Barry Dalgarno

13 March 2025         

Dedicated to my mother Ruth Dalgarno

A 15 x15 prime number interval square.

Consecutive prime numbers 7504787 to 7505011.

Interval sequence 2-10-8-10-24-56-4-8-48-4-6-12-14-18.

In the figure shown, the unfilled circles along the square diagonal (horizontal) represent consecutive prime numbers, and the smaller filled circles 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