For more information about this meeting, contact Robert Vaughan, Mihran Papikian, Ae Ja Yee, Kirsten Eisentraeger.

Title: | The most popular values of the largest prime divisor function |

Seminar: | Algebra and Number Theory Seminar |

Speaker: | Nathan McNew, Towson University |

Abstract: |

Consider the largest prime factor of each of the integers in the interval [2,x] and let q(x) denote the prime number which shows up most frequently in this list, the mode of the largest prime factors of the integers in [2,x]. In addition to using estimates of smooth numbers to investigate the behavior of this function as x tends to infinity, we look at the range of q(x) and see that it misses most of the primes. We conjecture that the set of these "popular primes" is related to other interesting subsets of the prime numbers. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 04 / 14 / 2016 |

Time: | 11:15am - 12:05pm |