TOPICS
Search

Selfridge's Conjecture

There exist infinitely many n>0 with p_n^2>p_(n-i)p_(n+i) for all i<n, where p_n is the nth prime. Also, there exist infinitely many n>0 such that 2p_n<p_(n-i)+p_(n+i) for all i<n.

Explore with Wolfram|Alpha

Cite this as:

Weisstein, Eric W. "Selfridge's Conjecture." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SelfridgesConjecture.html

Subject classifications