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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 #1100000008715664414 2,766 digits created 2026-03-30

Value

643891708702651513986706637744134289608281120408562341624816827488009830553284806893998766139792590125378360054758768804913968437889186120602227432800815422369262931825725596716431131175444804607746797726169296090465329593727768508941785102489726848169816555976636449241974625434682995139857408884387660938265586928745188808756527979026435049795572951326353305315296934869492806934655294398472108958841822881830345948389432607412545487512467522836415842637760394344585026973468706844406988252983694056886089591867412636993558130370116868996641115529411569911832138642764314176263139215170007973848591889531672392373666372430337540713528572635017552466693492222342641324629122496908824076174113122987490726346815095486334680322711224324903279245580768729125310272923515486311203132968920338270042431744329129960412232485177408490646980360695089864349053402588466608103485714654708372394437269644451370933722431216550689861542251014716636253370242324822802888438385721134729716911710943493597860925891822140863935251994470256245447364787611535222323796167812506659874067036799706526758325396676452284576720287017554343198531451287540297458697682633623017589426370139195119311322844146074790014106535748464454310980698913387517919956924155567335346750137078656084156776549830173026865279821285008814883985921647584035192521164540535524472974003719433694519410375755231945843079500628615918738317666231751785893554112971474345604061736047538021043302159317692017170618161992579728652137190333147203775197164529661583817187746061609698809829863528152972086645218288013430501554082909085324546398689447617581153309067185991745764822745581083656277528148686977659996005167514154128648808197020111357202566274909777146613630967890874931518363640313565605073385310946314224162214764967236329944256767419594213079317481661347875284138818518688584453723650045259831700848601384563815381563091006835685187887694245785225712562377149538984570295011385851524491514354093062813451899505342942123955343830755335977150222846737563227604726002026972081979383254970421651166150763193518236104493118136946364750162398912818749813422857610686046199904548609710625377998460438351576297907005493992693212339971798282849147065227975618544370877469714045976652625002399456212207810546354147885487900503271862042950921116936783792110147968596292131899001575886157980798659517666547339685580889547800898001280440408145196307735705706963478440766098347510271172949211804708550253786048407724934980238489913822947995416603605253819397928592730505153011112960331355956123670651295543274922778087066213773943437621013126230608882580492083543205736333540796108484210610705080513463846096319825769343389445918055550172145197981702151919862577805520891223594143273676540413985337790742681126356151137
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 73 of the certificate chain of a 3,858-digit prime (245 intermediate primes).

Certified number3,858-digit prime
Certificatedownload
Certificate chainshow step 73 of 245

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000008715664414 --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":1100000008715664414},"decimal":true,"detail":2}}'