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Using Jiang function we prove that for every positive integer k there exist infinitely many primes P such that each of ( 1) P j j + + is prime. Theorem. , ( 1)( 1, , ) P P j j j k + + = L . (1) For every positive integer k there exist infinitely many primes P such that each of ( 1) P j j + + is prime. Proof. We have Jiang function [1, 2, 3] 2 ( ) [ 1 ( )] P J P P ω χ = Π − − , (2)

National Research Integrity System (NRIS) of foreign countries (3) : Features of research misconduct and the point of building an NRIS