Number Theory

    

Polynomials Generating Twin Prime Numbers

Authors: Yukihiro Sano

In the Ulam spiral, there are places where prime numbers appear continuously on line. Integers are arranged in a square spiral in the Ulam spiral. I thought that if integers are arranged differently, other continuous prime numbers would appear. Therefore, I arrange integers in the angles of 45, 90, 135, 180, 225, 270, 315, 153, 160 degrees, etc.. Then, prime numbers appeared continuously on line. And usually, integers are arranged, but I wonder what would happen if I arranged odd numbers. I arrange odd numbers in the angles of 45, 90, 135, 180, 225, 270, 315, 360, 153, 160 degrees, etc.. Then, twin prime numbers appeared continuously on line etc.. I found many polynomials generating 14 to 4 consecutive twin prime numbers.

Comments: 31 Pages.

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Submission history

[v1] 2020-07-26 04:54:35
[v2] 2020-08-21 09:45:38

Unique-IP document downloads: 442 times

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