A 21 x 21 Prime Number Interval Square

Barry Dalgarno

7 April  2025               

Dedicated to my mother Ruth Dalgarno

A 21 x 21 prime number interval square.

Consecutive prime numbers 2000058251 to 2000058691.

Interval sequence 20-18-4-44-12-34-8-6-16-68-10-2-28-26-12-22-2-64-26-18.

In the figure shown, the points along the square diagonal (horizontal) represent consecutive prime numbers, and the other points represent the non-primes occupying the prime intervals. 

References

1. B. Dalgarno (2009). A New Law of Prime Numbers Based on an Infinite Structure of Sequential Triangular Symmetry from Finely-Tuned Geometric Entanglement of the Prime Intervals 

 https://sites.google.com/site/geometryoftheprimes/

2. B. Dalgarno (2014). Prime Number Interval Squares 

https://sites.google.com/site/geometryoftheprimes/prime-number-interval-squares-2