All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Nineteenth Exponent Exposition (Posted on 2016-09-06)
The number 5353714662021596247595065017236556037762353639503 is the nineteenth power of a positive integer.

Find the integer using just pen and paper.

 No Solution Yet Submitted by K Sengupta No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 An analytic start and a calculator finish | Comment 2 of 3 |
5353714662021596247595065017236556037762353639503

is

53537146620.21596247595065017236556037762353639503
x 10^38

2^19 = 524288 while
3^19 = 1162261467 and
4^19 = 274877906944

so the answer is somewhere between 300 and 400.

Of course if we use a calculator we can find 19th root of 53537146620 is  3.669999999999221, in other words 3.67, so the answer would be 3.67 x 10^(38/19) = 3.67 x 10^2 = 367.

 Posted by Charlie on 2016-09-06 15:42:04
Please log in:
 Login: Password: Remember me: Sign up! | Forgot password

 Search: Search body:
Forums (2)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information