Numbers which are not the sum of distinct squares: Difference between revisions
Numbers which are not the sum of distinct squares (view source)
Revision as of 22:57, 4 December 2021
, 2 years agoclarify
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'''90''' == 36 + 25 + 16 + 9 + 4 == 64 + 16 + 9 + 1 == 49 + 25 + 16 == 64 + 25 + 1 == 81 + 9
'''130''' == 64 + 36 + 16 + 9 + 4 + 1 == 49 + 36 + 25 + 16 + 4 == 100 + 16 + 9 + 4 + 1 == 81 + 36 + 9 + 4 == 64 + 49 + 16 + 1 == 100 + 25 + 4 + 1 == 81 + 49 == 121 + 9
A
The number of positive integers that '''cannot''' be generated by any combination of distinct squares is in fact finite:
2, 3, 6, 7, etc.
;Task
Find and show here, on this page, '''every''' positive integer than
Do not use magic numbers or pre-determined limits. Justify your answer mathematically.
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