The pairs of expression
(
)
have interesting
characteristics.
By (7) and (11), we see
the digits in
(thus coefficients of
)
are placed in reverse order of
's
.
Since (14) gives us the ratio
of
to
, we can state
For example, in base the equation (14)
corresponds to
and
Now I give you a conjecture
Don't you think it's intriguing there are only two integers 9801 and 8712 which satisfy conjecture 1?