Problems for the week
Problem 1.
Pooh bear has 
honey pots. No matter which one of them he sets aside, he can split the remaining 
pots into two sets of the same total weight, each consisting of 
pots. Must all pots weigh the same?
Problem 4.
A natural number is perfect if it is the sum of its proper divisors. Prove that two consecutive number cannot both be perfect.
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