assuming the sides are a and b
b = a+1 from B
from F, a(a+1) > 64 and a(a+1) < 100, which gives the values of a as 8 or 9
if a = 8, b = 9, a+b = 17
if a = 9, b = 10, ,a+b = 19
both satisfy contraints C
if a = 8 b = 9, perimeter is 34 which is 37-3 and 33+1, howeve 33 is not a prime
so the answer is a = 9, and b = 10
the perimeter is 38 which is 37+1 and 41 - 3, both 37 and 41 are primes (contraint D)