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).
These decimal prefixes of Apéry's constant differ from Apéry number primes, which
are prime terms of the Apéry
number sequences 
and 
.
