Some BCMath/PHP number theory programs

Keith Matthews

1. Arithmetic
2. LLL-based and other integer matrix algorithms
3. Finding the chromatic and flow polynomials of a linear matroid over GF(p)
4. Examples of generalized 3x+1 mapping sequences and other recursively defined integer sequences
5. Continued fractions
6. Quadratic diophantine equations and fundamental units
7. Quadratic residues and nonresidues
8. Congruences
9. Primes, factoring of small integers, primitive roots
10. Some number theoretic functions
11. Binary quadratic forms and quadratic fields:
    • Positive discriminants
    • Negative discriminants
12. Some Markov matrix BCMATH programs

• BCMath
• BCMath programming hints for number theorists
• The PHP online manual
• Some BC number theory programs
• Base Conversion in PHP Using BCMath (Rick Regan)

Last modified 16th April 2023
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