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SUMMARY:Kaisa Matomäki (University of Turku)
DTSTART:20210406T143000Z
DTEND:20210406T153000Z
DTSTAMP:20260423T130058Z
UID:MITNT/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/26/">A
 lmost primes in almost all very short intervals</a>\nby Kaisa Matomäki (U
 niversity of Turku) as part of MIT number theory seminar\n\n\nAbstract\nBy
  probabilistic models one expects that\, as soon as $h \\to \\infty$ with 
 $X \\to \\infty$\, short intervals of the type $(x- h \\log X\, x]$ contai
 n primes for almost all $x \\in (X/2\, X]$. However\, this is far from bei
 ng established. In the talk I discuss related questions and in particular 
 describe how to prove the above claim when one is satisfied with finding $
 P_2$-numbers (numbers that have at most two prime factors) instead of prim
 es.\n
LOCATION:https://researchseminars.org/talk/MITNT/26/
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