Prime Explorer [], developed by a San Francisco-based software company called Mode of Expression, provides an interactive view of all the prime numbers ranging from 1 to 62,500.

Each prime number is represented by a bright, white square, whereas a non-prime (“composite”) is grey. Visitors can select difference spatial arrangements of these numbers, ranging from several variants of the well-known Ulam Spiral, over the Archimedian spiral, to the more sophisticated 3D Hilbert curves.

Some spirals contain strikingly bright diagonals or arms. One can attempt to select 3 prime numbers within these apparent constellations to highlight a curve (“quadratic polynomial”) that fits this numerical combination, and explore how the the according visual pattern changes over the different spatial layouts.

See also:
. On the Pattern of Primes
. Nature by Numbers Movie
The Visualization of Randomness
Data Signals on a Spiral
Ulam Prime Spiral
Visualizing and Predicting Prime Numbers
Symmetrical Mathematical Structures
Number Spiral