A 23 x 23 Prime Number Interval Square

Barry Dalgarno

11 April  2025               

Dedicated to my mother Ruth Dalgarno

A 23 x 23 prime number interval square.

Consecutive prime numbers 12447734281 to 12447734809.

Interval sequence 42-78-36-6-34-2-4-18-38-70-14-24-12-12-16-36-14-6-28-20-10-8.

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