Question 1080516
I'll at least get you started.
Such a large number with a small span means the numbers are close to each other.
Dividing 2017 by 5 gives you 404.5. 
So start with numbers around there.
I used EXCEL typing numbers into 4 cells and calculating the last one (since the sum equals 2017). 
Then changed numbers around.
(401,402,403,404,407) gives you 6.
(401,402,403,405,406) gives you 5.
(399,403,404,405,406) gives you 7.
a) Play around to get another. 
b) I think its 5 but play around to see if you can find one lower.
c) It should be,
{{{1+2+3+4+5=15}}} with a span of 4.
All numbers would then increment by 1,
So the sums would increase by 5(1) or 5.
15,20,25,30,35,40,.... with a span of 4.