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Difference between revisions of "Saouter number"

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Revision as of 12:39, 14 August 2019

A Saouter number is a type of Generalized Fermat number. Numbers of this type have the form

[math]\displaystyle{ 4^{3^n}+2^{3^n}+1 }[/math]

In the notation of John Cosgrave, the Saouter numbers are generated by the sequence [math]\displaystyle{ F_{n,2} }[/math]. Due to this, these numbers share similar properties to those held by Fermat numbers. These numbers were named by Tony Reix after Yannick Saouter, who studied these numbers.

External links

References

  • Yannick Saouter. A Fermat-Like Sequence and Primes of the Form 2h.3n + 1. [Research Report] RR-2728, INRIA. 1995. inria-00073966