Lewis and Clark College (Problem of the week)

Algebra Level 3

In 2002, Crandall, Mayer, and Papadopoulos proved that the 24th Fermat number is

F 24 = 2 2 24 + 1 F_{24} = 2^{2{^{24}}} + 1

Find the four rightmost digits of F 24 F_{24}

7337 7400 7500 7537 7573

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