Maybe I'm a bit late to the party here, probably because I'm an Engineer 
rather than a Mathematician, but this seemed a pretty crazy "proof" of 
what you get if you sum all the natural numbers up:

  s= 1+2+3+4+5+6+...

4s= 4+8+12+16+...

(s-4s) = 1+2+3+4+5+ 6+...
           -4  -8  -12-...
-3s    = 1-2+3-4+5-6+...

-3s-3s = 1-2+3-4+5-6+...
           +1-2+3-4+5-6+...
-6s    = 1-1+1-1+1-1+1-...

1-(-6s)= 1-(1-1+1-1+1-1+1-...)
        = 1-1+1-1+1-1+1-...
        = -6s
1+6s   = -6s
12s    = -1

    s   = -1/12

Crazy huh?

https://en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E2%8B%AF

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