Number Theory

   

The Smarandache-Korselt Criterion, a Variant of Korselt’s Criterion

Authors: Marius Coman

Combining two of my favourite objects of study, the Fermat pseudoprimes and the Smarandache function, I was able to formulate a criterion, inspired by Korselt’s criterion for Carmichael numbers and by Smarandache function, which seems to be necessary (though not sufficient as the Korselt’s criterion for absolute Fermat pseudoprimes) for a composite number (without a set of probably definable exceptions) to be a Fermat pseudoprime to base two.

Comments: 2 Pages.

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Submission history

[v1] 2014-02-10 07:00:37

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