Problem 46111. Evaluate the prime zeta function

• Created by ChrisR

×

Like (1)

Difficulty:

(1854)

Rate

• Solve Later   
• Add To GroupÂ

In its original definition, the zeta function , which is important in number theory, is the sum of the reciprocals of the positive integers raised to the power s. The prime zeta function is the sum of the reciprocals of the primes raised to the power s.

Evaluate the prime zeta function for the specified values of s, which are positive and greater than one.

Solve

Solution Stats

34.09% Correct | 65.91% Incorrect

• 44 Solutions
• 15 Solvers

Last Solution submitted on Sep 08, 2024

Last 200 Solutions

Solution Comments

ANNOUNCEMENT ×

Registration Now Open for MathWorks AUTOMOTIVE CONFERENCE 2025

Hello Community, We're excited to announce that registration is now open for the...

Problem Recent Solvers15

Suggested Problems

• Remove the polynomials that have positive real elements of their roots.

  1705 Solvers

• Square Digits Number Chain Terminal Value (Inspired by Project Euler Problem 92)

  232 Solvers

• Find out the Gray Code for a Given Binary Number

  106 Solvers

• geometric progression

  117 Solvers

• Form a square matrix from four square sub-matrices

  106 Solvers

More from this Author293

• Find the nine-point circle of a triangle

  3 Solvers

• Compute the Tetris sequence

  5 Solvers

• Remove the diagonal of a square matrix

  13 Solvers

• Compute a sum involving the zeta function

  4 Solvers

• Determine digits of the Copeland-Erdos constant

  19 Solvers