MathDB
Number Theory / Sets

Source:

August 11, 2019
number theorySetsprime numbersarithmetic sequence

Problem Statement

Consider the set EE of all natural numbers nn such that whenn divided by 11,12,1311, 12, 13, respectively, the remainders, int that order, are distinct prime numbers in an arithmetic progression. If NN is the largest number in EE, find the sum of digits of NN.
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