A 27 x 27 Prime Number Interval Square

Barry Dalgarno

17 April  2025               

Dedicated to my mother Ruth Dalgarno

A 27 x 27 prime number interval square.

Consecutive prime numbers 532048248713 to 532048249441.

Interval sequence 14-22-2-18-22-26-16-30-6-2-60-6-6-54-12-4-8-6-12-10-20-54-54-22-122-120.

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