A 13 x 13 Prime Number Interval Square

Barry Dalgarno

9 March 2024               

Dedicated to my mother Ruth Dalgarno

A 13 x13 prime number interval square.

Consecutive prime numbers 1228399 to 1228567.

Interval sequence 30-12-16-2-30-12-18-18-4-2-4-20.

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