[FFR4EVA_00]

i'm gonna go ahead and drop a gigantic hint for 354 since the upper bound is so insane i have no chance of programming it correctly:

2L^2/3 = 2*3^(any non-negative integer)*n^2*(6p+1)^4*(6q+1)^4*(6r+1)^2
n must only be a multiple of 2 and any primes of the form 6k-1
6p+1, 6q+1 and 6r+1 are distinct prime numbers; p, q and r are integers