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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 #1100000004871912275 2,459 digits created 2023-10-25

Value

77671140182688295426264475834187164645308275908442607150568900343693802999905133973288014517591080546300953175980686613901545493421579206135953962433917725248640057059947191156727192924309472614279460600338212173504419218727480499887015230659925220600954566217897523913911689541860744670209195334022268445114567562827389194224440376088888321128737186525825480421525287602135194479686053523516966712661855977642854562163083346061453845314852359670286295422136617027443194875413844927720037324664885091131518119528120277609795252547268513821360512821309984037423623768465844959194612223419575413619269476086532462538148934126739038642239751835264625576000682394373299040716331189413012307438824490186339354337511381850585602285112572543340256751113588382548288768572481898696694395038366172747850157752711274415166379618391606698964443739364364871662282104486038934831869879311700944730109892433286315297743615774239789666216906812597022859530285395384069347397325539553628548901254437042076936446167261827761717989678154007453425639587948239468513213104296162262189275413860841975306154249520392614194209917094597910663513879431599258069276873966793443416599392574295174347856500666992389536851519478892960548857999269422400056692366924488392601699595868154992382073974002629691411990910407962954881524242060524239965269000812851692347717359600600433009980325361788989665582284387102778864607850233227587614343778119729193569777387692783421610644937534942068928903113359832390631061069743397468321433043289922938060284643527172689278454971875587267462584855735721355576204816631846987014534806846231869609551459723598490812261321977312295594091002944697865673952712508711713280057338049112543360047309088458127926544917137008927223833548182377480958154297799852734658003585354300384972774242144018126791275030202875235096220844951242385753092449555815242658524881303716718235746762523255456314691802931895133828591620334343069812564554943909769443293907656829264531664053491524311374611611354642889940220047591272746085554529071629053196155544253786550898226718558587791375635984594003248448340484062081268947685432577919079508479055747086502914874935856265088995158128619673337228683894710640897545375637781726967587268015390209463071835148405124807919953292319923627712847802102069386305252960164461349842486503113703064759825091500256564974663421764706260115566849679818224836887921574213466124053012658740921132165091411850175134624190939425938712516182187
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 15 of the certificate chain of a 2,588-digit prime (350 intermediate primes).

Certified number2,588-digit prime
Certificatedownload
Certificate chainshow step 15 of 350

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004871912275 --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":1100000004871912275},"decimal":true,"detail":2}}'