An Apéry-constant prime is a prime number formed by the concatenation of the initial decimal
digits of Apéry's
constant 
, including the initial 1 and omitting the decimal point. It is a special case of a constant
prime.
The integer formed from the first 
digits is
 |
where 
is the floor function. The initial lengths giving
a prime number or probable
prime are 10, 55, 109, 141, ... (OEIS A119334).
The first two values are 1202056903, 1202056903159594285399738161511449990764986292340498881,
... (OEIS A119333).
No additional terms are reported through 
(OEIS A119334).
These decimal prefixes of Apéry's constant differ from Apéry number primes, which
are prime terms of the Apéry
number sequences 
and 
.
