Tweetable Mathematics
Four color theorem: any planar graph can be colored with 4 colors. Only proof by computer. SAD.
27⁵ + 84⁵ + 110⁵ + 133⁵ = 144⁵. Nice try, Euler. link
#Counterexamples
The sentence "The first positive integer that cannot be specified in a 140 character tweet" doesn't specify a well defined integer.