Happy New Year 2019. I have not solved a problem here and I shall be starting shortly.Here I provide some interesting property of 2019.
2019 is the smallest number that can be expressed as sum of 3 squares of prime number in 6 different ways
2019 = $7^2+11^2+43^2$
= $7^2 + 17^2 + 41^2$
= $13^2+13^2 + 41^2$
= $11^2+23^2+37^2$
= $17^2 + 19^2 + 37^2$
= $23^2+23^2+31^2$
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