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Old 2020-08-17, 18:50   #5
ATH
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Dec 2003
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It is not really feasible since Fermat numbers get so incredibly big very fast, much faster than Mersenne numbers.

The smallest Fermat number with status unknown is F33 = 22^33 + 1 = 28589934592 + 1

This is ~82 times as many digits (NOT 82 times larger) as the current wave front of GIMPS. No computer or GPU can finish this within many years, and that is just the first unknown number. The next one F34 has twice as many digits as F33 and so on for each number.
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