XMASMATH TWITTER PROBLEM 12-24-18

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From my Twitter account @dmarain  12-24-18

#MERRYANDHAPPY
x²=1: 2 integer solns
x²+y²=2: 4 solns
x²+y²+z²=3: 8 solns
(1) x²+y²+z²+w²=4 How many?
(2) Write eqn for 8 vars. How many solns?
Note: For @benjamin_leis use 2019 vars!😊
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