perplexus.info :: Just Math : An Exponent Product And 98 Zeroes Puzzle

An Exponent Product And 98 Zeroes Puzzle (Posted on 2007-10-27)

Find the positive integer pair (m, n) such that m*n is the minimum and the last 98 digits in m^m*nⁿ are all zeroes.

Note: 99^th digit from the right in m^m*nⁿ is not zero.

Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Solution: (Hide)

(m, n) = (98, 75), or (75, 98).

EXPLANATION:

Refer to the analytic solution submitted by Dej Mar in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Solution	K Sengupta	2008-03-23 10:39:43
apologies	Daniel	2007-10-28 17:10:27
Solution	Dej Mar	2007-10-28 11:57:14
Basic programming language confirms	Charlie	2007-10-28 11:43:48
new minimum found	Daniel	2007-10-28 06:02:34
new minimum found	Daniel	2007-10-28 06:02:03
new minimum found	Daniel	2007-10-28 06:02:02
new minimum found	Daniel	2007-10-28 06:02:00
new minimum found	Daniel	2007-10-28 06:01:59
new minimum found	Daniel	2007-10-28 06:01:58
new minimum found	Daniel	2007-10-28 06:01:57
Just a try!	Chesca Ciprian	2007-10-27 14:57:03

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