1. Prove or disprove: a gcd(km, kn) = k gcd(m, n); b lcm(km, kn) = k lcm(m, n). 2. Does every… 1 answer below »

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1. Prove or disprove:

a gcd(km, kn) = k gcd(m, n);

b lcm(km, kn) = k lcm(m, n).

2. Does every prime occur as a factor of some Euclid number en?

3. What is the sum of the reciprocals of the first n Euclid numbers?