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For any nonnegative integer n {\displaystyle n} , the n t h {\displaystyle n^{th}} Fermat number, denoted F n {\displaystyle F_{n}} , is defined as:
F n = 2 2 n + 1 {\displaystyle F_{n}=2^{2^{n}}+1}
If F n {\displaystyle F_{n}} is prime, it is termed a Fermat prime.
