50 POINTS AND BRAINLIEST Please answer only if you are sure and write good explanation I really need it!

p, q, r - prime numbers
p p+q=r and (r-p)(q-p)-27p is perfect square

p=?
q=?
r=?

I need exact numbers. Please don't try with photomath and send me whatever it shows. I need real solution and explanation and if they are good I will give you even more points, just solve it please!

ιт ωαѕ 5¢м вє¢αυѕє 1/4 σf 20 ιѕ 5

αи∂ 5*4=20

нσρє ι ¢συℓ∂ нєℓρ уσυ

secant-secant formula:

(whole secant) x (external part) =           (whole secant) x (external part)

(8+y-2) *8=                                           (y+4+6) *6

(y+6)*8 = (y+10) *6

distribute

8y+48 = 6y +60

subtract 6y from each side

2y +48 = 60

subtract 48 from each side

2y = 12

divide by 2

y = 6

sv =     (y+4+6)

sv   = 6+4+6

sv = 16