The (double) Primorial sieve & Prime spirals |
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**Januari 2022: **

The base 10^*m* numeral system evolved from the (double) primorial sieve, which is one of the results of the hunch to place a prime number on the short leg of a primitive Pythagorean triangle.

The right-to-left base 10*^m* positional numeral system is the result of a study into verifying large prime numbers, without using the operators multiplying and division.

The final product of the Base 10^*m* numeral system.pdf was completed januari 2022.

** ****September 2019: **

The Modulo primality test is based on the prime spiral with **one** segment. Each natural number is member of the Eastward
family of quadratic polynomials with only two terms.

By way of modular arithmetic the number of digits is reduced when checking a large integer for a possible divisor.

The final product of Modulo primality test.pdf was completed september 2019.

** ****Augustus 2018: **

The four segments of the Ulam spiral in a Cartesian coordinate system where taken apart.

New prime spirals where drawn up with just one, two or three segements.

This led to prime spirals with infinitely many segments.

The final product of the segmented prime spirals.pdf was completed mid 2018.

** ****May 2017: **

In 2013 preliminary results of the (double) primorial sieve.pdf gave an opening to unravel the Ulam spiral,

and
the opportunity to test the usefulness of the (double) primorial sieve.

The final product of the unraveling of the Ulam spiral.pdf was completed mid 2016.

** January 2012:
**The domainname "www.primorial-sieve.com" was registered and activated .

Late 2011:

The software was developed for both the Primorial sieve and the double Primorial sieve.

Both programs where integrated into one, since the double primorial sieve uses the same large primorial sieve.

A draft paper with the full description of the (double) primorial sieve was officially registered.

A prime number was placed on the short side of a primitive Pythagorean triangle, which ultimately led to the definition of the (double) primorial sieve.

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