Last month, at the West Coast Number Theory conference in Chico, CA, I gave a talk on different versions of the classical Goldbach conjecture (and related it to the other Goldbach conjecture I've been talking about recently. Here are the slides.

# Pseudoprimes and Other Research

Items related to Jon Grantham's mathematical research.

## Saturday, January 19, 2019

## Friday, April 06, 2018

### Talking Again about Another Conjecture of Goldbach

Here are the slides for a talk I am giving tomorrow at the MASON conference in Towson, MD. They are almost identical to the slides for the talk I gave last month at the SERMON conference.

I did, however, get some excellent questions last month that have changed the way I think about the problem, so I hope to incorporate those insights into the talk itself.

I did, however, get some excellent questions last month that have changed the way I think about the problem, so I hope to incorporate those insights into the talk itself.

## Thursday, March 08, 2018

### Another Conjecture of Goldbach

Here are the slides for a talk I am giving this weekend at the SERMON conference in Johnson City, TN. The basic question addressed is as follows.

Look at all numbers

Look at all numbers

*a*such that*a*is prime. (The sequence starts 1, 2, 4, 6, 10... ) Goldbach conjectured that any number (other than 1) in that sequence is the sum of two previous numbers. So 2=1+1, 4=2+2, 6=2+4, 10=4+6, etc. We verify this for^{2}+1*a*up to 2*10^{14}and explore how easy it is to find these sums. This is joint work with Hester Graves.## Saturday, October 29, 2016

###
Parallel Computation of Primes of the Form x^{2}+1

Today I gave a talk on Parallel Computation of Primes of the Form x

You can see my slides here.

I computed all such primes up to 6.25x10

^{2}+1 at Towson University, at the first MASON conference.You can see my slides here.

I computed all such primes up to 6.25x10

^{28}.## Tuesday, August 18, 2015

## Tuesday, May 13, 2014

### All My Reprints

Inspired by the availability of a reprint for my latest publication, I have updated my list of reprints. So 2 papers this year, but 6 in total over the past 20 years! I have two projects in the computations-in-progress-but-not-yet-written-up stage, so hopefully I'll end up somewhere between the two over the next few years.

### Full Text of "Repeatedly Appending Any Digit to Generate Composite Numbers"

The

It is available at http://www.pseudoprime.com/amer.math.monthly.121.05.416-wagon.pdf.

So you can read it even if you don't otherwise have access to the

*American Mathematical Monthly*recently e-mailed my co-authors and me a PDF copy of our article. The e-mail contained the line, "You may post it on www.arXiv.org and your personal website if you so choose." Very reasonable!It is available at http://www.pseudoprime.com/amer.math.monthly.121.05.416-wagon.pdf.

So you can read it even if you don't otherwise have access to the

*Monthly*, which Wikipedia tells me is the "most widely read mathematics journal in the world."## Friday, April 18, 2014

### Publication of "Repeatedly Appending Any Digit to Generate Composite Numbers"

I'm proud to say that "Repeatedly Appending Any Digit to Generate Composite Numbers," a paper I co-authored with Witold Jarnicki, John Rickert and Stan Wagon, has appeared in the May 2014 American Mathematical Monthly. If you are an MAA member (which, um, I'm not), access it through their web site.

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