This work identifies properties of odd primes linked to natural numbers, highlighting relationships in their equations.
The odd primes, p and q, are called Siamese primes, if there exists a natural number, n, such that p = n 2 – 2 and q = n 2 + 2. Letting a be a natural number which is not a square, we present properties ofp and q, that satisfy the equations,p = n 2 – a and q = n 2 + a.
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M.Lewinter et al. (2025) studied this question.
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