The Gilda language is intended to make it easier and to build high quality software. This is achieved by addressing issues with portability, reuse, ease of use, software maintenance, reliability, testing, and debugging. The language integrates several innovations with a clean and simple syntax.
These primality tests extend Steve Worley's 32 bit primality test. They improve on Jim Sinclair's test that uses 7 SPRP tests. 32 bit numbers are checked with a single SPRP test, two are used for 49 bit numbers, and three for 64 bit numbers.
Numbers under 2^32 can be tested using the SPRP bases in: is.prime.32.base.data
Numbers from 2^32 to 2^64 can be tested using the base pairs in: is.prime.64.base.data
Gilda function determines if any 64 bit number is prime.
The list.is.prime.32.g program lists the bases used to test 32 bit numbers for primality.
It uses this sprp.gg implementation of the Strong Probable Prime test.
The tests have been independently verified, however, you should verify them before using them. Please let me know if you do.
Visit this page for recent progress involving the Miller-Rabin primality test.
Exploration of a revised Collatz Conjecture
A Windows program to print the revised Collatz series: collatz.exe
B. A. Berg, "Disentangling Exceptions", Brown University, December, 2008
Ahmad, Berg, Cetintemel, Humphrey, Hwang, Jhingran, Maskey, Papaemmanouil, Rasin, Tatbul, Xing, Zdonik, "Distributed Operation in the Borealis Stream Processing Engine", 2nd International Conference on Geosensor Networks, Boston, MA, October 2006
B. A. Berg, "A Distributed Catalog for the Borealis Stream Processing Engine", Brown University, May 31, 2006