Choose an integer randomly from the set $\{1,2,3,\dots,99,100\}$. Square it, then subtract 1. What is the probability that the resulting value is a prime number?

Figured it out! It's 1/100. The sequence goes 0, 3, 8, 15, 24... every other term is either even or a multiple of 3. The only one that is prime is 3.

Guest is correct. He found the correct pattern. The answer is 1/100