
> 
> **Question:** What is the least number that is a sum of three squares of primes in exactly six ways?
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... I know it is not research mathematics. Happy new year!


EDIT: Now that it is answered I should note that I learned this puzzle from a tweet by [Ed Southall](https://twitter.com/solvemymaths). I thought it is fun to share.



Sums of squares of primes
the answer is 2019


$$2019=a^2+b^2+c^2,\;\;\text{with}\;\;(a,b,c)\in\{(7,11,43),(7,17,41),(13,13,41),(11,23,37),(17,19,37),(23,23,31)\}.$$


I think this was first noticed by [Ed Southall](https://www.theguardian.com/science/2018/dec/31/can-you-solve-it-2019-in-numbers) 


