The Buenos Aires constant is the real number defined by the series
 |
where 
is the 
th
prime number and the empty
product for 
equals 1. Its value is 2.920050977316... (OEIS A249270),
and it is irrational (Fridman et al. 2019,
Varona 2021).
 |
with 
,
satisfies 
for every positive integer 
, where 
is the floor function
(Fridman et al. 2019). Thus it recovers all primes
in increasing order. The prime numbers are already
encoded in the value of 
through its defining series.
