Forum - Arithmetics

Sum of perfect squares

Nicholas Ferentz
Visitor
2015-12-14 03:24:38
#1
Show that 1002013 could be written as a sum of perfect squares.

 

RE: Sum of perfect squares

SteveC
Member
2015-12-14 03:39:40
#2

1002013 = 100·1002012 = (64 + 36)·1002012 = (82 + 62) · (1001006)2 = 82 · (1001006)2 + 62 · (1001006)2 = (8·1001006)2 + (6·1001006)2

 
 

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