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Primes of the form x^2 + ny^2 David A. Cox
Publisher: Wiley-Interscience

There are twelve possible ways of making figure eights: The Twelve Solutions include (The first two numbers are the top segment $AB$, the second two numbers form the bottom segment $CD$.): 1-2-9-3 2-4-1-5 By viewing a list of primes, you' ll find exactly 7 pairs of primes with the desired property: $$\left\{(2,5), (3,7), (5,11), (11,23), (23,47), (29,59), (41,83)\right\}$$. Although the form makes this look daunting, it's simply an exercise in prime factoring. Drag the red point to form a single row of numbers. There is probably an answer in the book "Primes of the form $x^2+ny^2$", but it would be better if you say a few words about your background, i.e. We found a way to create arrays with exactly four numbers shaded blue. Similarly, we make a 4 x 5, a 5 x 4, and a 10 x 2 array. In Mathematics Education at New York University. What is the greatest possible value of x+y? Fall 2012 Problem Set 4 Each step changes the $x$ or $y$ coordinate by 1. If the array has at least 2 columns and 2 rows, then the number it represents isn't prime. If the number of rows and columns in the array are equal and prime, the array will contain exactly three numbers shaded blue. Do you know anything about splitting of primes? Watch what happens when we re-write the information in that form: So, 540= 2*2*3*3*3*5.