Euclid, Pythagorus and Me: an Odd Couple

I wonder if anybody ever noticed that perfect squares (4,9,16,25,36...) are separated by sequential odd numbers (5,7,9,11)?
I was thinking how odd it was that 81 (9²) and 100 (10²) were separated by 17. Then I realized they weren't, but it didn't seem any less odd that they were separated by 19. I thought about other squares and I saw the pattern. I'm not sure what the significance of this is other than I have a lot of time by myself walking down the street. I hope you appreciate what you're getting for your 41 cents.