Erdős proved that there exist at least one prime of the form 
and at least one prime of the form 
between 
and 
for all 
.
Choquet Theory
See also
Bertrand's Postulate, Equinumerous, Fermat's 4n+1 Theorem, Prime NumberReferences
Erdős, P. "A Theorem of Sylvester and Schur." J. London Math. Soc. 9, 282-288, 1934.Referenced on Wolfram|Alpha
Choquet TheoryCite this as:
Weisstein, Eric W. "Choquet Theory." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ChoquetTheory.html