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8 distinct partitions (Posted on 2018-12-06) Difficulty: 3 of 5
This number N can be expressed as the sum of 1, 2, 3, 4, 5, 6, 7, 8 distinct squares.

Find N and show the 8 possible partitions.

Rem: This fact was discovered by Crespi de Valldaura.

No Solution Yet Submitted by Ady TZIDON    
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re(3): computer solution Comment 6 of 6 |
(In reply to re(2): computer solution by Charlie)

It seems we are done here, so the exact partitions I used are:

325^2 =
36^2+323^2 =
48^2+64^2+315^2 =
35^2+84^2+120^2+288^2 =
44^2+45^2+108^2+180^2+240^2 =
4^2+9^2+10^2+98^2+132^2+280^2 =
1^2+2^2+7^2+81^2+99^2+147^2+260^2 =
21^2+28^2+32^2+52^2+72^2+96^2+256^2+144^2


  Posted by broll on 2018-12-08 22:39:13
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