A number
where the
s
are distinct primes and
such that
(1)
|
for , 2, ...,
,
taken as 1, and with
and
some fixed integers. For example,
is a Zeisel
number with
since
(2)
|
as is
since
(3)
|
The first few Zeisel numbers are 105, 1419, 1729, 1885, 4505, ... (OEIS A051015), which correspond to constants (1, 2), (4, ), (1, 6), (2, 3), (3, 2), ....