User:Norman Reynolds

I am a mathematics graduate, BA from the University of Florida (1969) and MSc from Birkbeck, University of London (2015), currently researching prime number density in the rings of Gaussian and Eisenstein integers. I also tutor mathematics and do amateur astronomy. My website is http://normandevauxreynolds.co.uk/.

In March 2014, as part of my MSc dissertation at Birkbeck, I started on an infinite walk in the Gaussian integers, stepping only on the Gaussian primes, as proposed by the late Basil Gordon (https://en.wikipedia.org/wiki/Gaussian_moat). The walk is on going, running continuously on three Raspberry Pis and as of September 2017, has reach the Gaussian prime 187,648,982,345 + 187,649,006,368i.

In the ring of Eisenstein integers, I am generating all primes in the first uncitant (my name for the first one twelfth sector of the complex plane, taken from here https://en.wikipedia.org/wiki/Numeral_prefix). This is in an effort to locate successive Eisenstein moats. As of September 2017, I have generated all of the primes out to a distance of 1.5 million units from the origin of the complex plane and have located the first eight Eisenstein moats.