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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 #1100000008680838612 2,442 digits created 2026-03-12

Value

680773648442833571280483343617429482188046111143043590707539527795330780618546131968875907637964021900897155371824771479707196031596560980295955426296152000091131425932155953947794436792162007214530520595612981068833921313239128424303589688024167415280788412506314176529876993691751125747764192376650067561416159537190824509416616973381351923260780740342693807787411750720695036910130956231093917179847962552892338748421729725144477370909749638682584734419458036657439814055099098508753727670962498825611906535061191094563301413267035199278950281514961521941211739316650248424598623745664554438157511491388268810938207716650109825424348602221247674647153295444235375728335018707563418302857308850096442513970669799622694575780941865463194604896695327071467323663652085159147251087938101502140887627599757133168142575401100120989041120497268020120897655623516187057393132178294989454262686676903146011285391559883153024549246012096807823120334199496007036287241244599847521256743202984561684356623054888662381701793680138922857266989348959230070671144304605953803329494765528528383041456228775775910028014168709217587775646855806900707136770958839537728777167331081154239760257073791273890122983061132505740244233076930454611728339643270550912666841923427841754399628842078578907088712028316470440174799083523281022970738909469601727730737175101301901351828495521840605791680457496343651196671889393083467376595354444389950227053192017313098076308951816293707583456570141678001319856323423748399662903492009635286124657295614861721362963737430289341144982527147894495396316729700787549085604025117543684305121571624040712696301312289530516298938977196170717029532535450893315468679049471450858101026225193034392958753760400057474934192106044664402101411495856813667053915390867680737999665730076606299709767600887934401784632318235860554110815116808905986085304396515238706205149745057884624480448835610138024666602271434142045604022140142321153743560033139613244970795220260254309014480877751252019089837989866313363862863611422690837382268836298727583196626365087420264508046019900202281521113550387998099015107392868992350771307214848273943483859514175916228351445181744841033586087668981290210794341644005411501346980356851152429308996362140574239545646240717684976079815997118193176443338439096976555607225803379165347753980920875296779670022877175195910402715026278827112983445209123794992909769089096385581329311487453997235032753796833
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 11 of the certificate chain of a 2,589-digit prime (161 intermediate primes).

Certified number2,589-digit prime
Certificatedownload
Certificate chainshow step 11 of 161

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008680838612 --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":1100000008680838612},"decimal":true,"detail":2}}'