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Danube Competition in Mathematics
2009 Danube Mathematical Competition
2
2
Part of
2009 Danube Mathematical Competition
Problems
(1)
all positive integer, besides power of 2, are sums of consecutive naturals
Source: Danube 2009 p2
7/22/2019
Prove that all the positive integer numbers , except for the powers of
2
2
2
, can be written as the sum of (at least two) consecutive natural numbers .
number theory
Sum
consecutive