ChiWaWa ChiWaWa

08-01-2019
Mathematics

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Hi. What is the smallest number that can be written in 6 ways as the sum of the squares of 3 primes? Also, please list them as well.

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offguard offguard

08-01-2019

2019 is the smallest number.

Here are the ways:

[tex]7^2+11^2+43^2[/tex]

[tex]7^2+17^2+41^2[/tex]

[tex]13^2+13^2+41^2[/tex]

[tex]11^2+23^2+37^2[/tex]

[tex]17^2+19^2+37^2[/tex]

[tex]23^2+23^2+31^2[/tex]

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