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This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

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## Comments

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TopNewestAll that i can see is your question and $\displaystyle \sum _{ n=1 }^{ \infty }{ \frac { { \sigma }_{ 2 }\left( n \right) }{ { n }^{ 6 } } } =\frac { { \pi }^{ 6 } }{ 945 } \times \frac { { \pi }^{ 4 } }{ 90 } =\frac { { \pi }^{ 10 } }{ 85050 }$

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Yes you are right Joel.

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Go further .... Try with sigma_3

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That will give odd zetas

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It will give odd zeta which is what you do not what as they are irreducable

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Can you actually find 8505000 or 8505?

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Next number 85050000. @Chinmay Sangawadekar

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Not in that sense .

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Then, what is the next number?

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Is a geometric progression with reason 10

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I see the pattern

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