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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 #1100000004875248227 1,926 digits created 2023-10-25

Value

177859125247840940516906782613146604387105847045920590484210061309225040896306577640306430232359945077000189888571935570606749573334464645650013858035791139005401434586137025402296769521336135445989317980571117848017592428803283035787446493053707797186871978162455530446754839390095239477045998220823211349524737372105248677065097442348982489335130898219604129226968736497415260220842778443475005159404119827043434878247306532990233303727128024926564047316733756789330325762248036041160446957331002685964251423649731645396951211403426277615942014278559452788142191261486478629156896653199796494994366031103588587859545734794245750396668811406368847344126332969384093972626710601140986241777705233280893616300656458356664599969913190502910524454432331587151109729585078269619896902090527415162714680178300932830793229664905673120004441894549805926428734173444990482293065083094395594626906334531175953524918059571268067934896689746597855855868968701525825070486068795595064344365397811997197808578836414395250460790454991371821631922000540959569085697973326250834732076277900542290435710569158442349881104355884775517596248189149075536503432609455727750259849507400523313560399904306466121806630865375796580175697624001389751772237212404857121231184444178699793341775775101336565468833856687018665354175749956370743431635579263471213512467069465350442855196984124639663765665838720436731926590909209150410020751046910885328275098422016378339899418407162295082901520022609869150475421500502056227476473708557844303030552465861041589785493546284042643105877133961920821496652148437218272558071017963028108688164681662170563587501083514033781336384507090219410922930707872350102519060081726002476256038795103564043911676644425836834306916113562421866191682747993351319056162430429281334214720192438498987336135397794497516955630613244083519958489287079614104073808316840170443812463719985537966412328307193138380683056651420953077
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 61 of the certificate chain of a 2,498-digit prime (325 intermediate primes).

Certified number2,498-digit prime
Certificatedownload
Certificate chainshow step 61 of 325

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004875248227 --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":1100000004875248227},"decimal":true,"detail":2}}'