378784584028703918797756747418638000614828318032951853008401686297338022006084779781388103395569471446614783013692205056954300953133648730095197381704711976732071517209488793735580650175156187566238011691559198467506920075973277149411650493876327584289439589555624280821568576705636030955482678526613284242852780616321527687855717826655531939942135326822490116434781599833737679533957187990487261634261749056011083413789586949873382158681752525331395532518745772041706963733967136179104896724477931648665367816686826680937276065192987662468035629377590633866878605760705699861217677759150776385645393738353295204013400646352562143755397285522475532028034973134541320424311156343351374608099217787531094298619423685365257299858673227560713413394516748042566931468827471936061629522979009526931632078830574047743602397954194340830104344888189950141727809386556655703479075298165960568787122159122657531618386374746114353218789928817830577329759957925250208652035951781513250211469034888767998755709995774202750234926713954156439215086248185844010214869324263665363854476378756206923161912252148913987757431361712006922140003715942804026038983047654667363314439427812493229469369127886776076652063433298860200889138500225541032910440198656294525731235301747214997220442841658728708069503617325814112421303443090795894902505866680522172907421836421638876176734826574383683065694160230989397991308525463142890470013864736425344938252582245562330665712626331767572257442004895622017695281
term (561^547+1)/562
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Is factor of

Primality

Primality certificateproven prime

Proven by a stored certificate (1,501 digits).

Also proven by an N-1 test (Pocklington), base 29.

Certificatedownload
Certificate chainshow steps
Uploaded byPakaran

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000001026447164 --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":1100000001026447164},"decimal":true,"detail":2}}'