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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 #1100000004813328006 5,609 digits created 2023-10-24

Value

10277524435344576792495482413293843220333928091075656665889461843246501891093974823059872422979228287328991048884602179087193314104233401603607637814055508143578883996447584977289553199271808304267739375708113199817824659066054662040192133118088390395104884678551026298866427393134958248580268479807042403304272914424523290662451046634245490692219618334069253578126632448234872150006931941469870195704130677571163794353441673129340914346432149630514982481364990759654650302546398205746867323724710497757076297423561913948423164603966454197844183007241308844552978533853760461950253988661587310852355613570970024252170790871376422925603579093362207103054572206687143777969475183090558114998695785366682150069656003704818536057058829505109679240890764943772099804769035996258571119227032981666744596687543337732021041049792617873508676129188845504969103251161024361444788397666854239016137253498985658975281659219134911191429104758574736102957492221616737943037305998760294103780003172152530796963315539044806146010811076818221627730839528574843840155545749900756421266914963499967664442346274034844469533072415770674592571365114566263329312980561967024901727589719564292325978210588444944629785115459159117234611756359790285286158002650220279764848528629003658790574165171121281309065686736033774350721623624891330571468680064918922368456215363552544583269239825923889843398362041698692749743485237793387464557106753663677536375954438759904162298658886276822185234719399438298809828225801226504961126183640301792791633162382801877087993727361646181417835023705368182361118005064014781325976838530824189885610958351946542048133621782273205064377692312056149166244912735532664004821989600403884909180007832636557898306771619267635830245683628226087522960975374351141324718125913944321729462555289470926757189977745665644386572085211524661147756976823718689682907117810831208070424537793518246543307709403689574863706209894575067055666387734232002624973624602053167021750977580288811575942733297815162140398007241562039595612344017688224232432064508089614012681943642089332166371194354352794628246149148340790936369836071842149836602021138202162108179904150890200449279452276675295749160389502939155189588855754384401482683998562170333001715862279149749836286723799191901802094773506393066665298994229712522017281669427013454065140429321090363178623441520934898566325930895361585993987817141639555755445191129262311236533659523257065810410213842592900558792106879057956795921002256574848563063958423644901457478436369364832733665979729025215705105105614948519987274895436137677988781634526094507002442370497055686637512228435499022568399338993639464878523112824608191938297449271163265053874523436769814551064070646183381177034787493960055047824166053791859699998909009547472481520810994822364860293995451252483440390314184387277188858132949411393744527858610200365739892799174147374934283180413581429757060293784751635858714313276632695627591704028853583179744041426754274697066760149730344054639453522670926688601583273651333185099896704399185820168110214706203305575882711556468686477237068015452501638974254466363108378981743486483943712313293120831760724008807650097464584506744540085864435988821193168149352478882455955464928891651797578379401187715295033184126441753401653222400327952792814501124518363866084691716992390753934991248120286364391439042293070853286587957969400568947370641451334969827444377893798246699404616485520573994949956648861121457276113386484762983334935282607330403479233412351587837530052475610755027618147463679862321368628761310097942872757916448825986585298756433200927331131866372099496925210645963421366247626247433691359943250189538666155945400021959578061748323955560497900170735709331918791477311545730325769776017459167208926157857523251776438094465515739390459967850712584594272842354616205329886987671108467753053531984830851265432184977337518411079470378668218502228082982918004205646462713267278777094032087165325285604881175509090576956516643459757258622687822889841169879471902307239789250252836517648171025245452383618583645718324432593812460603969655593825412306864968856929366540293754523492163918093993301252579657597874106464370313473954110790723849581255030986956312328843418035783790445703980186431491985364178269903210743957327826979988064540710740045881701271404944208526265114879652978121896165663385096934388683746403729451330974326686860760468468886007140077965512784294377764436028650226961874653169770176951407442117140744568466517062366402743643778619706686490075026195766367921816746997752218334903268853987705123820729436282316592631313999768416604553507309646498056813033011114413695008958499082669613162679819000198467423806620253537074098866283787073451554548433139004193631740132832168486979268243682029625395948075652802203320339678819569856444546917540670092317337686559594304148592974951175549099388562934515279027909123384320153904031557745607159972201061390061987743138406024518675202575604042755475640578186345414504972097767024143628719200790118103238924932980244021191514099297983958508371375046849944229831186613595841353863126971853717195574749350365018619562132176559014245367027182855263443270960543456646465995773775742838832609196467256506326820734340353223981005366363883698399772480554887557220086258030184610820120939068386467833840160851728030490611317424932789884387873079948824110323447817485536293121191405699098515939086287953904113082237789087011403787952751217461672088948155945902435767556461255846850836669367146399668368888152938818688072049921928390008852555840819636576854361784949422060196276824646230183614846665199
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 95 of the certificate chain of a 6,718-digit prime (625 intermediate primes).

Certified number6,718-digit prime
Certificatedownload
Certificate chainshow step 95 of 625

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004813328006 --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":1100000004813328006},"decimal":true,"detail":2}}'