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Forum: Other Mathematical Topics

2019-12-21, 16:19

Replies: 5

How much smaller can "primitive" factors be?

Views: 6,448

Posted By Dr Sardonicus

I find the function F(z) \; = \;...

I find the function

F(z) \; = \; \prod_{i=1}^{\infty}(1 \; - \; z^{i})\text{, }|z|\;<\; 1

far more interesting than the decimal digits of its evaluation at a particular value of z. I note...

Forum: Other Mathematical Topics

2019-12-20, 15:13

Replies: 5

How much smaller can "primitive" factors be?

Views: 6,448

Posted By Dr Sardonicus

After a bit of quiet reflection on the well-known...

After a bit of quiet reflection on the well-known formula

\Phi_{n}(x)\;=\;\prod_{d\mid n}(x^{d} \; - \; 1)^{\mu(\frac{n}{d})}

I noticed that substituting x = 2 and doing a bit of rearranging...

Forum: Other Mathematical Topics

2019-12-19, 21:57

Replies: 5

How much smaller can "primitive" factors be?

Views: 6,448

Posted By Dr Sardonicus

I'm not sure what you mean to be asking. ...

I'm not sure what you mean to be asking. Obviously, the smallest positive integer congruent to 1 modulo any positive integer modulus m is 1.

If you want integers whose prime factors are...

Showing results 1 to 3 of 3

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