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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 #1100000004831644249 3,722 digits created 2023-10-24

Value

31204332211808236947013541610097866363921439386301116882790775192598484860721007493055144985551590662599878152456899497245204864946712177774686305184174180564773072285352433867833770427437284717854380321501592276491806063023004058731649585665474684052782946304294989861170654220304177459791969557523479469268594110048763047991866888001096159851553213775745028141700297907691127003804573913833353355890039511947478756073563856601615067983800938036336636947903288560904175912839131803610369903924833134879610285283842767154367862841935438878438768154895394115394057667167609702774662123940155185440844196484810986665057259542982707279574387733546494407804794693166321934678841781255383811076025443058568196496015058273165951103576976852176146465804972215950977616978759931152423425468297657418443250946147769017600818202519159008374023420606761735791174826711965246088610249482870049659534961082588445833718697888551376624675340797683283757752796324996894973265979151708714239837708939473006030918782740227694274260895960139738192889251180045448971976712499958255183711389649632959550085100056661596984414229851356976118187104502287810699465480594676953932036218787249849247572045066997464116868415680261676299738345454258743413519597479266846725282133910533951115418173100426747640506547411116085240871216476816538361124216068094105371139299843771163773020682788659260372373372383976675165449406180311076361292411431753323388593554534628809438670023443892932199783148229933441887643410694435276487061491238587393202097139853474216137223373965821287109323035962598699941977790818288344707205207978645567774924585079329333900667339789811374883963297668274495211712446087897071977667553926270844560014251354801404785957017947768361207019876399323390836307046497007007880881613106849621016456445909234657717154169760884140926508706762235926807651420316425786912350292033055354188433780878145930302772690456972262721316180987389528352361718744498984584184828946139171221966623700610816279228149490861275236273530339169531084644284880501877045590455933848351430856661568245326618237587805663970311472670939851763754644129615053328112466713992063999701876696551621704169938442647831306894283339098932427061713684672968000236491113043862033098266102194741528669873423391000467778706142916369568673658235617568237400003648611813100185928375940395584685863128739898139782252174534570626048761145846817767326218048165788739114042904690016311199184257680865881579190791397863466488287596953059671551302717181865202956041459723014635335970898400624600530240999633194020570277882256415788767980611611349614619919922476294775887654700246536692871720521671382272969044116641749932918040212051137117180815347482527596476031063697956163361674984835103955195923540753730329016038354106612173837280903976293007825996048345855194776501642939918042328232705665438588111361575702178659712729903119671284506089549102637889018817206168915833168651506228638422370602266150035817693067513418439639664524180326402280489517919788510829098000668539075057057989225931996759548391349524934712561314499476087077962539740804225317698847821881739391754107241995749854306126486056132220683371142733187187093988398538657514485090716205778208096449762161125072921890263787372683616161098352427326241201852214361630289308479951702447593260970064636857809209916808189610637021797714458180017636966298760220161205712940008057641354121871317862517225448351530987875182540864191457038220079394508731067538495079644151521689848591170770713972194405124313319421725594538431849628836621630090810849606267535822151213669453411914611609189351932527207738544025516004011421168021416927615981375906345688974010639799781287226659013480156387099423682966156735589989079182291
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 23 of the certificate chain of a 3,911-digit prime (465 intermediate primes).

Certified number3,911-digit prime
Certificatedownload
Certificate chainshow step 23 of 465

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004831644249 --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":1100000004831644249},"decimal":true,"detail":2}}'