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> Logic> Probability> Shapes> General (1)
> Numbers (1)> Games> Paradoxes> Riddles
> Just Math (2)> Science> Algorithms
Find all possible positive integer solutions to this equation:

AN - BN = 2015, whenever N ≥ 2

Note: The common exponent must also be an integer.

(No Solution Yet, 1 Comments) Submitted on 2015-06-30 by K Sengupta   
Difficulty: 3 of 5 Bonus: Dragon Hunting (in General) Rating: 3.78
Prince Valiant went to fight a 3-headed, 3-tailed dragon.

He has a magic sword that can, in one stroke, chop off either one head, two heads, one tail, or two tails.

This dragon is of a type related to the hydra; if one head is chopped off, a new head grows. In place of one tail, two new tails grow; in place of two tails, one new head grows; if two heads are chopped off, nothing grows.

What is the smallest number of strokes required to chop off all the dragon's heads and tails, thus killing it?

(Solution Posted, 37 Comments) Submitted on 2004-12-10 by SilverKnight   
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