On primitive divisors of n^2+b
Number Theory and Polynomials(2007)
摘要
We study primitive divisors of terms of the sequence P_n=n^2+b, for a fixed
integer b which is not a negative square. It seems likely that the number of
terms with a primitive divisor has a natural density. This seems to be a
difficult problem. We survey some results about divisors of this sequence as
well as provide upper and lower growth estimates for the number of terms which
have a primitive divisor.
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关键词
quadratic polynomial. 1,primitive divisor,. prime,number theory
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