**Authors:** Chun-Xuan Jiang

Using Jiang function we prove that if J_{2}(ω) ≠ 0 then there are infinitely many primes P
such that each of jP^{4} + k - j is a prime, J_{2}(ω) = 0 then there are finite primes P such
that each of jP^{4} + k - j is a prime.

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[v1] 21 May 2010

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