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SUMMARY:Prime number models\, large gaps\, prime k-tuples and the square-r
 oot sieve - Kevin Ford (University of Illinois at Urbana-Champaign)
DTSTART:20190501T124500Z
DTEND:20190501T134500Z
UID:TALK121384@talks.cam.ac.uk
CONTACT:Aled Walker
DESCRIPTION:We introduce a new probabilistic model for primes\, which we b
 elieve \nis a better predictor for large gaps than the models of Cramer an
 d Granville.\nWe also make strong connections between our model\, prime k-
 tuple counts\,\nlarge gaps and the "square-root sieve".  In particular\, o
 ur model makes a\nprediction about large prime gaps that may contradict th
 e models of Cramer\nand Granville\, depending on the tightness of a certai
 n sieve estimate.\nThis is joint work with Bill Banks and Terence Tao.\n
LOCATION:MR4\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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