What are prime numbers?
In the figure: The Sieve of Eratosthenes was created by Eratosthenes of Cyrene, a greek mathematician from the 3rd century B. C. It is a simple algorithm to find all prime numbers up to a specified integer.
Around the year 300 B. C., Euclides demonstrated that an infinitude of prime numbers exists. The prime numbers are the opposite of composite numbers which are those numbers with some natural divisor rather than itself or the unit. By definition, the number 1 is not a prime nor a composite number.
The distribution of the prime numbers is a recurrent subject of investigation in the Theory of Numbers: if considered individually the prime number seem to be randomly distributed, however its "global" distribution follows well-defined laws.
There is a great number of open conjectures about the prime numbers like for instance the Riemann Hypothesis and the Goldbach's Conjecture.
In the figure: Riemann zeta function ζ(s) in the complex plane. The color of a point s encodes the value of ζ(s): dark colors denote values close to zero and hue encodes the value's argument. The white spot at s = 1 is the pole of the zeta function; the black spots on the negative real axis and on the critical line Re(s) = 1/2 are its zeros.
We propose to take advantage of Ibercivis calculus capability to know a little more on these numbers, about their distribution, and to try to find counterexamples to the conjectures.
In this project the software code is publicly available to allow any volunteer to read the code and possibly to incorporate improvements on it. It is also available a forum to the exchange of ideas on the project.
History of the prime numbers
Surface screening results for PDB:1QCF. From up left to down right; a) beads represent protein spots and the color of each bead is related with the value of the scoring function, so colors from red to blue indicate lower values for the scoring function, b) histogram with the distribution of scoring function values, c) red and blue molecules represent crystallographic and predicted pose for the ligand, RMSD is lower than 1 Angstrom, and d) depiction of the hydrogen bonds established by the ligand with the closest residues.
GRIPENET: end of the first season