The Legendre conjecture states that for every integer n there is a prime number between n^2 and (n+1)^2. The generalized Legendre conjecture (GLC) is that there is a prime number between n^K and (n+1)^K; a further conjecture is that the smallest K possible is log(1151)/log(95).
Write a function that takes a value of K, which you can assume to be less than log(1151)/log(95), and determines the first value of n for which the GLC fails as well as the interval [n^K (n+1)^K].
Solve

Solution Stats

114 Solutions

31 Solvers

Last Solution submitted on Dec 02, 2025

Last 200 Solutions

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers31

Tùng Lý Minh Lượng-UET Ha Le

Suggested Problems

More from this Author322

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!