Brocard's conjecture states that
 |
for 
,
where 
is the prime counting function and 
is the 
th prime. For 
, 2, ..., the first few values are 2, 5, 6, 15, 9, 22, 11,
27, 47, 16, ... (OEIS A050216).
Brocard's Conjecture
See also
Andrica's Conjecture, Cramér ConjectureExplore with Wolfram|Alpha
References
Sloane, N. J. A. Sequence A050216 in "The On-Line Encyclopedia of Integer Sequences."Referenced on Wolfram|Alpha
Brocard's ConjectureCite this as:
Weisstein, Eric W. "Brocard's Conjecture." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BrocardsConjecture.html