Golden Integers
Golden Integers
The positive root of the golden polynomial -x-1 is the famous golden ratio =ϕ≈1.61803 and the negative root is =-≈-0.61803. There are two integer solutions and to the congruence -x-1≡0(mod), where is a prime and is a positive integer (in this Demonstration, and ). Can either or be called a "golden integer" that is analogous to ?
2
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x
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1
ϕ
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2
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p
p
m
p=11,19,29,31
m=1,2,…,50
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ϕ