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
No comments:
Post a Comment