The Gelfond-Schneider constant is sometimes known as the Hilbert number.
Flannery and Flannery (2000, p. 35) define a Hilbert number as a positive integer of the form 
(i.e., a positive integer 
such that 
). The first few are then 1, 5, 9, 13, 17, 21, 25,
... (OEIS A016813). A Hilbert number 
that is not divisible by a smaller Hilbert number (other than
1) is then called a Hilbert prime (or S-prime; Apostol 1976, p. 101); otherwise,
is called a Hilbert composite. The first
few Hilbert primes are 5, 9, 13, 17, 21, 29, 33, 37, 41, 49, ... (OEIS A057948),
and the first few Hilbert composites are 25, 45, 65, 81, 85, ... (OEIS A054520).
Factorization with respect to Hilbert primes is not necessarily unique, as illustrated by the example
 |
The first few such examples are 441, 693, 1089, 1197, 1449, ... (OEIS A057949).
