View Proposal #464
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| ID | 464 |
|---|---|
| First Name | Michael |
| Last Name | Heeren |
| Institution | Kaplan University |
| Speaker Category | faculty |
| Title of Talk | Sums and Differences of Two Prime Numbers |
| Abstract | Two unsolved number theory questions are "Is every even whole number greater than 2 the sum of two primes numbers?" and "For every whole even integer, does there exist two prime numbers with that difference?" This presentation will look at these two questions by using a single table created by the addition of integers. The cells that have the sums of odd prime numbers, the opposite of odd prime numbers, or the sum of an odd prime number and the opposite of an odd prime number will be shaded. There will then be two inductive proofs concerning the shaded cells whose results can be used to help answer those two questions. |
| Subject area(s) | Number Theory |
| Suitable for undergraduates? | Y |
| Day Preference | Either |
| Computer Needed? | N |
| Bringing a laptop? | Y |
| Overhead Needed? | N |
| Software requests | |
| Special Needs | I need to be able to use a projector to display the screen from my laptop onto a screen for the audience to see. |
| Date Submitted | 08/07/2017 |
| Year | 2017 |