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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 #1100000004813643398 5,762 digits created 2023-10-24

Value

21501584757579626597014944212940759991299194651361769055779199164127253989581122008322382932141240594858530762748942029285749068813310854858755997848448811226148576241211221357247414806433868538730347368024328205921806619444253140384854060184988656574050552840834973826357276204729288676261188506033249791010377300221822598983953092737437128366349744329089380939381705945487785914715923661574140933612208676948030008920213522448852150776860109924108139152120935598305474491847487710630386448454721741361168930101758446244167051567534722750299027929577436704929375269697747036953971571325820918267994410085383146534985744859094355183365400274104533884771449480641058060324260188367161972412158114737877323445970740998091197001742502933251888050420159328950608899580746750322846453964035693978537752154420687632313107239772762911930288878969844477218418695057700243802796902954069861758448006168825042229143731576349950151699300026651489534160737047849534409349302192208982316285568016179775418986309011858525911477858087520211399529910835160911965860748923494756805519948909167730174045408210039919451078123698785967174970025452699031265724714753935541592172659448777986558083327965453731365490855692652146569889839926796815622557497341190338899964509670044698727705279193806691870576636697948753757453741645001826064897122471766414581421523585031989469917131016222247073985515373781613659928529561786050389584582185369563276771866025083210981231033444371618507710851836568523328987488213465624115554880837112780913997349741637364089340539523356146179978841880510927580182365862757884997690688313893885186463943004697286841064486489421912657330246735569091237225567518015131648446465893008531961305209131302863031432639992603800876811520198934190800000445376818668582430058172681141777664639689144677659828548834989918227868207621517443927981464178427277893944659671086153390976477580834936884151920727619429383974948198088049843760166464729147704969273430870035060911682511926040933950057604423517298287357959848247026593860459052577377593266623190268357328843024240315564519776755721907051706846614641984429317541790694707683004602901060461946653426349767644696460834391667137322300495905494799480608598073064821769112102895722410505672237574407310290457752113199557520585894228015715950249066762841488723087033941172455089959190790529093604256129164089075824040981925099000594021712908518380651213503544915594861865153112716769915950935395131748439074942136472805505512582645691634070923829019966165763086906848139839547871093021292557797359137533715069555044226261440183078569566639295425954232554595061547722624750374028231718077177726181429384857018821169356267458814656493615812525922143021277657455071131427228450985362258263661134482492473700511412385860093388207762522036064686732876816513666325906130324842889499688366916501849991788945381812681019864077914011273841253546103945931873525143953011712336011521413352029695857659841627517425845853460214762883869608793210189724828603430049128607590353201152704564632882603241242726055492027748468121880232255293278362256510645576469446119657950557303434692806174357297544872026916718227900517504774649034273386186647562230514062502273815918378397560334515109088426319349591661825910874507144277084796992014372439672283945353210908965772738142001893418388540185398557795655625638649757771386895539689087685610362419007588205820403212340581940251430004258846534988496325574619954658685021760587064330502509966130427451692409251157604313645228789443428458078846008766969254714147831176915581962688024333386069403133629826670936048866483858720700439469671286158096664531339071154576735038489609608314115124482555265507659504561622795913052803152558393852659536400362104809303413040588635306000330132257590398915043672705415326665517508208796120729833259626524561954680209621976473713591546633520826823588141078651985483842038281753955870062244338183394981850731635193463945599027466057528087620171891810876839966003749335113323800425227954782637444678297888400375690518493190312751535714401459932096203153751526617623419245608859406364203550801743458489876218909315030333569390086957343063403454234329652386236779108587596546824839441842307879810585422262161415275600313281675157203407295364841748167764844960978115833554717546660437669372281644973482340689665063656576373742907541705209749504480854071002234067463501633494932283692805522120664520142193894642771696803014207109461217032462325024583096290721535076901842685717849540109303189908381469245741529314924748342518538069343547537968916044135889149915393590907616428056960053682042691396228169465220896630712747338402655461369397886851232718828734655994388284377464408862619440866912680791151849745231807324883928214905536034485951394895860675882298490974789891408223296799858471897335402695172212760453147387002249546210535623138561261714020740402144978982560380090927340559712755891864247270003326931686586178485448272544967236030434576713940718386121531598567591982453067974510730669753931661952246296689621625008222371267629831676518238616779024686101850175431457298821001873554832239634051012218573364163426271555892703062933766758506119610600579714255135655976967047119955463650971889739160775318208572393158955593370824808034038934551227407674164358331667409016505130302900324471641879200404321766908406338457560984941468907331370366712581713349153766195380361123455142635097149527994975556206296804700040378084827803769154750278807397504265667613506092609669039976908617557741696025822139026223890442525110991293496544099980915729761853988552512698725442261291861862939680383957597516092703403691665033954079891090914682862844357251059703746337856658005652690976408725073689288368751967583301273830919640166615797636955865807812709491938205991
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 41 of the certificate chain of a 6,206-digit prime (621 intermediate primes).

Certified number6,206-digit prime
Certificatedownload
Certificate chainshow step 41 of 621

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813643398 --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":1100000004813643398},"decimal":true,"detail":2}}'