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The IthFermat command returns the value of the ith Fermat number:
Fermat numbers are of the form :
There are five known prime Fermat numbers:
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More details on Fermat numbers can be found using the output option:
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To get more information about a given Fermat number, use the list form of the output option.
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Most Fermat numbers are composite. A full record of information can be returned using record as the output option:
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| (6) |
Check a known factor of F_49093. (Use expand to undo the factorization of the factor.)
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Data frames are useful for capturing information about Fermat numbers:
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| (12) |
| (13) |
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| (14) |