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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 #1100000004817606205 4,675 digits created 2023-10-24

Value

1340467540447797957428071362108708606682543612032979500379836162615441162200184228021972125574507484196393105786210445314304156736201031511015238270638744621700527368460737951587257793723148563747651618439393437751515826631665437816503440865388274740392275467615939946598943752468970262781030189961215838662446247602705187397717603516859272235673891510023604113199473363188735582499721478463945140549914899298213594151255640731055222752282013733492832426919301326584321965303245418796285712708089132390129474813421285336333208925697247760854243960444997815410903789356393184571381220585683205563525190939301361288101003453483500316647058376307216089825692977074540927366850081759487456618029645122568919135281177997363298597786788975340066940698527850342873496055470297714646118287209462585952814776442719342924902956237701802078739981845422304776647318637764164400626167442504748118712628824647552351076111527758603652282362177401125107267129823615210711435052766840885725588547825626579864575739074699099656584529255845985036383845473522407043472120282667856121843254111874880588228613317061572481738511315231907122856843875194806207370425152550209534424323065663248814099002153185886586315883734833234730459337278835097212353675220371329459411056430009591158899063470631658985715471200560670144618050367477020229448497999685895416488376893891938796922062529784703498513803993041492995304705464839739718708430733963643747650153055361700860619820005758497848040735597332665498518646064905898249738641406637167952027124562886818388068644480540867782174824577667825483937690052437215587696512215064036544540613782826035387991044526793879614011942526449517934261573051062966752570461921519035056048604519772812725848566212889557529309007553891744701167827219209685751704550131867209136966574601463532841998061991865431135960917146665833335601590274772166719858549049107561899228962219585180723787624026466108820923369462126443829939980634314128627975253682330970929596102944560975461180077937457833294951000477251843101738839478915440145465628334870674868144293379954275808068464903849854658641683290669977096540361985796880608323513886134225021968422768362467928137969636439098032892547931565451091085778328606793608307219546629305257795303108522763483606034810041432773547763001792822828535274933576338742038384622424904491822693325266765370151305566420911172834299006338956926252894897871160813336574257913579898615591749112112125139445194146822952662875336140709624629090059953980295234172588067424004304346260740669714953091014864405439103749942982426606910162821040812344814292942050754387365499959595007785510719098425354628441635363735694750710254162432149808250773234712092893390203140495581594395706099913850248835716505116090829247589472689350609054463017705676000081391538602218770457334971255044464426994905934341097015772696651255339192336582485142491647023699113444843968687373259342216555489411601807779187468885749905116980149223797338690967236222361284175124182683504784847864212611578870228195454366661420688420046884426689165647287103490652186036017791867697831203023169145332202872668538212277697034839602384507722691959218239021353158751343557025171997642011485123340038039804825874021405451480521586209822502382097765887366253259708810240694017082439416677348478042991614720308672028245862740982407196058450762394272719655318802735512146173553368868601416989672045058709582094160464507206455528168793713354360567166946958800782097671586200441999661798428808225313544717213643749057049223697929568553773912025032618082609334303853664014552850723621495951493199872788650538657051370671302109743563075487269918638620887780772763369492523981714664841851372795963784460628000774538207340430305024234245886133442624051414102106839049670163670246118142672113128994051142744020245835930900677046753212141750372265995837973035813832852993601024121249188193264493615287778286082653279830608047721576465337327721672438678289234980484546232269518210551940005629849302636498318144331020460467036899052908727304041609797606854797454436690259418775291391445919992189763129936029110499740792444421690538642782809222048386446520297174297546760450554990132253238924328851558832581425165175283045507910323183605550720474580199118181391612946811242760731912590760318734723322559880581957146345691618294581877088958730497815225343098291669845661063638838812950173699433354910489300422678041704456912107638489154446493074750691852131229915120794362306545520039805282994389660009235137990452767612870379492092903930641748440723930736094056488547796811067215520780228254764874231034276641025272601707422634833570774493932037201870034777615762223166934872236529443817477084135589
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 63 of the certificate chain of a 5,184-digit prime (679 intermediate primes).

Certified number5,184-digit prime
Certificatedownload
Certificate chainshow step 63 of 679

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004817606205 --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":1100000004817606205},"decimal":true,"detail":2}}'