Another problem where the arbitrarily chosen number is 2018

Number Theory Level 3

What is the smallest positive integer n n such that 2018 ! n \frac{2018!}{n} isn't an integer?


The answer is 2027.

Stephen Mellor by Stephen Mellor , 20, United Kingdom

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2 solutions

X X
May 12, 2018

Find the first prime larger than 2018 ,and get 2027

3 Helpful 0 Interesting 0 Brilliant 0 Confused

Exactly...(+1)

Ravneet Singh - 3 years ago
Giorgos K.
May 11, 2018

Using M a t h e m a t i c a Mathematica

n=1;While[IntegerQ[2018!/n++]];n-1

returns 2027 \boxed{2027}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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