# Euler-Mascheroni Constant

The Euler-Mascheroni constant is the mathematical constant defined as the limit of the difference between the *n*th partial sum of the harmonic series and the natural logarithm of *n* which has value of approximately 0.577.

Euler-mascheroni constant is a college-level concept that would be first encountered in a number theory course.

### Prerequisites

Natural Logarithm: | The natural logarithm is the logarithm having base e. |

Number Theory: | A field of mathematics sometimes called "higher arithmetic" consisting of the study of the properties of integers. Primes and prime factorization are especially important concepts in number theory. |

Prime Number Theorem: | The prime number theorem is a theorem in number theory that specifies the asymptotic frequency of prime numbers. |