SOLVED: 1. Prove that there are 100 consecutive positive integers thatare not perfect cubes. Is your proof constructive ornonconstructive?2. Disprove the statement that every positive integer is the sumof at most two squares and a cube of non negative integers. ("Everypositive integer is the sum of at most two squares and a cubeof non negative integers" means 'Givenany positive integer n there exist non negative integers m, p, k such that n = m^2 p^2 k^3.' Question 2 asksyou to disprove th
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