for prime p>= 5
p = (6n+/-1)
p^2 + 2 = 36n^2+1 +/- 12n +2 = 36n^2+3 +/- 12n
divisible by 3 and p^2+2 >= 27 so 2nd factor >=9 so not a prime or composite
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If factors include 1 and the number itself then the any number (n) with only 4 factors has to be the product of two prime numbers, p1 and p2. The factors are then n, p1, p2, and 1. The largest 3-digit number with only 4 factors is 998. The factors are 998, 499, 2 and 1
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p2+2pq+q2=1
MRS = |-p1/p2|
Even