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[Jaap Spies]

Jonathan Post wrote:

> 
> Although it is not known if there always exists a prime 
> <http://mathworld.wolfram.com/PrimeNumber.html> p between n^2 and 
> (n+1)^2 , Chen (1975) has shown that a number P which is either a prime 
> <http://mathworld.wolfram.com/PrimeNumber.html> or semiprime 
> <http://mathworld.wolfram.com/Semiprime.html> does always satisfy this 
> inequality. Moreover, there is always a prime between n-n^theta and n 
> where theta==23/42 (Iwaniec and Pintz 1984; Hardy and Wright 1979, p. 
> 415). The smallest primes 
> <http://mathworld.wolfram.com/PrimeNumber.html> between n^2 and (n+1)^2 
> for n==1 , 2, ..., are 2, 5, 11, 17, 29, 37, 53, 67, 83, ... (Sloane's 
> A007491 <http://www.research.att.com/%7Enjas/sequences/A007491>).

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Jaap