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[an+b] is prime for all natural n

Source: 2015 Latvia BW TST P13

December 16, 2022
floor functionnumber theoryprime

Problem Statement

Are there positive real numbers aa and bb such that [an+b][an+b] is prime for all natural values of nn ?
[x][x] denotes the integer part of the number xx, the largest integer that does not exceed xx.
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