No there is no point in secp256k1 where x==y
How do you know that? Is there any simple way to check, if for a given p-value, there is such point or not?
but there is one where x==y+1
Nice result! But how it was calculated?
This is wrong. You think x==y as pointy on curve.
Because it should be a point on curve, exactly as specified in the first post:
n= 5744, x= 2318, y= 2318, y^2=12073
n= 8470, x=11203, y=11203, y^2= 7960
n=13652, x= 551, y= 551, y^2= 8110
Now I only wonder, what algorithm is needed to get there?