hey /sci/, I have a riddle for you


$1/7 = 0.\overline{142857}$

this pattern is pretty interesting, for instance

$142857^2 = 20408122449$
$142857 = 20408+122449$

unfortunately,

$142857142857^2 = 20408163265265306122449$

and you cannot split this into two numbers which sum to 142857142857, however...

$571428571428^2 = 326530612244244897959184$
$571428571428 = 326530612244+244897959184<br />$

can you create a number using three copies of the sequence {1,4,2,8,5,7} which has this property?