Profound or not, these kinds of (near) identities are a lot of fun to explore. Here are some great lists: http://mathworld.wolfram.com/AlmostInteger.html http:

Profound or not, these kinds of (near) identities are a lot of fun to explore. Here are some great lists: http://mathworld.wolfram.com/AlmostInteger.html http://mathworld.wolfram.com/AlmostInteger.html https://en.wikipedia.org/wiki/Mathematical_coincidence https://en.wikipedia.org/wiki/Mathematical_coincidence Some favourites: - 5 phi e / 7 pi = 1 (to 5dp) - pi^4 + pi^5 = e^6 (to 4dp) - e^pi - pi = 20 (to 3dp) Also, remember that many very profound discoveries come about from noticing fun little oddities.