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Questions where prime numbers play a key-role, such as: questions on the distribution of prime numbers (twin primes, gaps between primes, Hardy–Littlewood conjectures, etc); questions on prime numbers with special properties (Wieferich prime, Wolstenholme prime, etc.). This tag is often used as a specialized tag in combination with the top-level tag nt.number-theory and (if applicable) analytic-number-theory.
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Expressing odd numbers as a prime minus $a^2+a$
I am looking for results about expressing odd numbers in the form
$$p-a^2-a,$$
where $p$ is a prime and $a$ is a positive integer.
Assuming Bunyakovsky conjecture this is easy as $x^2+ x+c$ are alw …