+40 What is the maximum number of natural numbers, so that sum of every possible pair is a:
1. Prime number
2. Square number
e.g: all the pairs possible pairs you can with the numbers 1, 24, 120 are (1,24), (1,120) and (24,120). 1+24=25, 1+120=121, 24+120=144. And 25, 121 and 144 are all squares of integers.
