1,3,5,7,9,11,13,15,17,19,21,12,25,27,29
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3 odd numbers can't be equal to 50 because: odd number + odd number = even number even number + odd number = odd number thus, adding 3 odd numbers will always give a sum which is an odd number too even number.
Yes. The square of an odd number is odd. So, if a, b and c are odd then a2, b2 and c2 are also all odd. But the sum of two odd numbers must be even. So for these to be Pythagorean, all three squares cannot be odd. Thus there are no odd triplets.
35
Alternating. 1 2 3 4 5 6 7 8 9 in row 3, (7,8,9) the 8 is even and the 7 and 9 are odd. thus odd,even,odd. in column 3, (3,6,9) the 6 is even and the 3 and 9 are odd, thus odd,even,odd. as the row/column selector (3) is odd the first digit in that row/column of a 3X3 grid will be odd as will the first. the numbers then alternate even odd even.
The only even prime is 2. The rest are all multiples of 2, and thus cannot be prime.