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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 #1100000004829756619 3,100 digits created 2023-10-24

Value

2232213205913970299270362651691910428467283257987771832352521477659165390522844591924510977875545510976194710855444766624238350618388877888040510088812019440292616240645914323527163926178039379176249395412452849045602826590584704077685910563608669770503579874336419955449360417411753184792594066373966962830833646844268226196941527257169792835660752363504944568849479206117843914054610947278435341977471102712107764740679650782846731388141725748527386362243371994624489656919395935398854368178376156506448965031354033970380473443172264968930187768579795828160278120180178179323264779129120799157095695693195014289970938538071112620889427912062629821126076392501882340975510862342279343994542632103421092560779499749057740809510412923456613168786183143816237438227914690736126276620925060692019275098852312035063851994875399052738797986188989260401435205301302288068458510596935470504850954545438136108495242107672195912872852832333561574545787363975129652115257765121671071067831777056230146818340817347865071787729935707361293809235708324261118162814841833917053585681593004467812626379820493950110078051074685727508306366098517040933833809233175517339021197530114616966957571264376622056387485724873578060334410295650985470202552673130624951832464289241916892421231719136510685300156306995216475798630645651389590255439098845353354464092035967946864151503268439605099729547365362588163407955517555300465968840274480167707764296695310310696552164619864737561728615611295231548529243959630024885135945189151445187086626637287022613502669536510688851878257432716691604866786978914118191634297944343813037351947986981521276699650483827799419899768734024619160541248784809823845763621316582959085484205357593696096286968907296674919500973588013675817483119249074715010786879153947802888968103862739899767759546382728499435323584388956963951531663899480939952770456484051730407912194968695192495694409779984575091172641664121917442922069102821017776571350537259682266982622760474839059005051040293005488335780591995709074059358106229616343588660368183533041271351346613217129603749642148755385823743273648438289944504943533418733304988116584272749538341606323586700390387236587423626902586394060890012128504830861242316678599811064432540722495618562312503255979266394345131165002811780748744173931656560881325229741463985381917080560452185293980490914581755211327921659497859827267685797106744139028606139134732171727471320818829107270583103320563971510677058736859586719875112898573557445080469529738325050083390922234044222864766360746820340005409235549535181001899336146054537409049890988928086312861232532312246843347377619726900087773586719752229916947166436724813383069449740885238603285877574028353425144367056600746456916200083762501550154346708138106133022958693621891789219197609015396075001631032491315347476286313928668982333033933647469066951914002157145853921801593507908209516916977174234346964283411432379524421166030163109875210940512782989984931211805877291940942360759188600417744839300898374361623376690144917574829004129426537931963863641116133083710627768935520898043797202231795247
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 97 of the certificate chain of a 4,005-digit prime (448 intermediate primes).

Certified number4,005-digit prime
Certificatedownload
Certificate chainshow step 97 of 448

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004829756619 --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":1100000004829756619},"decimal":true,"detail":2}}'