This is a question about the distribution of prime numbers along the natural number line.
Dear David,
n=2 is the right answer of your question.
the two primes are 5 and 7 between 22 and 32 .
Otherwise you need to restate your question.
The Conjecture is: for every integer n > 1, there are at least one prime between n2 and (n+1)2 .
Best regards
Dear David,
The link shows different argument.
Also, the conjecture is still unproven yet.
I think you want to ask:
What is the maximum known integer n for which the conjecture is true?
Regards
Conjecture: For any positive integer, n ≥ 2, there are at least two prime numbers between n^2 and (n+1)^2.
https://www.quora.com/Can-we-disprove-that-for-any-positive-integer-n-there-are-at-least-two-prime-numbers-between-n-2-and-n-1-2/answer/David-Cole-146
Dear colleagues!
What's wrong with answer n=1? 2 and 3 are prime numbers too ...
Therefore, why not considering the following conjecture: "For any natural n (i.e. n є N), there are at least two prime numbers between n^2 and (n+1)^2".
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