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ON VALUES TAKEN BY THE LARGEST PRIME FACTOR OF SHIFTED PRIMES

ON VALUES TAKEN BY THE LARGEST PRIME FACTOR OF SHIFTED PRIMES

Denote by $\mathbb{P}$ the set of all prime numbers and by $P(n)$ the largest prime factor of positive integer $n\geq 1$ with the convention $P(1)=1$ . In this paper, we prove that, for each $\unicode[STIX]{x1D702}\in (\frac{32}{17},2.1426\cdots \,)$ , there is a constant $c(\unicode[STIX]{x1D702})>1$ such that, for every fixed nonzero integer …