Strong Pseudoprimes to Twelve Prime Bases

نویسندگان

  • Jonathan P. Sorenson
  • Jonathan Webster
چکیده

Let ψm be the smallest strong pseudoprime to the first m prime bases. This value is known for 1 ≤ m ≤ 11. We extend this by finding ψ12 and ψ13. We also present an algorithm to find all integers n ≤ B that are strong pseudoprimes to the first m prime bases; with a reasonable heuristic assumption we can show that it takes at most B2/3+o(1) time.

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عنوان ژورنال:
  • Math. Comput.

دوره 86  شماره 

صفحات  -

تاریخ انتشار 2017