Determine, with proof, the minimum value of c

aanvarendbq28

aanvarendbq28

Answered question

2022-03-27

Determine, with proof, the minimum value of c such that cn+2014 has all digits less than 5, where c, nN possible values of n. Note that N does not include 0. In other words, c,n shall not assume the value of 0 or anything lesser than 1 in general.

Answer & Explanation

Korbin Rivera

Korbin Rivera

Beginner2022-03-28Added 11 answers

Step 1
It is easy to verify that 10 works (assuming that N is the positive integers - nothing works if n can be 0).
Now 1 to 5 don't work because taking n=1 we have a value between 2015 and 2019 - the units digit is too big.
Also, 6 to 9 don't work, because taking n=2 we have a value between 2050 and 2095 - the tens digit is too big.

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