do there exist 1 000 000 positive integers such that the sum of any collection of these integers is never a perfect square.
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1 Answers
Lokesh Verma
·2009-12-13 07:40:36
yes...
because chose the integers reccursively
This can be done because the difference of perfect squares keeps increasing with integers.. so you can chose the next number just after a sufficiently large perect squares.. ...