BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Daniel Baczkowski (University of Findlay) DTSTART:20260718T123000Z DTEND:20260718T125500Z DTSTAMP:20260805T044330Z UID:CANT2026/77 DESCRIPTION:Title: Building off the Ideas of Erdós\, Sierpiński\, Riesel\, and More\n by Daniel Baczkowski (University of Findlay) as part of Combinatorial and additive number theory seminar (CANT 2026)\n\nLecture held in Science Cent er in the CUNY Graduate Center (4th floor).\n\nAbstract\nIn 1950\, Erdós proved there are infinitely many odd integers that are not of the form $2^ k + p$\, where $p$ is a prime. \nIn 1956\, using similar methods\, Riesel proved there are infinitely many odd integers $k$ such that $k\\cdot 2^n - 1$ is composite for all positive integers $n$. Then\, in 1960\, Sierpińs ki proved that there are infinitely many odd integers $\\ell$ such that $\ \ell\\cdot 2^n + 1$ is composite for all positive integers $n$. \nWe will discuss various other related results such as how some classical sequences like Fibonacci\, triangular\, and more intersect the set of all possible Riesel and/or Sierpiński numbers.\n LOCATION:https://researchseminars.org/talk/CANT2026/77/ END:VEVENT END:VCALENDAR