conjecture: if p is prime, the no. of rings of order p^2 is 11

[Neil Fernandez]

In message <L4O$ELA$QIAIFwYJ at borve.org>, Neil Fernandez
<primeness at borve.org> writes

>Let a(n) be the number of rings of order p^2, where p is the nth prime.
>
>These are the 4th, 9th, 25th, 49th, etc. terms of A027623.
>
>The sequence begins: 11,11,11,11
>
>And continues?


The (p^2)th terms of A037289 (no. of order-n commutative rings)
are: 9, 9, 9,

and the (p^2)th terms of A037291 (no. of order-n rings containing 1),
are: 4, 4, 4 ,4

Neil
-- 
Neil Fernandez