The (double) Primorial sieve & Prime spirals |
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The segmented prime spirals are an offspring of the counterclockwise Ulam spiral with startvalue 0, and are described in detail in the segmented prime spirals.pdf.

The Ulam spiral can be seen as an Ulam four-quarter spiral, and thus as a prime spiral with four segments.

There are infinitely many segmented prime spirals.

The mathematical properties of the segmented prime spirals are listed below.

The full description is found in the document segmented prime spirals.pdf.

The Ulam spiral (1963) is named after the Polish mathematician Stanislaw Ulam.

The graphical display shows that prime numbers have the tendency to appear on certain diagonals within the spiral.

The unraveling of the Ulam spiral.pdf is an offspring of the (double) primorial sieve.pdf project.

The mystery of the Ulam spiral is solved by the find of the eight families of functions that fully capture all natural numbers in the spiral.
The unraveled Ulam spiral offers a wide range of elegant features to further analyze prime numbers.

Segmented prime spirals : The brief