No solution. The sum of an odd number of odd numbers is odd, and 52 is even.
Proof: is the odd number where , hence 5 arbitrary odd numbers can be represented as , , , , and . And their sum would be:
Which can be rearranged thus:
Which can clearly be seen is not evenly divisible by 2. Therefore the sum of any five odd integers is odd. The proof can easily be generalized to cover any odd number of odd numbers.
John
My calculator said it, I believe it, that settles it
