Inspired by Muhammad Rasel Parvej

Let us assume two consecutive numbers n, n+1 .On adding these two numbers we get an odd number and definitely not $1024$ .Similarly if we assume three consecutive numbers ,the sum will be 3n + 3 which is not equal to $1024$ for any positive integer 'n'.So by continuing the same process we can see that the sum of two or more positive integers will never be equal to $1024$ .