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- W2963293844 abstract "Let d⩾4 and c∈(−d,d) be relatively prime integers. We show that for any sufficiently large integer n (in particular n>24310 suffices for 4⩽d⩽36), the smallest prime p≡c(modd) with p⩾(2dn−c)/(d−1) is the least positive integer m with 2r(d)k(dk−c) (k=1,…,n) pairwise distinct modulo m, where r(d) is the radical of d. We also conjecture that for any integer n>4 the least positive integer m such that |{k(k−1)/2modm:k=1,…,n}|=|{k(k−1)/2modm+2:k=1,…,n}|=n is the least prime p⩾2n−1 with p+2 also prime." @default.
- W2963293844 created "2019-07-30" @default.
- W2963293844 creator A5075574908 @default.
- W2963293844 date "2016-03-01" @default.
- W2963293844 modified "2023-10-18" @default.
- W2963293844 title "The least modulus for which consecutive polynomial values are distinct" @default.
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- W2963293844 doi "https://doi.org/10.1016/j.jnt.2015.08.001" @default.
- W2963293844 hasPublicationYear "2016" @default.
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