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SUMMARY:Daniel Baczkowski (University of Findlay\, Australia)
DTSTART:20260718T123000Z
DTEND:20260718T125500Z
DTSTAMP:20260710T111434Z
UID:CANT2026/77
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2026/77/
 ">Building off the ideas of Erdós\, Sierpiński\, Riesel\, and more</a>\n
 by Daniel Baczkowski (University of Findlay\, Australia) as part of Combin
 atorial and additive number theory seminar (CANT 2026)\n\nLecture held in 
 Science Center in the CUNY Graduate Center (4th floor).\n\nAbstract\nIn 19
 50\, Erd\\H{o}s 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 m
 ethods\, Riesel proved there are infinitely many odd integers $k$ such tha
 t $k\\cdot 2^n - 1$ is composite for all positive integers~$n$. Then\, in 
 1960\, Sierpi\\'{n}ski proved that there are infinitely many odd integers 
 $\\ell$ such that $\\ell\\cdot 2^n + 1$ is composite for all positive inte
 gers $n$. \nWe will discuss various other related results such as how some
  classical sequences like Fibonacci\, triangular\, and more intersect the 
 set of all possible Reisel and/or Sierpiński numbers.\n
LOCATION:https://researchseminars.org/talk/CANT2026/77/
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