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Decompositions into cubes of primes (II)

✍ Scribed by Gupta, Hansraj


Book ID
112976500
Publisher
Springer-Verlag
Year
1936
Tongue
English
Weight
312 KB
Volume
4
Category
Article
ISSN
0370-0089

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## Abstract Necessary conditions for the complete graph on __n__ vertices to have a decomposition into 5‐cubes are that 5 divides __n__β€‰βˆ’β€‰1 and 80 divides __n__(__n__β€‰βˆ’β€‰1)/2. These are known to be sufficient when __n__ is odd. We prove them also sufficient for __n__ even, thus completing the spectr