Neglecting the trivial solutions(0 and 1),
the first 50 digits of
our numbers in several digit-systems (base 2 to 36) are
listed in the following table.
When writing a number in base *p* in the table,
the digits used can range from 0 to *p*-1.
If *p*>10, then the digit ```a`'' stands for 10,
``*b*'' for 11, etc.
There is no non-trivial solution in some base.
Although it is conjectured that the number of non-trivial solution
would be 2 when they exist, the conjecture breaks down at *p*=30.
Here has arisen another conjecture in which
there is no non-trivial solution in particular base *p* such that
the sort of the divisor of *p* is only one. Though this conjecture
seems to be correct according to the case ( ) listed,
it does not have the proof yet.

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