On the largest prime factor of x2-1

نویسندگان

  • Florian Luca
  • Filip Najman
چکیده

In this paper, we find all integers x such that x − 1 has only prime factors smaller than 100. This gives some interesting numerical corollaries. For example, for any positive integer n we can find the largest positive integer x such that all prime factors of each of x, x + 1, . . . , x+ n are less than 100.

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عنوان ژورنال:
  • Math. Comput.

دوره 80  شماره 

صفحات  -

تاریخ انتشار 2011