Wednesday, January 22, 2014
- Discussion of course details:
- handout course
- Discussion of the many course features:
- In class activities.
- The Tool kit
- personal info sheet.
- Flatland as social commentary/satire.
- What is contemporary mathematics?
- Recent results on prime number problems.
- List of primes: 2,3,5,7,11,13,17,19,23, 29,31,...
- Some pairs are "twins" 3,5; 5,7; 11,13; 17,19; 29,31;...
- The twin prime conjecture: There are an infinite number of
- This has not been proven though there is much evidence to
support the statement as being true.
- Recently there have been results that there are an infinite
number of pairs of primes that are within a large fixed number
of each other.
- FROM WIKIPEDIA:On April 17, 2013, Yitang Zhang announced a proof that
for some integer N that is at most 70 million, there
are infinitely many pairs of primes that differ by N.
Zhang's paper was accepted by Annals of Mathematics
in early May 2013.
Terence Tao subsequently proposed a
project collaborative effort to optimize Zhang’s bound;
as of November 28, 2013, Thomas Engelsma claims to have
reduced the bound to N = 576.
- Counting activity: How many pencils? Next class: How