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Sunday, October 15, 2017

Sum two squares and 5

Used my BQD Iterator to highlight the basic result that EVERY power of 10 can be written as sum of two squares, where noticed the squares were even, after the first one where had to use the trivial result that 1 is a square. Well got to wondering--what if divide those powers of 2 off? Here is the result:

42 + 32 = 52

132 + 92 = 2(53)

72 + 242 = 54

792 + 32 = 2(55)

442 + 1172 = 56

3072 + 2492 = 2(57)

Here's the full original list for two squares to powers of 10:

12 + 32 = 10

82 + 62 = 102

262 + 182 = 103

282 + 962 = 104

3162 + 122 = 105

3522 + 9362 = 106

24562 + 19922 = 107

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