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Divisibility of 29 (Posted on 2013-05-15)

The integers x,y,z are such that 29 divides the sum x⁴+y⁴+z⁴. Determine if 29⁴ also divides x⁴+y⁴+z⁴.

No Solution Yet Submitted by Danish Ahmed Khan

Rating: 4.0000 (1 votes)

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A curious and interesting number.

Comment 4 of 4 |

The entry for 29 in The Penguin Dictionary of Curious and Interesting Numbers by David Wells (1987) (Wow I've had this book a long time) contains:

No sum of three 4th powers is divisible by either 5 or 29 unless they all are. [Euler]

Posted by Jer on 2013-05-21 15:53:26

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