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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 #1100000004818346883 4,149 digits created 2023-10-24

Value

857648557298565299329847817546435961191747577319993989612706750185946370449209146656144665349510374034615628317521741267497266470455808725128106965739553883655947099032486418577371138765505592851490523792660652899891054006368964884761822247859064563396751277953576076467617181129056472835473434518296125258599263234516450963643490224265877804405033437694851639659421962831767856052656610188777443432583978442793649273439990298277469195254947612380768122596618760832443869241887509565229481373176324168469367486904952435850539693147371684774974471968332750675277725649266843585201855771578551000404110007299161267838904455109436990363761874342064283550436861334308700979198665433697619491638812881864303804898920316064206251609061985867962022844648304682989405369285032088372002327982267525731564403422039714050072596883277878278801550538932440909646855639119016978297457689657775872986231947398583110715190607980228423454706838746934409505188337780265120583458978163618834661245873317583771372038823277651540975503353526972947682004216309528227848891020724493232107320099138083912382861371844225557292612724892788589445306112692817303536003508552685998545236225275702056653646094179338117000285162570267142424966665079480274803959950471351113529356456409578362268851020780280346099820919162397949375134590459914999512707408337963442538570378340240254840769357047385036997831006279431519715529322321908594493211002726417399681842042982888903072756759611769626248870493156508998167668025976454037213833900454002111729134408271646135530419366071730403366023617924497098948871427633810928659996094869449167315538605678430831406455855710601088420385149192033775902347285075553959477386673295779563158052527174193638220574077048999217789255599070155633479001541839886812757133287786429988437817151675903448568218284003762253947532274470933687598532312828295766166840892660005296854671292664211243454294314052976046084165418501755703101594280323119955294655773527851148339967481335371493093768846741139172584969714613210749263270086614458202295431424031812521134436318080187107297954471093248996782578426950381388815983771057321743761003203827196131829220275155962116760226688577926799838874299212370016172939366239077861579051180988774151836736356363898820780037031632595368424921035362967944053934158172960841476949151109528743043106081764354696490110738451941392074934605544053122099947660006921235434063461721993397414957929651522638729682279089832411261769759562470324974396954622154437760716350777973971600217317668199485289753943535720459122042123845723682297988827369370795462075524061915897915318217120364876816973441450562890725664930672207222458506586353090195872149409431196771871659576160966426624530996779220437573060453720922371677969392375111488322906279803376135093518992554193352811780388980070332289766231528360245266751777931362870490464612612440792999225873282658543900625172710100040161363032816797837682035654673619621059703237683311324145547367563267131200851201989646155874175543946586741986450378361887465833494885468192272041754954941452332797288934518581254232487586571883262304268328639087961167664497522265326924997995393583082531947731656704834071576684638632269830604861325383859878217735070158640785604638669185206445430479987602549108342073420394291806315233088148874175639874920829352162199145160264754471075864513924661623830432482149816771067589258957526998219232217670111192629050452184081953717258926541412279860828940675471165134727232149232526021815159797848827825393496159257143958429914589046645526911789818590080485227400589254854492038262587356845393178562913413316438278366364867777566165123059518931302153929722805139420667244875239963881901834591883715519725243028556712407737562500557226859685466558239086021053179338187567788483232928551305014010634682919779271765995519665306200645395716623431632757744104865244612841102477651239319562093192036293081205736932396781298107044462238602859641569619480298087959587412292422819834028027418045240217955060290766387317708199744747819595071162095448196645753529097815763881201285914389381787424128340806377433852714348479398540299691873018731396451783096426170271
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 87 of the certificate chain of a 5,103-digit prime (522 intermediate primes).

Certified number5,103-digit prime
Certificatedownload
Certificate chainshow step 87 of 522

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004818346883 --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":1100000004818346883},"decimal":true,"detail":2}}'