factordbrpc · fdb
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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 #1100000004912231623 1,659 digits created 2023-10-25

Value

662827598161831580959471206825724079308155886600713874229543533695266335772315798001282295835927319276632575704475424751687889852349130607987340997003755468230250011100408803744468850684672965933675619656515587312888136698800837968539013920315426817732775283960391424392713898952661529749521609271137322787869939934022944408286067437708205544249515783402621264786321030189169710829868198188172278261937863813718867237372278367443307731270490767223510683160000687956893671608668617608691346814802497179259775533568020112799506543082040808593219090169359900874003714318547340091878986085228189509506778281171095945980857388054412708207836944044358282595183015907230791847614001203945617244526083437417686443160727373257776041029581550734687870983396556741161371015700869012595040861486231495226735061070951565635626842016787659784166116324923791804584935612355470105429947043587587609999279224275469857928441735295561159010556271725795038681948216717839632914378970703871644755243702474618774587103802966321079984975287149485849255829505324494053577184031306492568375520523701599229915954254456840663385821190173438235089999155469382752188342693743032341059458877306313569306811842220500124446240331487320509526749311867853108386191716894475831256150493485067936209557080016558606410320592718760126083861952686772577706943052574678782352379603689123172032646680704602519106420867308177571704555879596070756684849987086565982102420145944028904449332327136498922384153832864087934289841637071391749832431528193727401362460361609520954855140500025726199428145490366086595148596253835014341161844722250626660631387878115993957950321637377675107332217709678715870857
Is factor of

Primality

Certificate chain stepproven prime

Proven as step 37 of the certificate chain of a 2,003-digit prime (219 intermediate primes).

Certified number2,003-digit prime
Certificatedownload
Certificate chainshow step 37 of 219

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004912231623 --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":1100000004912231623},"decimal":true,"detail":2}}'