2018 AMC 12B Problem #19
Mary chose an even 4-digit number She wrote down all the divisors of in increasing order from left to right: At some moment Mary wrote 323 as a divisor of What is the smallest possible value of the next divisor written to the right of 323?
This problem is part of the 2018 AMC 12B .
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1 solution
using Mathematica we can easily find all the candidates
#//.{a___,323,b_,c___}:>{b}&/@Select[Divisors/@(Range[500,4999] 2),!FreeQ[#,323]&]which returns
{{646}, {646}, {646}, {646}, {646}, {646}, {646}, {342}, {340}, {374}, {408}, {442}, {476}, {510}}