You are cordially invited to the Number Theory Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Tomos Parry (Bilkent)<\/p>\n
\u201cBrun\u2019s sieve\u201d<\/p>\n
Abstract: Last time in this mini seminar series on sieves we discussed the classical sieve of Eratosthenes-Legendre, obtained by combinatorics \u2013 applying Inclusion-Exclusion to sets of multiples of primes. Although initially looking promising, this sieve (in its first basic form) couldn\u2019t be used to get primes because of an accumulation of error terms.<\/p>\n
Brun was the first to show the sieve approach can get results. He did this by stopping the Inclusion-Exclusion process at a certain point, and with this he proved his famous theorem that the series of reciprocals of prime twins
\n\u2211_(prime twins)\u25921\/p converges.<\/p>\n
(We actually showed last time this followed from Eratosthenes-Legendre if we apply it more carefully).<\/p>\n
This week we\u2019ll discuss Brun\u2019s sieve.<\/p>\n
Date: Friday, April 25, 2025
\nTime: 19:00
\nPlace: SB-Z11<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the Number Theory Seminar organized by the Department of Mathematics. Speaker: Tomos Parry (Bilkent) \u201cBrun\u2019s sieve\u201d Abstract: Last time in this mini seminar series on sieves we discussed the classical sieve of Eratosthenes-Legendre, obtained by combinatorics \u2013 applying Inclusion-Exclusion to sets of multiples of primes. [\u2026] <\/p>\n