All exclamation marks - Part 1

Number Theory Level 3

What is the smallest positive integer n n such that n ! n! has (strictly) more than 5 digits (in decimal representation)?

See Part 2 and Part 3 .

10 8 9 7

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Chung Kevin by Chung Kevin , 45, Australia

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1 solution

Sualeh Asif
Jun 12, 2015

7 ! = 5040 7! = 5040 8 ! = 40320 8! = 40320 9 ! = 362880 9! = 362880 is the first positive integer whose factorial has more than 5 digits!

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the trick is that the question states more than 5. most of the people would have gone for 8

Sathvik Acharya - 4 years, 3 months ago

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