The integer 30 can be written as a sum of consecutive positive integers in three ways:
30 = 9+10+11 = 6+7+8+9 = 4+5+6+7+8.
Find the smallest positive integer which can be written as a sum of consecutive positive integers in 12 ways.
I found sets of 2, 3, 5, 6, 7, 9, 10, 14, 15 so far.
Are the sets supposed to be consecutive (sets of 2, 3, 4, 5, 6, 7, 8.....), or are there going to be breaks between the sets (like I have found so far)?
If there are breaks, what are the first 12 sets of consecutive numbers? Could there be more than 12 for 945?
sets of consecutives....
