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December 13th, 2014, 01:09 PM   #1
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Math Focus: Number Theory
Twin prime formulas ?!

((y^2-x^2)^n+x (x-y)^n+y (x-y)^n)/((x-y) (x+y)) = 4^(-n) (x^2-y^2)^n


n out of N

The system gives some twin prime solutions for x,y

Where can i find better ones?

Thx
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December 13th, 2014, 02:46 PM   #2
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seems like overkill. From OEIS A014574 comments, TP pairs can be found from centers n where sigma(n-1)=phi(n+1). An example is 1260768 yielding (1260767,1260769). Pari and other programs have those functions (for Pari, sigma, eulerphi)
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