Vector flow

In number theory, Brocard's conjecture is a conjecture that there are at least four prime numbers between (p_n)² and (p_n+1)², for n > 1, where p_n is the n^th prime number. It is widely believed that this conjecture is true. However, it remains unproven as of January 2014.

n	$p_n$	$p_n^2$	Prime numbers	$\mathrm{\Delta }$
1	2	4	5, 7	2
2	3	9	11, 13, 17, 19, 23	5
3	5	25	29, 31, 37, 41, 43, 47	6
4	7	49	53, 59, 61, 67, 71…	15
5	11	121	127, 131, 137, 139, 149…	9
$\mathrm{\Delta }$ stands for $\pi (p_{n+1}^2)-\pi (p_n^2)$.

The number of primes between prime squares is 2, 5, 6, 15, 9, 22, 11, 27, ... Physiotherapist Rave from Cobden, has hobbies and interests which includes skateboarding, commercial property for sale developers in singapore and coin collecting. May be a travel freak and in recent years made a journey to Wet Tropics of Queensland..

Legendre's conjecture that there is a prime between consecutive integer squares directly implies that there are at least two primes between prime squares for p_n ≥ 3 since p_n+1 - p_n ≥ 2.

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