Solve the Problem $2 ^ { 2 ^ { n } } + 1$

question 113

Essay

Solve the problem.
-Fermat conjectured that the formula $2 ^ { 2 ^ { n } } + 1$ would always produce a prime for any whole number $\mathrm { n }$ . The sixth Fermat number is $2 ^ { 2 ^ { 5 } } + 1$ . Evaluate this number. In seeking possible prime factors of this Fermat number, what is the largest potential prime factor that one would have to try?

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Arbitrator

A neutral third party selected to resolve a dispute between two or more parties in a binding manner outside of court.

Labour Disputes

Conflicts between employers and employees, typically over matters such as wages, working conditions, and union representation.

Mediator

A third party in an employment dispute who meets with one party and then the other to suggest compromise solutions or to recommend concessions from each side that will lead to an agreement.

Collective Agreements

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