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arxiv: 1608.02317 · v3 · pith:MGV7TYHFnew · submitted 2016-08-08 · 🧮 math.NT

Anomalous Primes and the Elliptic Korselt Criterion

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keywords anomalouselliptickorseltprimestypenumbersproductalmost
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We explore the relationship between elliptic Korselt numbers of Type I, a class of pseudoprimes introduced by Silverman in [20], and anomalous primes. We generalize a result in [20] that gives sufficient conditions for an elliptic Korselt number of Type I to be a product of anomalous primes. Finally, we prove that almost all elliptic Korselt numbers of Type I of the form n=pq are a product of anomalous primes

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