Answer:
46
Step-by-step explanation:
The smallest value of n (found by trial and error) is 13. The next larger value is 4·5 = 20 more than that, 33.
The sum of these values is 13 +33 = 46.
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Actually, we looked for solutions to ...
n = 4k +1 = 5m +3
4k -5m = 2 . . . . . . subtract 5m+1
We found the smallest solution to be k=3, m=2 giving 12 -10 = 2. Then further solutions are of the form ...
k = 5p+3, m = 4p+2 . . . . . for any integer p
The corresponding values of n are ...
n = 4(5p+3)+1 = 20p+13
The two smallest values correspond to p=0 and p=1, so are 13, 33.
