A 25 x 25 Prime Number Interval Square

Barry Dalgarno

15 April  2025               

Dedicated to my mother Ruth Dalgarno

A 25 x 25 prime number interval square.

Consecutive prime numbers 72004935889 to 72004936513.

Interval sequence 40-42-26-24-36-10-12-42-2-46-14-6-18-64-6-26-18-30-18-22-6-80-34-2.

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