Taniguchi Constant

The value of Taniguchi's constant is 0.6782344. It can be derived as
C_Taniguchi = pi[1-3/p³+2/p⁴+1/p⁵-1/p⁶]
To get the closed form of Taniguchi's constant, expand the sum till infinity by taking the logarithm.
C_Taniguchi = exp[^∞Σ_n=3 c_n P (n) ].
Here P (n) is the prime zeta function and c_n is the rational numbers.

The value of Taniguchi's constant is 0.6782344. It can be derived as
C_Taniguchi = pi[1-3/p³+2/p⁴+1/p⁵-1/p⁶]
To get the closed form of Taniguchi's constant, expand the sum till infinity by taking the logarithm.
C_Taniguchi = exp[^∞Σ_n=3 c_n P (n) ].
Here P (n) is the prime zeta function and c_n is the rational numbers.