Two triangular number primality tests and twin prime counting in arithmetic progressions of modulus 8

@inproceedings{Huerlimann2016TwoTN,
  title={Two triangular number primality tests and twin prime counting in arithmetic progressions of modulus 8},
  author={Werner Huerlimann},
  year={2016}
}
Two triangular number based primality tests for numbers in the arithmetic progressions 1 8 ± n are obtained. Their use yield a new Diophantine approach to the existence of an infinite number of twin primes of the form (8 1, 8 1) n n − + . 

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