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The solution of W. Sierpiński's problem
Authors:A. Rotkiewicz
Affiliation:1. Instytut Matematyczny Polskiej Akademii Nauk, ul. ?niadeckich, 8-00-950, Warszawa, (Polonia)
2. Department of Mathematics and Nature, Warsaw University Division, 15-424, Biatystok
Abstract:A positive integern is called a pseudoprime ifn|2 n ?2 andn is composite. W. Sierpinski put forward the following problem: Do there infinitely many arithmetical progressions formed of four pseudoprimes? In this paper it is proved that answer to this problem is in the affirmative.
Keywords:
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