Day 09 in Mat310

Today: Remarks: We've got a test coming up -- next Thursday...! You won't hand in your 3.3 problems: one will be featured on the test. Return 2.4 problems (graded 6b, 6c). Collect problems 3.1. Section 3.2: Sieve of Eratosthenes for primes from 2 to 200: 13 is enough... section 3.2 summary Problems from section 3.2: #3 #5 #9 Questions/Comments on old stuff? Section 3.3: the Goldbach Conjecture section 3.3 summary Additional problems from section 3.3, p. 59: #20 #23

Links:

• Mathematica code
• Basic sieve of Eratosthenes
• Eratosthenes
• Crater Eratosthenes
• lists of primes
• Recent discoveries of the largest prime
• The Prime Pages
• Dirichlet

  In [1] Dirichlet's character and teaching qualities are summed up as follows:-

  He was an excellent teacher, always expressing himself with great clarity. His manner was modest; in his later years he was shy and at times reserved. He seldom spoke at meetings and was reluctant to make public appearances.

  At age 45 Dirichlet was described by Thomas Hirst as follows:-

  He is a rather tall, lanky-looking man, with moustache and beard about to turn grey with a somewhat harsh voice and rather deaf. He was unwashed, with his cup of coffee and cigar. One of his failings is forgetting time, he pulls his watch out, finds it past three, and runs out without even finishing the sentence.