Quick fix of my typos:

Day 64:    R1 * 2^64 ≡ 0 (mod 2^63)        2^64 is a multiple of 2^63 so the 
remainder MUST be 0
           OR
           R1 * 2^(63 + 1) ≡ 0 (mod 2^63)  2^64 is NOT less than 2^63 and 
therefore a multiple 2^63 so the remainder STILL MUST be 0.

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