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Aleph One is a highly sophisticated program for generating fractals. Some major features are: A built-in expression generator, 32-bit colouring schemes for the fractals, multi-threaded and multi-server rendering! WOW! And lots, lots more...
The source code has moved to GitLab: https://gitlab.com/jmmcg/alephone
A simple sieve/prefactor program for Eisenstein-Mersenne Primes
A simple sieve/prefactor program for the so-called Eisenstein-Mersenne Primes: 3^p +- 3^((p + 1)/2) + 1. See http://oeis.org/A125738, A125739 and [1] for a good introduction. Some easily established properties are: p must be prime; sign is minus for p=+-1 (mod 12), plus otherwise; composites only have factors of form 6kp+1 (integer k).
Related probable primes (3^p -+ 3^((p + 1)/2) + 1)/7 are sieved at the same time. See http://oeis.org/A125743, A125744.
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Matho is a OS Independant Application and API for mathematical operations, features include curve sketching, calculus, iterative formulae, algebra solver, 2d/3d geometry and mechanical and statistical functionality.