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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 #1100000007040761581 1,944 digits created 2024-05-07

Value

322610520420698222900014101787086147066778405164072445380989604238400507776236473641659204908282124709340931188220279798894488392235389997671164475165951828650343522603688421607432391339416473401616948083930329635012508689974357246634822741970668680593487698171831172908594054567780995358928023919291210219093218549103774526831978254815686670594541032918328384193801448454793930037330923794139565748514352616416470717921978121223125865004412204940890914539526879509189556341953519743211235665893141775656968914717318271670092208906485226610330637222897646491989858099127032040583068585398856430252602204935873144840213221053385319696402605914468843308035941943149619554231863279050690658628382688026046573986374033109384381675857153455032426443559421396944139270086094486443475964242989650140436567405170583255286211795019019942587598624687731074859941915796504059440114441179032344916057633272388460900712924635981341004990688391265499064692101188110166776598382642006624819962450914841279253627844058752563264609883007625366465133443480087134308258591775015057285553911871281337140860843663867725124072719761557467952056308095800529717361804723404332936455397050172536752720986811953516990146854876330116026618829704960354485326341851452387062771916407725116932994967397767271263326992189817351072451106004297649211198553210832730178339959030522649586140029112517395442775672150593465039119054500183871637115145396702110536977219638629775352986565523198997258699881465072611928806741608692951117802234220342378996656888431422416092587820074458432923679488947016727575595324717288340207767372290077711935462395261584662930714383933751293757184136704315707674293803204524948415605689263455639143118533775430754599348176388206447182543073064881985503322100752193827734105155510332045487708538316598153409378297961234168951571815535251353950326146367776441073616421208349109075644064069398105095802147286731230601085259775440266358940269418674771
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 94 of the certificate chain of a 3,155-digit prime (229 intermediate primes).

Certified number3,155-digit prime
Certificatedownload
Certificate chainshow step 94 of 229

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000007040761581 --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":1100000007040761581},"decimal":true,"detail":2}}'