Hint: modulo 5
Find all positive solutions to the following Diophantine equation ------
a 4 + b 4 + c 4 + d 4 + e 4 + f 4 + g 4 + h 4 = 26959 .
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2 Answers
minch
·2010-05-19 22:20:30
equation can be written as:
(a4-1) + (b4-1)+(c4-1) + (d4-1)+(e4-1) + (f4-1)+(g4-1) + (h4-1)=26951
L.H.S is a multiple of 5 but R.H.S is not, hence no solution.