Mathematical Proceedings of the Cambridge Philosophical Society
A composite number n is called a pseudoprime if n|2n− 2.
Theorem 1. If a and b are natural numbers such that (a, b) = 1, then there exist infinitely many pseudoprimes of the form ax + b, where x is a natural number.
The proof of this theorem is given by the author in (5). This proof is based on the following two lemmas.
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