Happy 5 2 0 1!

Last year,  in Happy 0 0 1 0 0 1 0 0 0 0 1!, I discussed an interesting way to represent numbers based on their prime factorization.  For example, 63 is represented by 0 2 0 1 because 63 = 20 x 32 x 50 x 71.

In the prime power representation, 2015 was 0 0 1 0 0 1 0 0 0 0 1. However, with 2016 = 25 x 32 x 50 x 71, this year can be represented by the more concise  5 2 0 1.

I doubt you can express next year’s greeting in a single breath.  Because 2017 is the 306th prime, it will take the form “Happy 0 0 0  …  0 0 0 1!“, where the one is preceded by 305 zeros.

 

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