Some Results of Research in Computational Number Theory

http://www.trnicely.net

Dr. Thomas R. Nicely

Professor Emeritus of Mathematics
Lynchburg College
1501 Lakeside Drive
Lynchburg VA 24501-3113 USA

Current e-mail address

Site last updated 0300 GMT 15 July 2014.

NOTES



NOTES: For simplicity, numbers of very large or very small magnitude, appearing in some documents on this site, may be written using the floating-point notation of FORTRAN and C. For example, 56e15 means the same thing as 56000000000000000, 5.6*10^16, 5.6·10^16, 5.6e16, 5.6·1016, 5.6×1016, etc. However, in some bibliographic references, such a number may be rendered in TeX style, thus: $5.6 \times 10^{16}$. Also, the default on this site is that K and KB equal 1000 bytes; M and MB equal 1000000 bytes; G and GB equal 1000000000 bytes, etc.

DESCRIPTION OF RESEARCH

Code written primarily in GNU C, and distributed asynchronously across available personal computers running under extended DOS, Windows, and GNU/Linux, is employed to enumerate primes, prime gaps, prime constellations (twins, triplets, and quadruplets) and their reciprocal sums (to extrapolate estimates for the corresponding Brun's constants). Some related computational results obtained by other researchers are also reported here.

PAPERS (Unpublished)

PAPERS (Published)

TABLES OF PRIME GAPS

OTHER TABLES