| Problem Set |
Section |
Problems |
|---|---|---|
| 08 | 2.3(I) | 2 -- Waiting for a nonprime. This is a problem we did in class. So, instead of finding the first number n for which (1)(2)(3)...(n) + 1 is nonprime, find the 2nd. |
| * | In problem 2 you found a natural number n and a nonprime (1)(2)(3)(4)...(n) + 1. What prime number divides the latter but is larger than n? | |
| 2.3(I) | 6 -- Nonprimes | |
| 10 -- Odd Goldbach | ||
| II | 10 -- A prime-free gap | |
| ** | Write a paragraph (preferably as short as possible but still offering a complete explanation) of how, after listing some of the prime numbers (say, all of them up to p: 2, 3, 5, 7, 11, 13, ..., p), we generated a larger prime than any so far listed. Be sure to include insight as to how we know that we get a different (larger) prime. | |
| 2.4 | Read this section. | |
| n | manditory problem |
| (n) | helper problem |
| [n] | ungraded problem |
| {n} | optional problem |