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 #1100000004846952147 3,003 digits created 2023-10-24

Value

859713850997210166804540715273030208308689008447534733668945316257940551793642994291298677890803581872403769926517546886796941599193310370504043778929854628435306430484537053614936464542237396052997157643642504369518252055385221222918252800915333857470658120036137008777911323266856784360880473741421897834390204181614455650007401272709357691514777330686308366990814868429589637363287509813523600325017480585919609148938379396283502934339509790973773439244221553858547869625852234282561183912810833265329046715071703571314363681443964832905638098866835442296830869031190632091993149919688348098180118169899601446960932778340797943926426554744390952599833457541853892704575295009294033700285748458626162646999776735788027040431024766912158388622097772368388038548674369551259028038616758741991274364144159045388192295916379305647340223870441834761679412680488927358137264999524769316900943767983533803666862001906858435096369831879122534336661338627755884399714142800165330888646558290581869999102493739477609723745491656655327016712447978338322946513177387443339185882205648785969937211547671554053638427301487839594892752666647374910407803829075916332332920417002039335637610793592956545221809482016285014459469194892427781047793300888100533803910171868935239674427357052685178939033441618817362683143088179697493398260241148497265062689537917788573524691766318306239422519643198841650307848265496237814212546289570192223895902391354931154236411450346005290752949302016402596179617208424527017064873112660620472805186830040382344660627834869549273155450671730032061539011720187575658901091749863709898427914888049241656549147173934006136968022588995751364180322335331823203076102797516710673900290304521942993381012392595964876767750936226060885041190529413538454069099945476821303065315087686535958164953484022470926972367193570386355122829956665401762001457307955295937521490703135707802660193348462566103579032867957183306212555078700536719876644490506649812698668510762127697317731897493910190007982322764671077082578650040723323108270340450653051810451175780514340909494623423968755023377331008949991211119718018483464291295762525196012629501725288148138534463561580616590704348062584693818505950890269401579506138599484103910940809231930188423258203920043120916873280256399026460214730552202526252598294393601200570871212506017646476218107568807902291949855388046196700692199204859211153763038475735577697596827189070581708582337994568533467332456999196367211536755461294791373612780825078363825880555289780387819011460574493955834771225998598566036177897118486554077843040793412042160399257959292702778929886846772821289118167143010530968786622837030497060881337584774235447529399884073869926714822674971603283603031199011684195247593554876183995875323456758175787152810997339056169373391144344853255807828868544158439966181706334544998987151360146320015804067740331311371254818508302417608499512209049955666385097566076740149122627180647436420288090104819135399918243427982738247439674615007187
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 30 of the certificate chain of a 3,310-digit prime (336 intermediate primes).

Certified number3,310-digit prime
Certificatedownload
Certificate chainshow step 30 of 336

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004846952147 --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":1100000004846952147},"decimal":true,"detail":2}}'